diff --git a/books/bookvolbib.pamphlet b/books/bookvolbib.pamphlet
index 058f342..b9dbb6a 100644
--- a/books/bookvolbib.pamphlet
+++ b/books/bookvolbib.pamphlet
@@ -123,7 +123,6 @@ Stephen\ Watt          & Jim\ Wen         & Clifton\ Williamson
 $$
 \center{\large{Volume Bibliography: Axiom Literature Citations}}
 \end{titlepage}
-\pagenumbering{roman}
 \begin{verbatim}
 Portions Copyright (c) 2005 Timothy Daly
 
@@ -301,50 +300,67 @@ Axiom. The first section contains literature that mentions Axiom,
 initially derived with permission from Nelson Beebe's collection.
 The second section contains references from Axiom to the literature.
 
-\section{Axiom Citations in the Literature}
 \begin{thebibliography}{999}
+\section{Axiom Citations in the Literature}
+
+\subsection{A} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
 \bibitem[ACM89]{ACM89} 
 ACM, editor. Proceedings of the ACM-SIGSAM 1989 International
 Symposium on Symbolic and Algebraic Computation, ISSAC '89 ACM Press, 
 New York, NY 10036, USA, 1989, ISBN 0-89791-325-6, LCCN QA76.95.I59 1989
+
 \bibitem[ACM94]{ACM94} 
 ACM, editor, ISSAC '94. Proceedings of the International
 Symposium on Symbolic and Algebraic COmputation. ACM Press, New York, NY,
 10036, USA, 1994, ISBN 0-89791-638-7. LCCN QA76.95.I59 1994
+
 \bibitem[ACS91]{ACS91} 
 D. Augot, P. Charpin, and N. Sendrier. ``The miniumum
 distance of some binary codes via the Newton's identities'', In Cohen and
 Charping [CC91], pages 65-73 ISBN 0-387-54303-1 (New York), 3-540-54303-1
 (Berlin). LCCN QA268.E95 1990
+
 \bibitem[AL94]{AL94}
 Adams, William W. and Loustaunau, Philippe
 ``An Introduction to Gr\"obner Bases''
 Amaerica Mathematical Society (1994) ISBN 0-8218-3804-0
+
 \bibitem[And84]{And84}
 George E. Andrews. ``Ramanujan and SCRATCHPAD''. in Golden and Hussain [GH84], 
 pages 383-??
+
 \bibitem[And88]{And88}
 G. E. Andrews. ``Application of Scratchpad to problems in special functions
 and combinatorics'' In Janssen [Jan88], pages 158-?? ISBN 3-540-18928-9,
 0-387-18928-9 LCCN QA155.7.E4T74 1988
+
 \bibitem[Ano91]{Ano91}
 Anonymous editor, Proceedings 1991 Annual Conference, American Society for
 Engineering Education. Challenges of a Changing World. ASEE, Washington, DC
 USA 1991 2 vol.
+
 \bibitem[Ano92]{Ano92}
 Anonymous. Programming environments for high-level scientific problem solving.
 IFIP TC2/WG 2.5 working conference. IFIP Transactions. A Computer Science 
 and Technology, A-2:??, 1992. CODEN ITATEC. ISSN 0926-5473
+
 \bibitem[Ano95]{Ano95}
 Anonymous. GAMM 94 annual meeting. Zeitschrift fur Angewandte Mathematik und
 Physik, 75 (suppl. 2), 1995, CODEN ZAMMAX, ISSN 0044-2267
+
+\subsection{B} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[BGJ70]{BGJ70}
 Fred W. Blair, James H. Griesmer, Richard D. Jenks
 ``An interactive facility for symbolic mathematics''
 Proc. International Computing Symposium, Bonn, Germany, 1970 pp394-419
+
 \bibitem[BJ70]{BJ70}
 Fred W. Blair, Richard D. Jenks
 ``LPL: LISP programming language'' IBM Research Report, RC3062 Sept 1970
+
 \bibitem[BC85]{BC85}
 Bruno Buchberger and Bob F. Caviness, editors EUROCAL '85: European
 Conference on Computer Algebra, Linz, Austria, April 1-3, 1985;
@@ -352,216 +368,285 @@ proceedings, volume 204 of Lecture Notes in Computer Science. Springer-Verlag,
 Berlin, Germany / Heidelberg, Germany / London, UK / etc., 1985,
 ISBN 0-387-15983-5 (vol. 1), 0-387-15984-3 (vol. 2) LLCN QA155.7.E4 E86 1985
 Two volumes
+
 \bibitem[BGDW95]{BGDW95}
 P. A. Broadbery, T. G{\'o}mez-D{\'\i}az, and S. M. Watt
 ``On the implementation of dynamic evaluation'' In Levelt [Lev95]
 pages 77-84 ISBN 0-89791-699-9 LCCN QA76.95 I59 1995
 ACM order number 505950\\
 \verb|www.acm.org/pubs/citations/proceedings/issac/220346/p77-broadbery|
+
 \bibitem[Boe89]{Boe89}
 Hans-J. Boehm. ``Type inference in the presence of type abstraction'' 
 ACM SIGPLAN Notices, 24(7) pp192-206 July 1989 CODEN SINODQ ISSN 0362-1340\\
 \verb|www.acm.org/pubs/citations/proceedings/pldi/73141/p192-boehm|
+
 \bibitem[Bou91]{Bou91}
 Jean-Louis Boulanger
 ``Etude de la compilation de scratchpad 2''
 Rapport de DEA Universite dl lille 1, Sept 1991
+
 \bibitem[Bou93a]{Bou93a}
 Jean-Louis Boulanger
 ``Axiom, language fonctionnel \`a d\'eveloppement objet''
 IT 255, Oct 1993
+
 \bibitem[Bou93b]{Bou93b}
 Jean-Louis Boulanger,
 ``AXIOM, A Functional Language with Object Oriented Development''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Bou95]{Bou95}
 J. L. Boulanger ``Object oriented method for Axiom''
 ACM SIGPLAN Notices, 30(2) pp33-41 February 1995 CODEN SINODQ ISSN 0362-1340\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Bro89]{Bro89}
 M. Bronstein. ``Simplificatoin of real elementary functions'' ACM [ACM89]
 pages 207-211 ISBN 0-89791-325-6 LCCN QA76.95.I59 1989
+
 \bibitem[Bro91a]{Bro91a}
 M. Bronstein, ``The Risch differential equation on an algebraic curve''
 in Watt [Wat91], pp241-246 ISBN 0-89791-437-6 LCCN QA76.95.I59 1991
+
 \bibitem[Bro91b]{Bro91b}
 M. Bronstein. ``The Risch differential equation on an
 algebraic curve'' In S.Watt, editor, {\sl Proceedings of ISSAC'91},
 pages 241-246, ACM Press, 1991.
+
 \bibitem[Bro93]{Bro93}
 Manuel Bronstein, editor ISSAC'93: proceedings of the 1993 International
 Symposium on Symbolic and Algebraic Computation, July 6-8, 1993, Kiev, Ukraine,
 ACM Press New York, NY 10036, USA, 1993 ISBN 0-89791-604-2 
 LCCN QA76.95 I59 1993 ACM order number 505930
+
 \bibitem[Bru09]{Bru08}
 Brunelli, J.C. ``Streams and Lazy Evaluation Applied to Integrable Models''\\
 \verb|http://arxiv.org/PS_cache/nlin/pdf/0408/0408058v1.pdf|
+
 \bibitem[BS93]{BS93}
 Manuel Bronstein and Bruno Salvy ``Full partial fraction decomposition of
 rational functions'' In Bronstein [Bro93] pp157-160 ISBN 0-89791-604-2
 LCCN QA76.95 I59 1993\\
 \verb|www.acm.org/pubs/citations/proceedings/issac/164081/p157-bronstein|
+
 \bibitem[BS94]{BS94}
 T. Beneke and W. Schwippert. Double-track into the future: MathCAD will
 gain new users with Standard and Plus versions. Elektronik, 43(15) pp107-110,
 July 1994, CODEN EKRKAR ISSN 0013-5658
+
 \bibitem[Bor00]{Bor00}
 Borwein, Jonathan
 ``Multimedia tools for communicating mathematics''
 Springer-Verlag ISBN 3-540-42450-4 p58
+
 \bibitem[BHR00]{BHR00}
 S. Boulm\'e, T. Hardin, R. Rioboo
 ``Polymorphic Data Types, Objects, Modules and Functors,: is it too much?''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[BHHMR01]{BHHMR01}
 S. Boulm\'e, T. Hardin, D. Hirschkoff, V. M\'enissier-Morain, R. Rioboo
 ``On the way to certify Computer Algebra Systems''
 Calculemus-2001\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[BT94]{BT94}
 R. Brown and A. Tonks ``Calculations with simplicial and cubical groups
 in AXIOM'' Journal of Symbolic Computation 17(2) pp159-179 February 1994
 CODEN JSYCEH ISSN 0747-7171
+
 \bibitem[BD95]{BD95}
 Ronald Brown, Winfried Dreckmann,
 ``Domains of data and domains of terms in AXIOM''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Buh05]{Buh05}
 Buhl, Soren L., 
 ``Some Reflections on Integrating a Computer Algebra System in R''\\
 \verb|www.math.auc.dk/~slb/kurser/software/RCompAlg.pdf|
+
 \bibitem[Bur91]{Bur91}
 W. H. Burge, ``Scratchpad and the Rogers-Ramanujan identities'' In 
 Watt [Wat91], pp189-190 ISBN 0-89791-437-6 LCCN QA76.95.I59 1991
+
 \bibitem[BW87]{BW87}
 W. Burge and S. Watt, ``Infinite structures in SCRATCHPAD II''
 Technical Report RC 12794 (\#57573) IBM Thomas J. Watson Research Center,
 Box 218, Yorktown Heights, NY 10598, USA 1987
+
 \bibitem[BW89]{BW89}
 W. H. Burge and S. M. Watt ``Infinite structures in Scratchpad II''
 in Davenport [Dav89], pp138-148 ISBN 3-540-51517-8 LCCN QA155.7.E4E86 1987
+
+\subsection{C} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Cal94]{Cal94}
 J. Calmet, editor Rhine Workshop on Computer Algebra, Proceedings.
 Universit{\"a}t Karsruhe, Karlsruhe, Germany 1994
+
+\bibitem[CCxx]{CCxx}
+Quentin Carpent, Christophe Conil
+``Utilisation de logiciels libres pour la r\'ealisation de TP MT26'' (2004)\\
+\verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[CC91]{CC91}
 G. Cohen and P. Charpin, editors EUROCODE '90 International Symposium on
 Coding Theory and Applications Proceedings. Springer-Verlag, Berlin, Germany
 / Heidelberg, Germany / London, UK / etc., 1991 ISBN 0-387-54303-1 
 (New York), 3-540-54303-1 (Berlin), LCCN QA268.E95 1990
+
 \bibitem[CCM92]{CCM92}
 Paul Camion, Bernard Courteau, and Andre Montpetit. ``Un probl{\`{e}}me
 combinatoire dans les graphs de Hamming et sa solution en Scratchpad''
 (English: A combinatorial problem in Hamming Graphs and its solution in
 Scratchpad) Rapports de recherche 1586, Institut National de Recherche en
 Informatique et en Automatique, Le Chesnay, France, January 1992, 12pp
+
 \bibitem[CCR]{CCR}
 Caprotti, Olga, Cohen, Arjeh M., and Riem, Manfred
 ``Java Phrasebooks for Computer Algebra and Automated Deduction''\\
 \verb|www.sigsam.org/bulletin/articles/132/paper8.pdf|
+
 \bibitem[CC99]{CC99}
 Capriotti, O. and Carlisle, D.
 ``OpenMath and MathML: Semantic Mark Up for Mathematics''\\
 \verb|www.acm.org/crossroads/xrds6-2/openmath.html|
+
 \bibitem[CCCS]{CCCS}
 Capriotti, Olga, Cohen, Arjeh M., Cuypers, Hans, and Sterk, Hans
 ``OpenMath Technology for Interactive Mathematical Documents''\\
 \verb|www.win.tue.nl/~hansc/lisbon.pdf|
+
 \bibitem[Che86]{Che86}
 G.W. Cherry "Integration in Finite Terms with Special Functions: The Logarithmic Integral"
 SIAM J. Comput. Vol 15 No 1 February 1986
+
 \bibitem[Chu89]{Chu89}
 Chudnovsky, D.V. and Chudnovsky, G.V.
 ``The computation of classical constants''
 Proc. Natl. Acad. Sci. USA Vol 86 pp8178-8182, Nov 1989
+
 \bibitem[CJ86]{CJ86}
 Chudnovsky, David and Jenks, Richard
 ``Computers in Mathematics''
 International Conference on Computers and Mathematics July29-Aug1 1986
 Marcel Dekker, Inc (1990) ISBN 0-8247-8341-7
+
 \bibitem[CCBS]{CCBS}
 Cohen, Arjeh M., Cuypers, Hans, Barreiro, Ernesto Reinaldo, Sterk, Hans
 ``Interactive Mathematical Documents on the Web''
 Springer 9783540002576-c1.pdf
+
 \bibitem[CFMPxxa]{CFMPxxa}
 Marc Conrad, Tim French, Carsten Maple, Sandra Pott
 ``Approaching Inheritance from a Natural Mathematical Perspective and from
 a Java Driven Viewpoint: a Comparative Review''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[CFMPxxb]{CFMPxxb}
 Marc Conrad, Tim French, Carsten Maple, Sandra Pott
 ``Mathematical Use Cases lead naturally to non-standard Inheritance
 Relationships: How to make them accessible in a mainstream language?''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[CHK]{CHK}
 Cuypers, Hans, Hendriks, Maxim, and Knopper, Jan Willem
 ``Interactive Geometry inside MathDox''\\
 \verb|www.win.tue.nl/~hansc/MathDox_and_InterGeo_paper.pdf|
+
+\subsection{D} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Dal92]{Dal92}
 S. Dalmas ``A polymorphic functional language applied to symbolic computation''
 In Wang [Wan92] pp369-375 ISBN 0-89791-489-9 (soft cover) 0-89791-490-2 
 (hard cover) LCCN QA76.95.I59 1992
+
 \bibitem[Dal88]{Dal88}
 Daly, Timothy ``Axiom in an Educational Setting''
 Axiom course slide deck January 1988
+
 \bibitem[Dal02]{Dal02}
 T. Daly ``Axiom as open source'' SIGSAM Bulletin (ACM Special Interest Group
 on Symbolic and Algebraic Manipulation) 36(1) pp28-?? March 2002
 CODEN SIGSBZ ISSN 0163-5824
+
 \bibitem[Dal03]{Dal03}
 Daly, Timothy, ``The Axiom Wiki Website''\\
 \verb|http://axiom.axiom-developer.org|
+
 \bibitem[Dal06]{Dal06}
 Timothy Daly ``Axiom Volume 1: Tutorial'' Lulu, Inc. 860 Aviation Parkway,
 Suite 300, Morrisville, NC 27560 USA, 2006 ISBN 141166597X 287pp\\
 \verb|http://www.lulu.com/content/190827|
+
 \bibitem[Dal09]{Dal09}
 Daly, Timothy, "The Axiom Literate Documentation"\\
 \verb|http://axiom.axiom-developer.org/axiom-website/documentation.html|
+
 \bibitem[Dal13]{Dal13}
 Daly, Timothy
 ``Literate Programming in the Large'' 
 April 8-9, 2013 Portland Oregon\\
 \verb|conf.writethedocs.org|\\
 \verb|daly.axiom-developer.org|
-\bibitem[Dav79]{Dav79}
+
+\bibitem[Dav79a]{Dav79a}
 Davenport, J.H. SPAD.SCRIPT
 VM/370 SPAD.SCRIPTS August 24, 1979
+
+\bibitem[Dav79b]{Dav79b}
+James Harold Davenport
+``On the Integration of Algebraic Functions''
+Springer-Verlag Lecture Notes in Computer Science 102
+ISBN 0-387-10290-6
+
 \bibitem[Dav80]{Dav80}
 Davenport, J.H. and Jenks, R.D.
 ``MODLISP -- an Introduction''
 Proc LISP80, 1980
+
 \bibitem[Dav82]{Dav82}
 Davenport, J.H. ``On the Parallel Risch Algorithm (III): Use of Tangents''
 SIGSAM V16 no. 3 pp3-6 August 1982
+
 \bibitem[Dav85]{Dav85} 
 Davenport, James H.
 ``The LISP/VM Foundation of Scratchpad II''
 The Scratchpad II Newsletter, Volume 1, Number 1, September 1, 1985
 IBM Corporation, Yorktown Heights, NY
+
 \bibitem[Dav89]{Dav89}
 J. H. Davenport, editor EUROCAL '87 European Conference on Computer Algebra
 Proceedings Springer-Verlag, Berlin, Germany / Heidelberg, Germany / London,
 UK / etc., 1989 ISBN 3-540-51517-8 LCCN QA155.7.E4E86 1987
+
 \bibitem[Dav92a]{Dav92a}
 J. H. Davenport ``The AXIOM system'' AXIOM Technical Report TR5/92 (ATR/3)
 (NP2492) Numerical Algorithms Group, Inc., Downer's Grove, IL, USA and
 Oxford, UK, December 1992 \\
 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html|
+
 \bibitem[Dav92b]{Dav92b}
 J. H. Davenport ``How does one program in the AXIOM system?'' AXIOM Technical
 Report TR6/92 (ATR/4)(NP2493) Numerical Algorithms Group, Inc., Downer's
 Grove, IL, USA and Oxford, UK December 1992\\
 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html|\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Dav93]{Dav93}
 J. H. Davenport ``Primality testing revisited'' Technical Report TR2/93
 (ATR/6)(NP2556) Numerical Algorithms Group, Inc., Downer's Grove, IL, USA
 and Oxford, UK, August 1993\\
 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html|
+
 \bibitem[DFxx]{DFxx}
 James Davenport, Christ\'ele Faure
 ``The Unknown in Computer Algebra''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Dav00]{Dav00}
 Davenport, James
 ``13th OpenMath Meeting''
@@ -570,231 +655,295 @@ James H. Davenport
 May 1984\\
 \verb|xml.coverpages.org/openmath13.html|\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Dav10]{Dav10}
 Davenport, J. H. ``Computer Algebra'' \hfill\\
 \verb|staff.bath.ac.uk/masjhd/JHD-CA.pdf|
+
 \bibitem[Dav12]{Dav12}
 Davenport, J.H.
 ``Computer Algebra''\\
 \verb|staff.bath.ac.uk/masjhd/JHD-CA.pdf| Feb, 2012
+
 \bibitem[DSTxx]{DSTxx}
 Davenport, J. H., Siret, and Tournier ``Computer Algebra''  \hfill\\
 \verb|staff.bath.ac.uk/masjhd/masternew.pdf|
+
 \bibitem[DD89]{DD89}
 C. Dicrescenzo and D. Duval ``Algebraic extensions and algebraic closure in
 Scratchpad II'' In Gianni [Gia89], pp440-446 ISBN 3-540-51084-2
 LCCN QA76.95.I57 1998 Conference held jointly with AAECC-6
+
 \bibitem[Dev93]{Dev93}
 Pinch, R.G.E. ``Some Primality Testing Algorithms''
 Devlin, Keith (ed.)
 Computers and Mathematics November 1993, Vol 40, Number 9 pp1203-1210
+
 \bibitem[Dew94]{Dew94}
 Dewar, M. C. ``Manipulating Fortran Code in AXIOM and the AXIOM-NAG Link''
 Proceedings of the Workshop on Symbolic and Numeric Computing, ed by Apiola, H.
 and Laine, M. and Valkeila, E. pp1-12 University of Helsinki, Finland (1994)
+
 \bibitem[Dew]{Dew}
 Dewar, Mike
 ``OpenMath: An Overview''\\
 \verb|www.sigsam.org/bulletin/articles/132/paper1.pdf|
+
 \bibitem[DGJ84]{DGJ84}
 J. Davenport, P. Gianni, R. Jenks, V. Miller, S. Morrison, M. Rothstein, 
 C. Sundaresan, R. Sutor and B. Trager ``Scratchpad'' Mathematical Sciences
 Department, IBM Thomas Watson Research Center 1984
+
 \bibitem[DGT91]{DGT91}
 J. H. Davenport, P. Gianni, and B. M. Trager ``Scratchpad's view of algebra
 II: A categorical view of factorization'' In Watt [Wat91], pp32-38
 ISBN 0-89791-437-6 LCCN QA76.95.I59 also in: AXIOM Technical Report, ATR/2,
 NAG Ltd., Oxford, 1992
+
 \bibitem[DGT92]{DGT92}
 J. H. Davenport, P. Gianni, and B. M. Trager ``Scratchpad's view of algebra
 II: A categorical view of factorization'' Technical Report TR4/92 (ATR/2)
 (NP2491), Numerical Algorithms Group, Inc., Downer's Grove, IL, USA and
 Oxford, UK, December 1992\\
 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html|
+
 \bibitem[DGW]{DGW}
 Dalmas, St\'ephane, Ga\"etano, Marc, and Watt, Stephen
 ``An OpenMath 1.0 Implementation''\\
 \verb|citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.116.4401.pdf|
+
 \bibitem[DJ92]{DJ92}
 D. Duval and F. Jung ``Examples of problem solving using computer algebra''
 IFIP Transactions. A. Computer Science and Technology, A-2 pp133-141, 143 1992
 CODEN ITATEC. ISSN 0926-5473
+
 \bibitem[DLMF]{DLMF}
 \verb|http://dlmf.nist.gov/software/#T1|
+
 \bibitem[Doo99]{Doo99}
 Sam Dooley, editor. ISSAC 99: July 29-31, 1999, Simon Fraser University,
 Vancouver, BC, Canada: proceedings of the 1999 International Symposium on
 Symbolic and Algebraic Computation. ACM Press, New York, NY 10036, USA, 1999.
 ISBN 1-58113-073-2 LCCN QA76.95.I57 1999
+
 \bibitem[Doy97]{Doy97}
 Nicolas James Doye
 ``Order Sorted Computer Algebra and Coercions''
 Ph.D. Thesis University of Bath 1997\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Doy99]{Doy99}
 Nicolas J. Doye. ``Automated coercion for Axiom'' in Dooley [Doo99], pp229-235
 ISBN 1-58113-073-2 LCCN QA76.95.I57 1999 ACM Press\\
 \verb|http://www.acm.org/pubs/contents/proceedings/issac/309831|
+
 \bibitem[DST88]{DST88}
 J. H. Davenport, Y. Siret, and E. Tournier. Computer Algebra: Systems and
 Algorithms for Algebraic Computation. Academic Press, New York, NY, USA, 1988,
 ISBN 0-12-204232-9
+
 \bibitem[DT90]{DT90}
 J. H. Davenport and B. M. Trager ``Scratchpad's view of algebra I: Basic
 commutative algebra'' In Miola [Mio90], pp40-54. ISBN 0-387-52531-9 (New York),
 3-540-52531-9 (Berlin). LCCN QA76.9.S88I576 1990 also in AXIOM Technical
 Report, ATR/1, NAG Ltd., Oxford, 1992
+
 \bibitem[DT92]{DT92}
 J. H. Davenport and B. M. Trager ``Scratchpad's view of algebra I: Basic
-commutative algebra'' Technical Report TR3/92 (ATR/1)(NP2490), Numerical
+commutative algebra'' DISCO 90 Capri, Italy April 1990 ISBN 0-387-52531-9
+pp40-54\\
+Technical Report TR3/92 (ATR/1)(NP2490), Numerical
 Algorithms Group, Inc., Downer's Grove, IL, USA and Oxford, UK, 
 December 1992. \\
 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html|
+
 \bibitem[DRxx]{DRxx}
 C\'esar Dom\'inguez and Julio Rubio
 ``Modeling Inheritance as Coercion in a Symbolic Computation System''
 ISSAC 2001 ACM  1-58113-417-7/01/0007\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Dun98]{Dun98}
 Dunstan, Martin, Kelsey, Tom, Linton, Steve, Martin, Ursula
 ``Lightweight Formal Methods For Computer Algebra Systems''\\
 \verb|www.cs.st-andrews.ac.uk/~tom/pub/issac98.pdf|\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Dun97]{Dun97}
 Dunstand, U, Linton
 ``Embedded Verification Techniques for Computer Algebra Systems''
 Grant citation GR/L48256 Nov 1, 1997-Feb 28, 2001\\
 \verb|www.cs.st-andrews.ac.uk/research/output/detail?output=ML97.php|
+
 \bibitem[Dun99]{Dun99}
 ``Formal Methods for Extensions to CAS''
 Dunstan, Martin, Kelsey, Tom, Martin, Ursula, and Linton, Steve, 
 FM 99, Toulouse, France, Sept 20-24, 1999, p1758-1777
+
 \bibitem[Dun99a]{Dun99a}
 Dunstan, MN
 ``Larch/Aldor - A Larch BISL for AXIOM and Aldor''
 PhD Thesis, 1999\\
 \verb|www.cs.st-andrews.uk/files/publications/Dun99.php|\\
 \verb|axiom-portal.newsynthesis.org/refs/articles/mnd-sep99-thesis.pdf|
+
 \bibitem[Dunxx]{Dunxx}
 Martin N. Dunstan
 ``Adding Larch/Aldor Specifications to Aldor''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[DGKM01]{DGKM01}
 Dunstan, Martin, Gottliebsen, Hanne, Kelsey, Tom and Martin, Ursula
 ``Computer Algebra meets Automated Theorem Proving: A Maple-PVS Interface''
 TPHOLS 2001, Edinburgh\\
 \verb|www.cs-st-andrews.ac.uk/~tom/pub/tphols.ps|
+
 \bibitem[DGKM01a]{DGKM01a}
 Dunstan, Martin, Gottliebsen, Hanne, Kelsey, Tom and Martin, Ursula
 ``Computer Algebra meets Automated Theorem Proving: A Maple-PVS Interface''
 Calculemus 2001, Siena\\
 \verb|www.cs-st-andrews.ac.uk/~tom/pub/dunstanetal.ps|
+
 \bibitem[Du95]{Du95}
 Duval, D. ``Evaluation dynamique et cl\^oture alg\'ebrique en Axiom''. 
 Journal of Pure and Applied Algebra, no99, 1995, pp. 267--295.
+
+\subsection{E} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[ES10]{ES10}
 Burcin Er\"ocal and William Stein ``The Sage Project''\\
 \verb|wstein.org/papers/icms/icms_2010.pdf|
+
+\subsection{F} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Fat90]{Fat90}
 R. J. Fateman ``Advances and trends in the design and construction of 
 algebraic manipulation systems'' In Watanabe and Nagata [WN90], pp60-67
 ISBN 0-89791-401-5 LCCN QA76.95.I57 1990
+
 \bibitem[Fat05]{Fat05}
 Fateman, R. J. ``An incremental approach to building a mathematical \hfill\\
 expert out of software'' 4/19/2005\hfill\\
 \verb|www.cs.berkeley.edu/~fateman/papers/axiom.pdf|
+
 \bibitem[FDN00a]{FDN00a}
 Faure, Christ\'ele, Davenport, James
 ``Parameters in Computer Algebra''
+
 \bibitem[FDN00b]{FDN00b}
 Faure, Christ\'ele, Davenport, James, Naciri, Hanane
 ``Multi-values Computer Algebra''
 ISSN 0249-6399 Institut National De Recherche en Informatique et en
 Automatique Sept. 2000 No. 4001
+
 \bibitem[Fit84]{Fit84}
 J. P. Fitch, editor, EUROSAM '84: International Symposium on Symbolic and
 Algebraic Computation, Cambridge, England, July 9-11, 1984, volume 174 of
 Lecture Notes in Computer Science. Springer-Verlag, Berlin, Germany /
 Heildelberg, Germany / London, UK / etc., 1984 ISBN 0-387-13350-X
 LCCN QA155.7.E4 I57 1984
+
 \bibitem[Fit93]{Fit93}
 J. Fitch, editor. Design and Implementation of Symbolic Computation Systems
 International Symposium DISCO '92 Proceedings. Springer-Verlag, Berlin, 
 Germany / Heildelberg, Germany / London, UK / etc., 1993. ISBN 0-387-57272-4
 (New York), 3-540-57272-4 (Berlin). LCCN QA76.9.S88I576 1992
+
 \bibitem[Fog11]{Fog11}
 Fogus, Michael ``UnConj''\\
 \verb|clojure.com/blog/2011/11/22/unconj.html|
+
 \bibitem[For90]{For90}
 A. Fortenbacher. ``Efficient type inference and coercion in computer algebra''
 In Miola [Mio90], pp56-60. ISBN 0-387-52531-9 (New York), 3-540-52531-9
 (Berlin). LCCN QA76.9.S88I576 1990
+
 \bibitem[Fou90]{Fou90}
 Francois Fouche. ``Une implantation de l'algorithme de Kovacic en Scratchpad''
 Technical report, Institut de Recherche Math{\'{e}}matique Avanc{\'{e}}e''
 Strasbourg, France, 1990 31pp
+
 \bibitem[Fris]{Fris}
 Frisco ``Objectives and Results''\\
 \verb|http://www.nag.co.uk/projects/frisco/frisco/node3.htm|
+
+\subsection{G} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[GCL92]{GCL92}
 Geddes, Keith O., Czapor, Stephen R., and Labahn, George
 ``Algorithms For Computer Algebra'' Kluwer Academic Publishers
 ISBN 0-7923-9259-0 (Sept 1992)
+
 \bibitem[GBL91]{GBL91}
 B. M. Goodwin, R. A. Buonopane, and A. Lee. ``Using MathCAD in teaching
 material and energy balance concepts''. In Anonymous [Ano91], pp345-349
 (vol. 1) 2 vols.
+
 \bibitem[GH84]{GH84}
 V. Ellen Golden and M. A. Hussain, editors. Proceedings of the 1984 MACSYMA
 Users' Conference: Schenectady, New York, July 23-25, 1984, General Electric,
 Schenectady, NY, USA, 1984
+
 \bibitem[GKM05]{GKM05}
 Gottliebsen, Hanne, Kelsey, Tom and Martin, Ursula
 ``Hidden verification for computational mathematics''
 Journal of Symbolic Computation, Vol39, Num 5, 2005
+
 \bibitem[BHGM04]{BHGM04}
 Boulton, Richard, Hardy, Ruth, Gottliebsen, Hanne, and Martin, Ursula
 ``Design verification for control engineering''
 Proc Fourth International Conference on Integrated Formal Methods,
 April 2004
+
 \bibitem[GHK91]{GHK91}
 J. Grabmeier, K. Huber, and U. Krieger. ``Das ComputeralgebraSystem AXIOM
 bei kryptologischen und verkehrstheoretischen Untersuchungen des
 Forschunginstituts der Deutschen Bundespost TELEKOM'' Technischer Report
 TR 75.91.20, IBM Wissenschaftliches Zentrum, Heidelberg, Germany, 1991
+
 \bibitem[Gia89]{Gia89}
 P. (Patrizia) Gianni, editor. Symbolic and Algebraic Computation. 
 International Symposium ISSAC '88, Rome, Italy, July 4-8, 1988. Proceedings,
 volume 358 of Lecture Notes in Computer Science. Springer-Verlag, Berlin, 
 Germany / Heildelberg, Germany / London, UK / etc., 1989. ISBN 3-540-51084-2
 LCCN QA76.95.I57 1988 Conference held jointly with AAECC-6
+
 \bibitem[Gil92]{Gil92}
 I. Gil. ``Computation of the Jordan canonical form of a square matrix (using
 the Axiom programming language). In Wang [Wan92], pp138-145. 
 ISBN 0-89791-489-9 (soft cover), 0-89791-490-2 (hard cover)
 LCCN QA76.95.I59 1992
+
 \bibitem[Gon96]{Gon96}
 Gonnet, Gaston H.
 ``Official verion 1.0 of the Meta Content Dictionary''\\
 \verb|www.inf.ethz.ch/personal/gonnet/ContDict/Meta|
+
 \bibitem[GJ71]{GJ71}
 J. H. Griesmer and R. D. Jenks ``SCRATCHPAD/1 -- an interactive facility for
 symbolic mathematics'' In Petrick [Pet71], pp42-58. LCCN QA76.5.S94 1971\\
 \verb|http://delivery.acm.org/10.1145/810000/806266/p42-griesmer.pdf|\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[GJ72a]{GJ72a}
 J. Griesmer and R. Jenks. ``Experience with an online symbolic math system
 SCRATCHPAD''. in Online'72 [Onl72] ISBN 0-903796-02-3 LCCN QA76.55.O54 1972
 Two volumes
+
 \bibitem[GJ72b]{GJ72b}
 James H. Griesmer and Richard D. Jenks. ``SCRATCHPAD: A capsule view''
 ACM SIGPLAN Notices, 7(10) pp93-102, 1972. Proceedings of the symposium
 on Two-dimensional man-machine communications. Mark B. Wells and 
 James B. Morris (eds.).
+
 \bibitem[GJY75]{GJY75}
 Griesmer, J.H., Jenks, R.D., Yun, D.Y.Y 
 ``SCRATCHPAD User's Manual''
 IBM Research Publication RA70 June 1975
+
 \bibitem[GKW03]{GKW03}
 Johannes Grabmeier, Erich Kaltofen, and Volker Weispfenning, editors.
 Computer algebra handbook: foundations, applications, systems.
@@ -802,154 +951,198 @@ Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc.,
 2003. ISBN 3-540-65466-6 637pp Includes CDROM\\
 \verb|http://www.springer.com/sgw/cda/frontpage/|\\
 \verb|0,11855,1-102-22-1477871-0,00.html|
+
 \bibitem[GL93]{GL93}
 A. Goodloe and P. Loustaunau. ``An abstract data type development of graded
 rings'' In Fitch [Fit93], pp193-202. ISBN 0-387-57272-4 (New York),
 3-540-57272-4 (Berlin). LCCN QA76.9.S88I576 1992
+
 \bibitem[GM86]{GM86}
 R{\"u}diger Gebauer and H. Michael M{\"o}ller ``Buchberger's algorithm and
 staggered linear bases'' In Bruce W. Char, editor. Proceedings of the 1986
 Symposium on Symbolic and Algebraic Computation: SYMSAC '86, July 21-23, 1986
 Waterloo, Ontario, pp218-221 ACM Press, New York, NY 10036, USA, 1986.
 ISBN 0-89791-199-7 LCCN QA155.7.E4 A281 1986 ACM order number 505860
+
 \bibitem[GM88]{GM88}
 R. Gebauer and H. M. M{\"o}ller ``On an installation of Buchberger's
 algorithm'' Journal of Symbolic Computation, 6(2-3) pp275-286 1988
 CODEN JSYCEH ISSN 0747-7171
+
 \bibitem[GM89]{GM89}
 P. Gianni and T. Mora ``Algebraic solution of systems of polynomial equations
 using Gr{\"o}bner bases. In Huguet and Poli [HP89], pp247-257
 ISBN 3-540-51082-6 LCCN QA268.A35 1987
+
 \bibitem[Gra98]{Gra98}
 Hans-Gert Gr\"abe
 ``About the Polynomial System Solve Facility of Axiom, Macyma, Maple
 Mathematica, MuPAD, and Reduce''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[GS92]{GS92}
 J. Grabmeier and A. Scheerhorn ``Finite fields in Axiom'' AXIOM Technical
 Report TR7/92 (ATR/5)(NP2522), Numerical Algorithms Group, Inc., Downer's
 Grove, IL, USA and Oxford, UK, 1992\\
 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html|
+
 \bibitem[GM94]{GM94}
 D. Gruntz and M. Monagan ``Introduction to Gauss'' SIGSAM Bulletin (ACM
 Special Interest Group on Symbolic and Algebraic Manipulation), 28(3) pp3-19
 August 1994 CODEN SIGSBZ ISSN 0163-5824
+
 \bibitem[Gru96]{Gru96}
 Dominik Gruntz
 ``On Computing Limits in a Symbolic Manipulation System''
 Thesis, Swiss Federal Institute of Technology Z\"urich 1996
 Diss. ETH No. 11432\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
+\subsection{H} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Hec01]{Hec01}
 Heck, A. ``Variables in computer algebra, mathematics and science''
 The International Journal of Computer Algebra in Mathematics Education
 Vol. 8 No. 3 pp195-210 (2001)
+
 \bibitem[HP89]{HP89}
 L. Huguet and A. Poli, editors. Applied Algebra, Algebraic Algorithms and
 Error-Correcting Codes. 5th International Conference AAECC-5 Proceedings.
 Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., 
 1989. ISBN 3-540-51082-6. LCCN QA268.A35 1987
+
+\subsection{J} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Jan88]{Jan88}
 R. Jan{\ss}en, editor. Trends in Computer Algebra, International Symposium
 Bad Neuenahr, May 19-21, 1987, Proceedings, volume 296 of Lecture Notes in
 Computer Science. 
 Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., 
 1988 ISBN 3-540-18928-9, 0-387-18928-9 LCCN QA155.7.E4T74 1988
+
 \bibitem[Jen69]{Jen69}
 R. D. Jenks ``META/LISP: An interactive translator writing system'',
 Research Report International Business Machines, Inc., Thomas J.
 Watson Research Center, Yorktown Heights, NY, USA, 1969 RC2968 July 1970
+
 \bibitem[Jen79]{Jen79}
 Jenks, R. D.
 ``MODLISP''
 Proc EUROSAM 79, pp466-480, 1979
+
 \bibitem[Jen71]{Jen71}
 R. D. Jenks ``META/PLUS: The syntax extension facility for SCRATCHPAD'',
 Research Report RC 3259, International Business Machines, Inc., Thomas J.
 Watson Research Center, Yorktown Heights, NY, USA, 1971
+
 \bibitem[Jen74]{Jen74}
 R. D. Jenks ``The SCRATCHPAD language'' ACM SIGPLAN Notices, 9(4) pp101-111
 1974 CODEN SINODQ. ISSN 0362-1340
+
 \bibitem[Jen76]{Jen76}
 Richard D. Jenks. ``A pattern compiler'' In Richard D. Jenks, editor,
 SYMSAC '76: proceedings of the 1976 ACM Symposium on Symbolic and Algebraic
 Computation, August 10-12, 1976, Yorktown Heights, New York, pp60-65,
 ACM Press, New York, NY 10036, USA, 1976. LCCN QA155.7.EA .A15 1976
 QA9.58.A11 1976
+
 \bibitem[Jen84a]{Jen84a}
 Richard D. Jenks. ``The new SCRATCHPAD language and system for computer
 algebra'' In Golden and Hussain [GH84], pp409-??
+
 \bibitem[Jen84b]{Jen84b}
 Richard D. Jenks ``A primer: 11 keys to New Scratchpad'' In Fitch [Fit84],
 pp123-147. ISBN 0-387-13350-X LCCN QA155.7.E4 I57 1984
+
 \bibitem[Jen88a]{Jen88a}
 Jenks, R. D.
 ``A Guide to Programming in BOOT''
 Computer Algebra Group, Mathematical Sciences Department, IBM Research
 Draft September 5, 1988
+
 \bibitem[Jen88b]{Jen88b}
 Jenks, Richard ``The Scratchpad II Computer Algebra System Interactive
 Environment Users Guide'' Spring 1988
+
 \bibitem[JT81]{JT81}
 Jenks, R.D. and Trager, B.M. ``A Language for Computational Algebra''
 Proceedings of SYMSAC81, Symposium on Symbolic and Algebraic Manipulation,
 Snowbird, Utah August, 1981
+
 \bibitem[JT81a]{JT81a}
 Jenks, R.D. and Trager, B.M. ``A Language for Computational Algebra''
 SIGPLAN Notices, New York: Association for Computing Machiner, Nov 1981
+
 \bibitem[JT81b]{JT81b}
 Jenks, R.D. and Trager, B.M. ``A Language for Computational Algebra''
 IBM Research Report RC8930 IBM Yorktown Heights, NY
+
 \bibitem[JOS93]{JOS93}
 G. Jacob, N. E. Oussous, and S. Steinberg, editors. Proceedings SC 93
 International IMACS Symposium on Symbolic Computation. New Trends and
 Developments. LIFL Univ. Lille, Lille France, 1993
+
 \bibitem[Jo06]{J006}
 Joyner, David "OSCAS - Maxima" SIGSAM Communications in Computer Algebra, 157
 2006\\
 \verb|sage.math.washington.edu/home/wdj/sigsam/oscas-cca1.pdf|
+
 \bibitem[JS92]{JS92}
 Richard D. Jenks and Robert S. Sutor ``AXIOM: The Scientific Computation
 System'' 
 Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., 
 1992 ISBN 0-387-97855-0 (New York), 3-540-97855-0 (Berlin) 742pp
 LCCN QA76.95.J46 1992
+
 \bibitem[JWS86]{JWS86}
 Richard D. Jenks, Robert S. Sutor, and Stephen M. Watt ``Scratchpad II:
 an abstract datatype system for mathematical computation'' Research Report
 RC 12327 (\#55257), Iinternational Business Machines, Inc., Thomas J. Watson
 Research Center, Yorktown Heights, NY, USA, 1986 23pp
+
 \bibitem[JWS87]{JWS87}
 Richard D. Jenks, Robert S. Sutor, and Stephen M. Watt ``Scratchpad II:
 an Abstract Datatype System for Mathematical Computation'' 
 Proceedings Trends in Computer Algebra, Bad Neuenahr, LNCS 296,
 Springer Verlag, (1987)
+
 \bibitem[JSW88]{JSW88}
 R. D. Jenks, R. S. Sutor, and S. M. Watt ``Scratchpad II: An abstract
 datatype system for mathematical computation'' In Jan{\ss}en [Jan88],
 pp12-?? ISBN 3-540-18928-9, 0-387-18928-9 LCCN QA155.7.E4T74 1988
+
 \bibitem[JWS88]{JWS88}
 R. D. Jenks, R. S. Sutor, and S. M. Watt ``Scratchpad II:
 an abstract datatype system for mathematical computation'' In Jan{\ss}en
 [Jan88], pp12-37. ISBN 3-540-18928-9, 0-387-18928-9 LCCN QA155.7.E4T74 1988
+
 \bibitem[JT94]{JT94}
 R. D. Jenks and B. M. Trager. ``How to make AXIOM into a Scratchpad'' In ACM
 [ACM94], pp32-40 ISBN 0-89791-638-7 LCCN QA76.95.I59 1994\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[JT03]{JT03}
 Joswig, Michael and Takayama, Nobuki
 ``Algebra, geometry, and software systems''
 Springer-Verlag ISBN 3-540-00256-1 p291
+
+\subsection{K} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Kel00a]{Kel00a}
 Kelsey, Tom
 ``Formal specification of computer algebra''
 University of St Andrews, 6th April 2000\\
 \verb|www.cs.st-andrews.cs.uk/~tom/pub/fscbs.ps|
+
 \bibitem[Kel00b]{Kel00b}
 Kelsey, Tom
 ``Formal specification of computer algebra'' (slides)
 University of St Andrews, Sept 21, 2000\\
 \verb|www.cs.st-andrews.cs.uk/~tom/pub/fscbstalk.ps|
+
 \bibitem[Kel99]{Kel99}
 Kelsey, Tom
 ``Formal Methods and Computer Algebra: A Larch Specification of AXIOM 
@@ -958,113 +1151,144 @@ Ph.D. Thesis, University of St Andrews, 1999\\
 \verb|www.cs.st-andrews.ac.uk/research/publications/Kel00.php|\\
 \verb|www.cs.st-andrews.ac.uk/research/output/detail?output=Kel00.php|\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Ken99a]{Ken99a}
 Kendall, W.S.
 ``Itovsn3 in AXIOM: modules, algebras and stochastic differentials''\\
 \verb|www2.warwick.ac.uk/fac/sci/statistics/staff/academic-research/|\\
 \verb|kendall/personal/ppt/328.ps.gz|
+
 \bibitem[Ken99b]{Ken99b}
 Kendall, W.S.
 ``Symbolic It\^o calculus in AXIOM: an ongoing story\\
 \verb|www2.warwick.ac.uk/fac/sci/statistics/staff/academic-research/|\\
 \verb|kendall/personal/ppt/327.ps.gz|
+
 \bibitem[KKM89]{KKM89}
 K. Kusche, B. Kutzler, and H. Mayr ``Implementation of a geometry theorem
 proving package in SCRATCHPAD II'' In Davenport [Dav89] pp246-257
 ISBN 3-540-51517-8 LCCN QA155.7.E4E86 1987
+
 \bibitem[KN94]{KN94}
 G. Keady and G. Nolan ``Production of Argument SubPrograms in the AXIOM -- NAG
 link: examples involving nonleanr systems'' Technical Report TR1/94 
 ATR/7 (NP2680), Numerical Algorithms Group, Inc., Downer's Grove, IL, USA and
 Oxford, UK, 1994\\
 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html|
+
 \bibitem[Kos91]{Kos91}
 P.-V. Koseleff ``Word games in free Lie algebras: several bases and formulas''
 Theoretical Computer Science 79(1) pp241-256 Feb. 1991 CODEN TCSCDI
 ISSN 0304-3975
+
+\subsection{L} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Lah08]{Lah08}
 Lahey, Tim "Sage Integration Testing"\\
 \verb|http://github.com/tjl/sage_int_testing| Dec. 2008
+
 \bibitem[Lam91]{Lam91}
 L. A. Lambe ``Resolutions via homological perturbation'' Journal of Symbolic
 Computation 12(1) pp71-87 July 1991 CODEN JSYCEH ISSN 0747-7171
+
 \bibitem[Lam92]{Lam92}
 Larry Lambe
 ``Next Generation Computer Algebra Systems AXIOM and the Scratchpad
 Concept: Applications to Research in Algebra''
 $21^{st}$ Nordic Congress of Mathematicians 1992\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Lam93]{Lam93}
 Larry Lambe
 ``On Using Axiom to Generate Code'' (preprint) 1993\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[LL93]{LL93}
 Larry Lambe and Richard Luczak
 ``Object-Oriented Mathematical Programming and Symbolic/Numeric Interface''
 $3^{rd}$ International Conf. on Expert Systems in Numerical Computing 1993\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[LeB91]{LeB91}
 S.E.LeBlanc. ``The use of MathCAD and Theorist in the ChE classroom'' In
 Anonymous [Ano91], pp287-299 (vol. 1) 2 vols.
+
 \bibitem[Leb08]{Leb08}
 Lebedev, Yuri
 ``OpenMath Library for Computing on Riemann Surfaces''
 PhD thesis, Nov 2008 Florida State University\\
 \verb|www.math.fsu.edu/~ylebedev/research/HyperbolicGeometry.html|
+
 \bibitem[Le96]{Le96}
 Lecerf, Gr\'egoire 
 ``Dynamic Evaluation and Real Closure Implementation in Axiom''
 June 29, 1996 \\
 \verb|www.math.uvsq.fr/~lecerf/software/drc/drc.ps|
+
 \bibitem[Leexx]{Leexx}
 Andr\'e M.A. van Leeuwen
 ``Representation of mathematical object in interactive books''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Lev95]{Lev95}
 A. H. M. Levelt, editor ISSAC '95: Proceedings of the 1995 International
 Symposium on Symbolic and Algebraic Computation: July 10-12, 1995, Montreal,
 Canada ISSAC-PROCEEDINGS-1995. ACM Press, New York, NY 10036, USA, 1995
 ISBN 0-89791-699-9 LCCN QA76.95 I59 1995 ACM order number 505950
+
 \bibitem[Lin93]{Lin93}
 Linton, Steve
 ``Vector Enumeration Programs, version 3.04''\\
 \verb|www.cs.st-andrews.ac.uk/~sal/nme/nme_toc.html#SEC1|
+
 \bibitem[LD97]{LD97}
 Richard Liska, Ladislav Drska, Jiri Limpouch, Milan Sinor, Michael Wester,
 Franz Winkler "Computer Algebra - algorithms, systems and applications''
 June 2, 1997 \\
 \verb|kfe.fjfi.cvut.cz/~liska/ca/all.html|
+
 \bibitem[LM91]{LM91}
 R. Lynch and H. A. Mavromatis ``New quantum mechanical perturbation technique
 using an 'electronic scratchpad' on an inexpensive computer'' American
 Journal of Pyhsics, 59(3) pp270-273, March 1991. CODEN AJPIAS ISSN 0002-9505
+
 \bibitem[LM06]{LM06}
 Li, Xin, and Maza, Moreno ``Efficient Implementation of Polynomial 
 Arithmetic in a Multiple-Level Programming Environment'' Lecture Notes in
 Computer Science Springer Vol 4151/2006 ISBN 978-3-540-38084-9 pp12-23 
 Proceedings of International Congress of Mathematical Software ICMS 2006\\
 \verb|www.csd.uwo.ca/~moreno//Publications/Li-MorenoMaza-ICMS-06.pdf|
+
 \bibitem[Luc86]{Luc86}
 Michael Lucks ``A fast implementation of polynomial factorization'' In
 Bruce W. Char, editor, Proceedings of the 1986 Symposium on Symbolic
 and Algebraic Computation: SYMSAC '86, July 21-23, 1986, Waterloo, Ontario,
 pp228-232 ACM Press, New York, NY 10036, USA, 1986. ISBN 0-89791-199-7
 LCCN QA155.7.E4 A281 1986 ACM order number 505860
+
 \bibitem[Lue77]{Lue77}
 E. Lueken ``Ueberlegungen zur Implementierung eines Formelmanipulationssystems
 Master's thesis, Technischen Universit{\"{a}}t Carolo-Wilhelmina zu
 Braunschweig. Braunschweig, Germany, 1977
+
+\subsection{M} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Mah05]{Mah05}
 Mahboubi, Assia, ``Programming and certifying the CAD algorithm inside the
 coq system'' Mathematics, Algorithms, Proofs, volume 05021 of Dagstuhl
 Seminar Proceedings, Schloss Dagstuhl (2005)
+
 \bibitem[Mat89]{Mat89}
 J. Mathews ``Symbolic computational algebra applied to Picard iteration''
 Mathematics and computer education, 23(2) pp117-122 Spring 1989 CODEN MCEDDA,
 ISSN 0730-8639
+
 \bibitem[McJ11]{McJ11}
 McJones, Paul ``Software Presentation Group -- Common Lisp family''\\
 \verb|www.softwarepreservation.org/projects/LISP/common_lisp_family|
+
 \bibitem[Mio90]{Mio90}
 A. Miola, editor. Design and Implementation of Symbolic Computation Systems, 
 International Symposium DISCO '90, Capri, Italy, April 10-12, 1990, Proceedings
@@ -1072,16 +1296,19 @@ volume 429 of Lecture Notes in Cmputer Science,
 Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., 
 1990 ISBN 0-387-52531-9 (New York), 3-540-52531-9 (Berlin) LCCN QA76.9.S88I576
 1990
+
 \bibitem[Mio93]{Mio93}
 A. Miola, editor. Design and Implementation of Symbolic Computation Systems, 
 International Symposium DISCO '93 Gmunden, Austria, September 15-17, 1993:
 Proceedings. 
 Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., 
 1993 ISBN 3-540-57235-X LCCN QA76.9.S88I576 1993
+
 \bibitem[Mon93]{Mon93}
 M. B. Monagan ``Gauss: a parameterized domain of computation system with
 support for signature functions''. In Miola [Mio93], pp81-94 
 ISBN 3-540-57235-X LCCN QA76.9.S88I576 1993
+
 \bibitem[Mor89]{Mor89}
 T. Mora, editor Applied Algebra, Algebraic Algorithms and Error-Correcting
 Codes, 6th International Conference, AAECC-6, Rome, Italy, July 4-8, 1998,
@@ -1089,164 +1316,214 @@ Proceedings, volume 357 of Lecture Notes in Computer Science
 Springer-Verlag, Berlin, Germany / Heildelberg, Germany / London, UK / etc., 
 1989 ISBN 3-540-51083-4, LCCN QA268.A35 1988 Conference held jointly with
 ISSAC '88
+
 \bibitem[Mos71]{Mos71}
 Moses, Joel ``Algebraic Simplification: A Guide for the Perplexed''
 CACM August 1971 Vol 14 No. 8 pp527-537
+
 \bibitem[MR90]{MR90}
 E. Melachrinoudis and D. L. Rumpf ``Teaching advantages of transparent computer
 software -- MathCAD'' CoED, 10(1) pp71-76, January-March 1990 CODEN CWLJDP
 ISSN 0736-8607
+
+\subsection{N} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[NPxx]{NPxx}
 William Naylor, Julian Padget
 ``From Untyped to Polymorphically Typed Objects in Mathematical Web 
 Services''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Nor75]{Nor75}
 A. C. Norman ``Computing with formal power series'' ACM Transactions on
 Mathematical Software, 1(4) pp346-356 Dec. 1975 CODEN ACMSCU ISSN 0098-3500
+
 \bibitem[Nor75a]{Nor75a}
 Norman, A.C. ``The SCRATCHPAD Power Series Package''
 IBM T.J. Watson Research RC4998
+
 \bibitem[OpenMa]{OpenMa}
 ``OpenMath Technical Overview''\\
 \verb|www.openmath.org/overview/technical.html|
+
+\subsection{O} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Oll89]{Oll89}
 F. Ollivier ``Inversibility of rational mappings and structural 
 identifiablility in automatics'' In ACM [ACM89], pp43-54 ISBN 0-89791-325-6
 LCCN QA76.95.I59 1989
+
 \bibitem[Onl72]{Onl72}
 Online 72: conference proceedings ... international conference on online
 interactive computing, Brunel University, Uxbridge, England, 4-7 September
 1972 ISBN 0-903796-02-3 LCCN QA76.55.O54 1972 Two volumes.
+
+\subsection{P} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Pa07]{Pa07}
 Page, William S. ``Axiom - Open Source Computer Algebra System'' Poster
 ISSAC 2007 Proceedings Vol 41 No 3 Sept 2007 p114
+
 \bibitem[Pet71]{Pet71}
 S. R. Petric, editor. Proceedings of the second symposium on Symbolic and
 Algebraic Manipulation, March 23-25, 1971, Los Angeles, California, ACM Press,
 New York, NY 10036, USA, 1971. LCCN QA76.5.S94 1971
+
 \bibitem[Pet90]{Pet90}
 Michel Petitot
 ``Types r\'ecursifs en scratchpad, application aux polyn\^omes non
 commutatifs''
 LIFL, 1990
+
 \bibitem[Pet93]{Pet93}
 M. Petitot ``Experience with Axiom'' In Jacob et al. [JOS93], page 240
+
 \bibitem[PT99]{PT99}
 Erik Poll, Simon Thompson
 ``The Type System of Aldor''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[PT00]{PT00}
 Erik Poll, Simon Thompson
 ``Integrating Computer Algebra and Reasoning through the Type System
 of Aldor''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[PTxx]{PTxx}
 Erik Poll, Simon Thompson
 ``Adding the axioms to Axiom. Toward a system of automated reasoning in
 Aldor''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Polxx]{Polxx}
 Erik Poll
 ``The type system of Axiom''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Pur86]{Pur86}
 J. Purtilo ``Applications of a software interconnection system in mathematical
 problem solving environments'' In Bruce W. Char, editor. Proceedings of the
 1986 Symposium on Symbolic and Algebraic Computation: SYMSAC '86, July 21-23,
 ACM Press, New York, NY 10036, USA, 1986. ISBN 0-89791-199-7 LCCN QA155.7.E4
 A281 1986 ACM order number 505860
-\bibitem[CCxx]{CCxx}
-Quentin Carpent, Christophe Conil
-``Utilisation de logiciels libres pour la r\'ealisation de TP MT26'' (2004)\\
-\verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
+\subsection{R} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Rob93]{Rob93}
 Nicolas Robidoux 
 ``Does Axiom Solve Systems of O.D.E's Like Mathematica?''
 July 1993\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Rio92]{Rio92}
 R. Rioboo ``Real algebraic closure of an ordered field, implementation in 
 Axiom'' In Wang [Wan92], pp206-215 ISBN 0-89791-489-9 (soft cover)
 0-89791-490-2 (hard cover) LCCN QA76.95.I59 1992\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Roe95]{Roe95}
 K. G. Roesner ``Verified solutions for parameters of an exact solution for
 non-Newtonian liquids using computer algebra'' Zeitschrift fur Angewandte
 Mathematik und Physik, 75 (suppl. 2):S435-S438, 1995 ISSN 0044-2267
+
+\subsection{S} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Sal89]{Sal89}
 B. Salvy ``Examples of automatic asymptotic expansions'' Technical Report 114,
 Inst. Nat. Recherche Inf. Autom., Le Chesnay, France, Dec. 1989 18pp
+
 \bibitem[Sal91]{Sal91}
 B. Salvy ``Examples of automatic asymptotic expansions'' SIGSAM Bulletin (ACM
 Special Interest Group on Symbolic and Algebraic Manipulation), 25(2) pp4-17
 April 1991 CODEN SIGSBZ ISSN 0163-5824
+
 \bibitem[Sch88]{Sch88}
 F. Schwarz ``Programming with abstract data types: the symmetry package SPDE
 in Scratchpad'' In Jan{\ss}en [Jan88], pp167-176, ISBN 3-540-18928-9,
 0-387-18928-9 LCCN QA155.7.E4T74 1988
+
 \bibitem[Sch89]{Sch89}
 F. Schwarz ``A factorization algorithm for linear ordinary differential
 equations'' In ACM [ACM89], pp17-25 ISBN 0-89791-325-6 LCCN QA76.95.I59 1989
+
 \bibitem[Sch91]{Sch91}
 F. Schwarz ``Monomial orderings and Gr{\"o}bner bases'' SIGSAM Bulletin (ACM
 Special Interest Group on Symbolic and Algebraic Manipulation) 2591) pp10-23
 Jan. 1991 CODEN SIGSBZ ISSN 0163-5824
+
 \bibitem[SDJ07]{SDJ-7}
 Smith, Jacob; Dos Reis, Gabriel; and Jarvi, Jaakko
 ``Algorithmic differentiation in Axiom''
 ACM SIGSAM ISSAC Proceedings 2007 Waterloo, Canada 2007 pp347-354 
 ISBN 978-1-59593-743-8
+
 \bibitem[Sei94a]{Sei94a}
 W. M. Seiler ``Completion to involution in AXIOM'' in Calmet [Cal94] pp103-104
+
 \bibitem[Sie94b]{Sie94b}
 W. M. Seiler ``Pseudo differential operators and integrable systems in AXIOM''
 Computer Physics Communications, 79(2) pp329-340 April 1994 CODEN CPHCBZ
 ISSN 0010-4655\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Sei95]{Sei95}
 W.M.Seiler ``Applying AXIOM to partial differential equations''
 Internal Report 95-17, Universit\"at Karlsruhe, Fakult\"at f\"ur Informatik
 1995\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[SC95]{SC95}
 W.M. Seiler and J. Calmet
 ``JET -- An Axiom Environment for Geometric Computations with Differential
 Equations''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Seixx]{Seixx}
 Seiler, Werner M.
 ``DETools: A Library for Differential Equations''\\
 \verb|iaks-www.ira.uka.de/iaks-calmet/werner/werner.html|
+
 \bibitem[Sch92]{Sch92}
 J. Sch\"u ``Implementing des Cartan-Kuranishi-Theorems in AXIOM''
 Master's diploma thesis (in german), Institut f\"ur Algorithmen und
 Kognitive Systeme, Universit\"t Karlsruhe 1992
+
 \bibitem[Sit89]{Sit89}
 W. Y. Sit ``On Goldman's algorithm for solving first-order multinomial
 autonomous systems'' In Mora [Mor89], pp386-395 ISBN 3-540-51083-4
 LCCN QA268.A35 1998 Conference held jointly with ISSAC '88
+
 \bibitem[Sit92]{Sit92}
 W. Y. Sit ``An algorithm for solving parametric linear systems'' Journal
 of Symbolic Computations, 13(4) pp353-394, April 1992 CODEN JSYCEH 
 ISSN 0747-7171
+
 \bibitem[SJ87a]{SJ87a}
 R. S. Sutor and R. D. Jenks ``The type inference and coercion facilities in
 the Scratchpad II interpreter'' In Wexelblat [Wex87], pp56-63
 ISBN 0-89791-235-7 LCCN QA76.7.S54 v22:7 SIGPLAN Notices, v22 n7 (July 1987)\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[SJ87c]{SJ87c}
 Robert S. Sutor and Richard Jenks ``The type inference and coercion facilities
 in the Scratchpad II interpreter'' Research report RC 12595 (\#56575),
 IBM Thomas J. Watson Research Center, Yorktown Heights, NY, USA, 1987, 11pp
+
 \bibitem[Su87]{Su87}
 Sutor, Robert S. ``The Scratchpad II Computer Algebra System. Using and
 Programming the Interpreter'' IBM Course presentation slide deck
 Spring 1987
+
 \bibitem[Su88]{Su88}
 Robert S. Sutor
 ``A guide to programming in the scratchpad 2 interpreter''
 IBM Manual, March 1988
+
 \bibitem[Sme92]{Sme92}
 Trevor J. Smedley ``Using pictorial and object oriented programming for
 computer algebra'' In Hal Berghel et al., editors. Applied computing --
@@ -1254,1014 +1531,1355 @@ technologicial challenges of the 199s: proceedings of the 1992 ACM/SIGAPP
 Symposium on Applied Computing, Kansas City Convention Center, March 1-3, 1992
 pp1243-1247. ACM Press, New York, NY 10036, USA, 1992. ISBN 0-89791-502-X
 LCCN QA76.76.A65 S95 1992
+
 \bibitem[SS88]{SS88}
 D. Shannon and M. Sweedler. ``Using Gr{\"o}bner bases to determine algebra
 membership, split surjective algebra homomorphisms determine birational
 equivalence'' Journal of Symbolic Computation 6(2-3) pp267-273 
 Oct.-Dec. 1988 CODEN JSYCEH ISSN 0747-7171
+
 \bibitem[SSC92]{SSC92}
 ``Algorithmic Methods For Lie Pseudogroups'' 
 In N. Ibragimov, M. Torrisi and A. Valenti, editors, Proc. Modern Group
 Analysis: Advanced Analytical and Computational Methods in Mathematical
 Physics, pp337-344, Acireale (Italy), 1992 Kluwer, Dordrecht 1993\\
 \verb|iaks-www.ira.uka.de/iaks-calmet/werner/Papers/Acireale92.ps.gz|
+
 \bibitem[SSV87]{SSV87}
 P. Senechaud, F. Siebert, and G. Villard ``Scratchpad II: Pr{\'e}sentation 
 d'un nouveau langage de calcul formel'' Technical Report 640-M, TIM 3 (IMAG),
 Grenoble, France, Feb 1987
+
 \bibitem[Sut85]{Sut85}
 R. S. Sutor ``The Scratchpad II computer algebra language and system'' In
 Buchberger and Caviness [BC85], pp32-33 ISBN 0-387-15983-5 (vol. 1),
 0-387-15984-3 (vol. 2) LCCN QA155.7.E4 E86 1985 Two volumes.
+
+\subsection{T} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Tho00]{Tho00}
 Simon Thompson
 ``Logic and dependent types in the Aldor Computer Algebra System''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[TTxx]{TTxx}
 Simon Thompson and Leonid Timochouk
 ``The Aldor\-\- language''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Tou98]{Tou98}
 Emmanuel Touratier
 ``Etude du typage dans le syst\`eme de calcul scientifique Aldor''
 Universit\'e de Limoges 1998\\
+
+\subsection{V} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[vH94]{vH94}
 M. van Hoeij ``An algorithm for computing an integral basis in an algebraic
 function field'' Journal of Symbolic Computation, 18(4) pp353-363 Oct. 1994
 CODEN JSYCEH ISSN 0747-7171
+
+\bibitem[Vas99]{Vas99}
+Wolmer Vasconcelos
+``Computational Methods in Commutative Algebra and Algebraic Geometry''
+Springer, Algorithms and Computation in Mathematics, Vol 2 1999
+ISBN 3-540-21311-2
+
+\subsection{W} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Wan89]{Wan89}
 D. Wang ``A program for computing the Liapunov functions and Liapunov
 constants in Scratchpad II'' SIGSAM Bulletin (ACM Special Interest Group
 on Symbolic and Algebraic Manipulation), 23(4) pp25-31, Oct. 1989,
 CODEN SIGSBZ ISSN 0163-5824
+
 \bibitem[Wan91]{Wan91}
 Dongming Wang, ``Mechanical manipulation for a class of differential
 systems'' Journal of Symbolic Computation, 12(2) pp233-254 Aug. 1991
 CODEN JSYCEH ISSN 0747-7171
+
 \bibitem[Wan92]{Wan92}
 Paul S. Wang, editor. International System Symposium on Symbolic and
 Algebraic Computation 92 ACM Press, New York, NY 10036, USA, 1992
 ISBN 0-89791-489-9 (soft cover), 0-89791-490-2 (hard cover), 
 LCCN QA76.95.I59 1992
+
 \bibitem[Wat89]{Wat89}
 S. M. Watt ``A fixed point method for power series computation'' In Gianni
 [Gia89], pp206-217 ISBN 3-540-51084-2 LCCN QA76.95.I57 1988 Conference held
 jointly with AAECC-6
+
 \bibitem[Wat91]{Wat91}
 Stephen M. Watt, editor Proceedings of the 1991 International Symposium on
 Symbolic and Algebraic Computation, ISSAC'91, July 15-17, 1991, Bonn, Germany,
 ACM Press, New York, NY 10036, USA, 1991 ISBN 0-89791-437-6 
 LCCN QA76.95.I59 1991
+
 \bibitem[Wat94]{Wat94}
 Watt, Stephen M., Broadbery, Peter A., Dooley, Samuel S., and Iglio, Pietro
 ``A First Report on the A\# Compiler (including benchmarks)''
 IBM Research Report RC19529 (85075) May 12, 1994\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Wat94a]{Wat94a}
 Watt, Stephen M., et. al. ``A\# User's Guide''
 Version 1.0.0 O($\epsilon{}^1$) June 8, 1994
+
+\bibitem[Wat94c]{Wat94c}
+Stephen M. Watt
+``A\# Language Reference Version 0.35''
+IBM Research Division Technical Report RC19530 May 1994
+
 \bibitem[Wat95]{Wat95}
 S.M. Watt, P.A. Broadbery, S.S. Dooley, P. Iglio, J.M. Steinbach,
 S.C. Morrison, R.S. Sutor
 ``AXIOM Library Compiler Users Guide''
 The Numerical Algorithms Group (NAG) Ltd, 1994
+
 \bibitem[WJ12]{WJ12}
 Wei-Jiang
 ``Top free algebra System''\\
 \verb|wei-jiang.com/it/software/top-free-algebra-system-bye-mathematica-bye-maple|
+
 \bibitem[WJST90]{WJST90}
 S.M. Watt, R.D. Jenks, R.S. Sutor, and B.M. Trager. ``The Scratchpad II 
 type system: Domains and subdomains'' in A.M. Miola, editor Computing Tools
 for Scientific Problem Solving, Academic Press, New York, 1990
+
 \bibitem[Web93]{Web93}
 A. Weber. ``On coherence in computer algebra'' In Miola [Mio93], pp95-106
 ISBN 3-540-57235-X LCCN QA76.9.S88I576 1993
+
 \bibitem[Web94]{Web94}
 Andreas Weber
 ``Algorithms for Type Inference with Coercions''
 ISSAC 94 ACM 0-89791-638-7/94/0007\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Wes99]{Wes99}
 Wester, Michael J. ``Computer Algebra Systems''
 John Wiley and Sons 1999 ISBN 0-471-98353-5
+
 \bibitem[Wex87]{Wex87}
 Richard L. Wexelblat, editor. Proceedings of the SIGPLAN '87 Symposium on
 Interpreter and Interpretive Techniques, St. Paul, Minnesota, June 24-26, 1987
 ACM Press, New York, NY 10036, USA, 1987 ISBN 0-89791-235-7
 LCCN QA76.7.S54 v22:7 SIGPLAN Notices, vol 22, no 7 (July 1987)
+
 \bibitem[WN90]{WN90}
 Shunro Watanabe and Morio Nagata, editors. ISSAC '90 Proceedings of the
 International Symposium on Symbolic and Algebraic Computation ACM Press,
 New York, NY, 10036, USA. 1990 ISBN 0-89791-401-5 LCCN QA76.95.I57 1990
+
 \bibitem[WWW1]{WWW1}
 Software Preservation Group\\
 \verb|www.softwarepresentation.org/projects/LISP/common_lisp_family|
+
+\subsection{Y} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Yap00]{Yap00}
 Yap, Chee Keng ``Fundamental Problems of Algorithmic Algebra''
 Oxford University Press (2000) ISBN0-19-512516-9
+
 \bibitem[You04]{You04}
 Saul Youssef
 ``Prospects for Category Theory in Aldor'' October 2004\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Yun83]{Yun83}
 Yun, David Y.Y. ``Computer Algebra and Complex Analysis''
 Computational Aspects of Complex Analysis pp379-393
 D. Reidel Publishing Company H. Werner et. al. (eds.)
+
+\subsection{Z} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Zen92]{Zen92}
 Ch. Zenger. ``Gr{\"o}bnerbasen f{\"u}r Differentialformen und ihre
 Implementierung in AXIOM, Diplomarbeit, Universit{\"a}t Karlsruhe,
 Karlsruhe, Germany, 1992
-\end{thebibliography}
 
+\bibitem[Zip92]{Zip92}
+Richard Zippel
+``Algebraic Computation'' (unpublished)
+Cornell University Ithaca, NY Sept 1992
+
+\bibitem[Zwi92]{Zwi92}
+Daniel Zwillinger
+``Handbook of Integration''
+Jones and Bartlett, 1992, ISBN 0-86720-293-9
+
+\newpage
 \section{Axiom Citations of External Sources}
-\begin{thebibliography}{999}
+
+\subsection{A} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Ab98]{Ab98}
 Ablamowicz Rafal, ``Spinor Representations of Clifford
 Algebras: A Symbolic Approach'', Computer Physics Communications
 Vol. 115, No. 2-3, December 11, 1998, pages 510-535.
+
 \bibitem[AS64]{AS64}
 Abramowitz, Milton and Stegun, Irene A.
 ``Handbook of Mathematical Functions'' (1964) Dover Publications, NY
 ISBN 0-486-61272-4
+
 \bibitem[AS68]{AS68}
 Abramowitz M and Stegun I A,
 ``Handbook of Mathematical Functions'' 
 Dover Publications. (1968) 
+
 \bibitem[Alt05]{Alt05}
 Altmann, Simon L. Rotations, Quaternions, and Double Groups
 Dover Publications, Inc. 2005 ISBN 0-486-44518-6
+
 \bibitem[Ames77]{Ames77}
 Ames W F, 
 ``Nonlinear Partial Differential Equations in Engineering'' 
 Academic Press (2nd Edition). (1977)
+
 \bibitem[Amos86]{Amos86}
 Amos D E, 
 ``Algorithm 644: A Portable Package for Bessel Functions of a Complex 
 Argument and Nonnegative Order'' 
 ACM Trans. Math. Softw. 12 265--273. (1986)
+
 \bibitem[And00]{And00}
 Anderson, Edward
 ``Discontinuous Plane Rotations and the Symmetric Eigenvalue Problem''
 LAPACK Working Note 150, University of Tennessee, UT-CS-00-454,
 December 4, 2000.
+
 \bibitem[ACH82]{ACH82}
 Anthony G T, Cox M G and Hayes J G,
 ``DASL - Data Approximation Subroutine Library'' 
 National Physical Laboratory. (1982) 
+
 \bibitem[ALM99]{ALM99}
 P. Aubry, D. Lazard, and M. Moreno Maza
 ``On the Theories of Triangular Sets''
 Journal of Symbolic Computation 1999 Vol 28 pp105-124
+
+\subsection{B} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Bai66]{Bai66}
 Bailey P B, 
 ``Sturm-Liouville Eigenvalues via a Phase Function'' 
 SIAM J. Appl. Math . 14 242--249. (1966)
+
 \bibitem[BGM96]{BGM96}
 George A. Baker and Peter Graves-Morris
 ``Pade Approximants''
 Cambridge University Press, March 1996 ISBN 9870521450072
+
 \bibitem[Ba10]{Ba10}
 Baker, Martin ``3D World Simulation''\\
 \verb|www.euclideanspace.com|
+
 \bibitem[BK68]{BK68}
 Banks D O and Kurowski I, 
 ``Computation of Eigenvalues of Singular Sturm-Liouville Systems'' 
 Math. Computing. 22 304--310. (1968)
+
 \bibitem[Bard74]{Bard74}
 Bard Y, ``Nonlinear Parameter Estimation'' Academic Press. 1974
+
 \bibitem[BR73]{BR73}
 Barrodale I and Roberts F D K,
 ``An Improved Algorithm for Discrete $ll_1$ Linear Approximation'' 
 SIAM J. Numer. Anal. 10 839--848. (1973) 
+
 \bibitem[BR74]{BR74}
 Barrodale I and Roberts F D K,
 ``Solution of an Overdetermined System of Equations in the $ll_1-norm$.'' 
 Comm.  ACM. 17, 6 319--320. (1974) 
+
 \bibitem[Bea92]{Bea92}
 Bernard Beauzamy, ``Products of polynomials and a priori estimates for
 coefficients in polynomial decompositions: a sharp result''
 J. Symbolic Computation (1992) 13, 463-472
+
 \bibitem[Bea93]{Bea93}
 Bernard Beauzamy, Vilmar Trevisan and Paul S. Wang, 
 ``Polynomial Factorization: Sharp Bounds, Efficient Algorithms''
 J. Symbolic Computation (1993) 15, 393-413
+
 \bibitem[Ber95]{Ber95}
 Laurent Bertrand. Computing a hyperelliptic integral using
 arithmetic in the jacobian of the curve. {\sl Applicable Algebra in
 Engineering, Communication and Computing}, 6:275-298, 1995
+
 \bibitem[BBG87]{BBG87}
 Berzins M, Brankin R W and Gladwell I,
 ``Design of the Stiff Integrators in the NAG Library'' 
 Technical Report. TR14/87 NAG. (1987) 
+
 \bibitem[Ber90]{Ber90}
 Berzins M, 
 ``Developments in the NAG Library Software for Parabolic Equations''
 Scientific Software Systems. (ed J C Mason and M G Cox) 
 Chapman and Hall. 59--72.  (1990)
+
 \bibitem[BR62]{BR62}
 Birkhoff G and Rota G C, 
 ``Ordinary Differential Equations'' 
 Ginn \& Co., Boston and New York. (1962)
+
 \bibitem[Boyd93a]{Boyd93a}
 David W. Boyd, ``Bounds for the Height of a Factor of a Polynomial in
 Terms of Bombieri's Norms: I. The Largest Factor''
 J. Symbolic Computation (1993) 16, 115-130
+
 \bibitem[Boyd93b]{Boyd93b}
 David W. Boyd, ``Bounds for the Height of a Factor of a Polynomial in
 Terms of Bombieri's Norms: II. The Smallest Factor''
 J. Symbolic Computation (1993) 16, 131-145
+
 \bibitem[BBM02a]{BBM02a}
 K. Braman, R. Byers and R. Mathias, The Multi-Shift QR
 Algorithm Part I: Maintaining Well Focused Shifts, and Level 3
 Performance, SIAM Journal of Matrix Analysis, volume 23, pages
 929--947, 2002.
+
 \bibitem[BBM02b]{BBM02b}
 K. Braman, R. Byers and R. Mathias, The Multi-Shift QR
 Algorithm Part II: Aggressive Early Deflation, SIAM Journal
 of Matrix Analysis, volume 23, pages 948--973, 2002.
+
 \bibitem[Bre75]{Bre75}
 R. P. Brent, ``Multiple-Precision Zero-Finding Methods and the Complexity 
 of Elementary Function Evaluation, Analytic Computational Complexity'' 
 J. F. Traub, Ed., Academic Press, New York 1975, 151-176 
+
 \bibitem[BK78]{BK78}
 R. P. Brent and H. T. Kung, 
 ``Fast Algorithms for Manipulating Formal Power Series'' 
 Journal of the Association for Computing Machinery, 
 Vol. 25, No. 4, October 1978, 581-595
+
 \bibitem[Bri73]{Bri73}
 Brigham E O, ``The Fast Fourier Transform'' Prentice-Hall. (1973)
+
 \bibitem[Bri69]{Bri69}
 John Brillhart, ``On the Euler and Bernoulli polynomials''
 J. Reine Angew. Math., v. 234, (1969), pp. 45-64
+
 \bibitem[Bri90]{Bri90}
 John Brillhart, ``Note on Irreducibility Testing''
 Mathematics of Computation, vol. 35, num. 35, Oct. 1980, 1379-1381
+
 \bibitem[Bro88]{Bro88}
 Bronstein, Manual ``The Transcendental Risch Differential Equation''
 J. Symbolic Computation (1990) 9, pp49-60 Feb 1988
+
 \bibitem[Bro88a]{Bro88a}
 Bronstein, Manual ``The Transcendental Risch Differential Equation''
 IBM Research Report RC13460 IBM Corp. Yorktown Heights, NY
+
 \bibitem[Bro90a]{Bro90a}
 Bronstein, Manuel ``Integration of Elementary Functions''
 J. Symbolic Computation (199) 9, pp117-173 September 1988
+
 \bibitem[Bro98b]{Bro98b}
 Bronstein, Manuel "Symbolic Integration Tutorial"
 INRIA Sophia Antipolis ISSAC 1998 Rostock
+
 \bibitem[Bro90c]{Bro90c}
 M. Bronstein. ``On the integration of elementary functions''
 {\sl Journal of Symbolic Computation} 9(2):117-173, February 1990
+
 \bibitem[REF-BS93]{REF-BS93}
 Manuel Bronstein and Bruno Salvy ``Full partial fraction decomposition of
 rational functions'' In Bronstein [Bro93] pp157-160 ISBN 0-89791-604-2
 LCCN QA76.95 I59 1993\\
 \verb|http://www.acm.org/pubs/citations/proceedings/issac/164081/|
+
 \bibitem[Bro97]{Bro97}
 M. Bronstein. {\sl Symbolic Integration I--Transcendental Functions.} 
 Springer, Heidelberg, 1997 ISBN 3-540-21493-3
+
 \bibitem[REF-Bro98]{REF-Bro98}
 M. Bronstein. ``The lazy hermite reduction'' Rapport de
 Recherche RR-3562, INRIA, 1998
+
+\subsection{C} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Car65]{Car65}
 Carlson B C, 
 ``On Computing Elliptic Integrals and Functions'' 
 J Math Phys. 44 36--51. (1965)
+
 \bibitem[Car77a]{Car77a}
 Carlson B C, 
 ``Elliptic Integrals of the First Kind'' SIAM J Math Anal. 8 231--242. (1977)
+
 \bibitem[Car77b]{Car77b}
 Carlson B C, 
 ``Special Functions of Applied Mathematics'' Academic Press. (1977)
+
 \bibitem[Car78]{Car78}
 Carlson B C, 
 ``Computing Elliptic Integrals by Duplication.'' 
 (Preprint) Department of Physics, Iowa State University. (1978)
+
 \bibitem[Car88]{Car88}
 Carlson B C, 
 ``A Table of Elliptic Integrals of the Third Kind'' 
 Math. Comput. 51 267--280. (1988)
+
 \bibitem[Cau1829]{Cau1829}
 Augustin-Lux Cauchy, ``Exercices de Math\'ematiques Quatri\`eme Ann\'ee.
 De Bure Fr\`eres'' Paris 1829 (reprinted Oeuvres, II S\'erie, Tome IX,
 Gauthier-Villars, Paris, 1891).
+
 \bibitem[CSDDN79]{CSDDN79}
 Childs B, Scott M, Daniel J W, Denman E and Nelson P (eds) (1979) 
 ``Codes for Boundary-value Problems in Ordinary Differential Equations'' 
 Lecture Notes in Computer Science. 76 (1979) Springer-Verlag
+
 \bibitem[Cla89]{Cla89}
 M. Clausen, A. Fortenbacher, 
 ``Efficient Solution of Linear Diophantine Equations'' 
 JSC (1989) 8, 201-216
+
 \bibitem[Cle55]{Cle55}
 Clenshaw C W,
 ``A Note on the Summation of Chebyshev Series'' 
 Math. Tables Aids Comput. 9 118--120. (1955) 
+
 \bibitem[Cle60]{Cle60}
 Clenshaw C W, ``Curve Fitting with a Digital Computer''
 Comput. J. 2 170--173. (1960)
+
 \bibitem[Cle62]{Cle62}
 Clenshaw C W, 
 ``Mathematical Tables. Chebyshev Series for Mathematical Functions'' 
 HMSO. (1962)
+
 \bibitem[CR84]{CR84}
 Cline A K and Renka R L,
 ``A Storage-efficient Method for Construction of a Thiessen Triangulation'' 
 Rocky Mountain J. Math. 14 119--139. (1984) 
+
 \bibitem[CCNPW87]{CCNPW87}
 J. Conway, R. Curtis, S. Norton, R. Parker, R. Wilson
 ``Atlas of Finite Groups''
 Oxford, Clarendon Press, 1987
+
 \bibitem[CS03]{CS03}
 Conway, John H. and Smith, Derek, A., ``On Quaternions and Octonions'' 
 A.K Peters, Natick, MA. (2003) ISBN 1-56881-134-9
+
 \bibitem[Cox72]{Cox72}
 Cox M G, ``The Numerical Evaluation of B-splines'' 
 J. Inst. Math. Appl. 10 134--149. (1972)
+
 \bibitem[Cox74a]{Cox74a}
 Cox M G,
 ``A Data-fitting Package for the Non-specialist User'' 
 Software for Numerical Mathematics. (ed D J Evans) Academic Press. (1974) 
+
 \bibitem[Cox74b]{Cox74b}
 Cox M G,
 ``Numerical methods for the interpolation and approximation of data 
 by spline functions'' 
 PhD Thesis. City University, London. (1975) 
+
 \bibitem[Cox75]{Cox75}
 Cox M G,
 ``An Algorithm for Spline Interpolation'' 
 J. Inst. Math. Appl. 15 95--108. (1975) 
+
 \bibitem[Cox77]{Cox77}
 Cox M G, 
 ``A Survey of Numerical Methods for Data and Function Approximation'' 
 The State of the Art in Numerical Analysis. (ed D A H Jacobs) 
 Academic Press. 627--668. (1977)
+
 \bibitem[Cox78]{Cox78}
 Cox M G,
 ``The Numerical Evaluation of a Spline from its B-spline Representation'' 
 J. Inst. Math. Appl. 21 135--143. (1978) 
+
 \bibitem[CH73]{CH73}
 Cox M G and Hayes J G (1973) 
 ``Curve fitting: a guide and suite of algorithms for the non-specialist user'' 
 Report NAC26. National Physical Laboratory.
+
 \bibitem[CPR74]{CPR74}
 Curtis A R, Powell M J D and Reid J K,
 ``On the Estimation of Sparse Jacobian Matrices'' 
 J. Inst. Maths Applics. 13 117--119. (1974) 
+
+\subsection{D} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[DB74]{DB74}
 Dahlquist G and Bjork A, ``Numerical Methods'' Prentice- Hall. (1974)
+
 \bibitem[DA98]{DA98}
 Dalmas, Stephane and Arsac, Olivier ``The INRIA OpenMath Library''
 Projet SAFIR, INRIA Sophia Antipolis Nov 25, 1998
+
 \bibitem[Dan63]{Dan63}
 Dantzig G B,
 ``Linear Programming and Extensions'' Princeton University Press. (1963) 
+
 \bibitem[Dav]{Dav}
 James Davenport, ``On Brillhart Irreducibility.'' To appear.
+
 \bibitem[REF-Dav93]{Ref-Dav93}
 J. H. Davenport ``Primality testing revisited'' Technical Report TR2/93
 (ATR/6)(NP2556) Numerical Algorithms Group, Inc., Downer's Grove, IL, USA
 and Oxford, UK, August 1993\\
 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html|
+
 \bibitem[DR75]{DR75}
 Davis P J and Rabinowitz P,
 ``Methods of Numerical Integration'' 
 Academic Press. (1975) 
+
 \bibitem[DR67]{DR67}
 Davis P J and Rabinowitz P, (1967) 
 ``Numerical Integration''
 Blaisdell Publishing Company. 33--52. (1967) 
+
 \bibitem[DeB72]{DeB72}
 De Boor C,
 ``On Calculating with B-splines'' 
 J. Approx. Theory. 6 50--62. (1972) 
+
 \bibitem[DeD78]{DeD78}
 De Doncker E,
 ``An Adaptive Extrapolation Algorithm for Automatic Integration'' 
 Signum Newsletter. 13 (2) 12--18. (1978) 
+
 \bibitem[Dem89]{Dem89}
 Demmel J W, 
 ``On Floating-point Errors in Cholesky''
 LAPACK Working Note No. 14. University of Tennessee, Knoxville. 1989
+
 \bibitem[DM77]{DM77}
 Dennis J E Jr and More J J 
 ``Quasi-Newton Methods, Motivation and Theory'' 
 SIAM Review. 19 46--89. 1977
+
 \bibitem[DS81]{DS81}
 Dennis J E Jr and Schnabel R B 
 ``A New Derivation of Symmetric Positive-Definite Secant Updates'' 
 Nonlinear Programming 4. (ed O L Mangasarian, R R Meyer and S M. Robinson) 
 Academic Press. 167--199. (1981) 
+
 \bibitem[DS83]{DS83}
 Dennis J E Jr and Schnabel R B 
 ``Numerical Methods for Unconstrained Optimixation and Nonlinear Equations''
 Prentice-Hall.(1983) 
+
 \bibitem[Die75]{Die75}
 Dierckx P,
 ``An Algorithm for Smoothing, Differentiating and Integration of 
 Experimental Data Using Spline Functions''
 J. Comput. Appl. Math. 1 165--184. (1975) 
+
 \bibitem[Die81]{Die81}
 Dierckx P,
 ``An Improved Algorithm for Curve Fitting with Spline Functions'' 
 Report TW54. Dept. of Computer Science, Katholieke Universiteit Leuven. 1981
+
 \bibitem[Die82]{Die82}
 Dierckx P,
 ``A Fast Algorithm for Smoothing Data on a Rectangular Grid while using 
 Spline Functions'' 
 SIAM J. Numer. Anal. 19 1286--1304. (1982) 
+
 \bibitem[DMBS79]{DMBS79}
 Dongarra J J, Moler C B, Bunch J R and Stewart G W,
 ``LINPACK Users' Guide'' 
 SIAM, Philadelphia. (1979)
+
 \bibitem[DCHH85]{DCHH85}
 Dongarra J J, Du Croz J J, Hammarling S and Hanson R J
 ``A Proposal for an Extended set of Fortran Basic Linear Algebra Subprograms''
 SIGNUM Newsletter. 20 (1) 2--18. (1985) 
+
 \bibitem[REF-DON88]{REF-DON88}
 Jack J. Dongarra, Jeremy Du Croz, Sven Hammarling, Richard J. Hanson
 ``An Extended Set of FORTRAN Basic Linear Algebra Subroutines''
 ACM Transactions on Mathematical Software, Vol 14, No 1, March 1988,
 pp 1-17
+
 \bibitem[REF-DON88a]{REF-DON88a}
 Jack J. Dongarra, Jeremy Du Croz, Sven Hammarling, Richard J. Hanson
 ``ALGORITHM 656: An Extended Set of Basic Linear Algebra Subprograms:
 Model Implementation and Test Programs''
 ACM Transactions on Mathematical Software, Vol 14, No 1, March 1988,
 pp 18-32
+
 \bibitem[REF-DON90]{REF-DON90}
 Jack J. Dongarra, Jeremy Du Croz, Sven Hammarling, Iain S. Duff
 ``A Set of Level 3 Basic Linear Algebra Subprograms''
 ACM Transactions on Mathematical Software, Vol 16, No 1, March 1990,
 pp 1-17
+
 \bibitem[REF-DON90a]{REF-DON90a}
 Jack J. Dongarra, Jeremy Du Croz, Sven Hammarling, Iain S. Duff
 ``ALGORITHM 679: A Set of Level 3 Basic Linear Algebra Subprograms: 
 Model Implementation and Test Programs''
 ACM Transactions on Mathematical Software, Vol 16, No 1, March 1990,
 pp 18-28
+
 \bibitem[Duc00]{Duc00}
 Lionel Ducos ``Optimizations of the subresultant algorithm''
 Journal of Pure and Applied Algebra V145 No 2 Jan 2000 pp149-163
+
 \bibitem[Duff77]{Duff77}
 Duff I S,
 ``MA28 -- a set of Fortran subroutines for sparse unsymmetric linear 
 equations'' 
 A.E.R.E. Report R.8730. HMSO. (1977) 
+
+\subsection{F} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Fl01]{Fl01}
 Fletcher, John P. ``Symbolic processing of Clifford Numbers in C++'', 
 Paper 25, AGACSE 2001.
+
 \bibitem[Fl09]{Fl09}
 Fletcher, John P. ``Clifford Numbers and their inverses
 calculated using the matrix representation.'' Chemical Engineering and
 Applied Chemistry, School of Engineering and Applied Science, Aston
 University, Aston Triangle, Birmingham B4 7 ET, U. K. \\
 \verb|www.ceac.aston.ac.uk/research/staff/jpf/papers/paper24/index.php|
+
 \bibitem[Fle81]{Fle81}
 Fletcher R, 
 ``Practical Methods of Optimization'' 
 Vol 2. Constrained Optimization. Wiley. (1981) 
+
 \bibitem[Flo63]{Flo63}
 Floyd, R. W.``Semantic Analysis and Operator Precedence''
 JACM 10, 3, 316-333 (1963)
+
 \bibitem[For57]{For57}
 Forsythe G E,
 ``Generation and use of orthogonal polynomials for data fitting 
 with a digital computer'' 
 J. Soc. Indust. Appl. Math. 5 74--88. (1957) 
+
 \bibitem[REF-For90]{REF-For90}
 A. Fortenbacher
 ``Efficient type inference and coercion in computer algebra''
 Design and Implementation of Symbolic Computation Systems (DISCO 90)
 A. Miola, (ed) vol 429 of Lecture Notes in Computer Science
 Springer-Verlag, pp56-60
+
 \bibitem[Fox68]{Fox68}
 Fox L and Parker I B, 
 ``Chebyshev Polynomials in Numerical Analysis'' 
 Oxford University Press. (1968)
+
 \bibitem[FN80]{FN80}
 Franke R and Nielson G, (1980) 
 ``Smooth Interpolation of Large Sets of Scattered Data'' 
 Internat. J. Num. Methods Engrg. 15 1691--1704. (1980) 
+
 \bibitem[Fri82]{Fri82}
 Fritsch F N, 
 ``PCHIP Final Specifications'' 
 Report UCID-30194. Lawrence Livermore National Laboratory. (1982) 
+
 \bibitem[FB84]{FB84}
 Fritsch F N and Butland J,
 ``A Method for Constructing Local Monotone Piecewise Cubic Interpolants'' 
 SIAM J. Sci. Statist. Comput. 5 300--304. (1984) 
+
 \bibitem[Fro65]{Fro65}
 Froberg C E
 ``Introduction to Numerical Analysis''
 Addison-Wesley. 181--187. (1965) 
+
+\subsection{G} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Ga95]{Ga95}
 Garcia, A. and Stichtenoth, H.
 ``A tower of Artin-Schreier extensions of function fields attaining the 
 Drinfeld-Vladut bound'' Invent. Math., vol. 121, 1995, pp. 211--222.
+
 \bibitem[Gat90]{Gat90}
 Joachim von zur Gathen, 
 ``Functional Decomposition Polynomials: the Tame Case'' 
 Journal of Symbolic Computation (1990) 9, 281-299
+
+\bibitem[GG99]{GG99}
+Joachim von zur Gathen and J\"urgen Gerhard
+``Modern Computer Algebra''
+Cambridge University Press 1999 ISBN 0-521-64176-4
+
 \bibitem[Gau79a]{Gau79a}
 Gautschi W, 
 ``A Computational Procedure for Incomplete Gamma Functions'' 
 ACM Trans. Math. Softw. 5 466--481. (1979)
+
 \bibitem[Gau79b]{Gau79b}
 Gautschi W, 
 ``Algorithm 542: Incomplete Gamma Functions''
 ACM Trans. Math. Softw. 5 482--489.  (1979)
+
 \bibitem[Gen69]{Gen69}
 Gentlemen W M,
 ``An Error Analysis of Goertzel's (Watt's) Method for Computing 
 Fourier Coefficients'' 
 Comput. J. 12 160--165. (1969) 
+
 \bibitem[Gen73]{Gen73}
 Gentleman W M, (1973) 
 ``Least-squares Computations by Givens Transformations without Square Roots'' 
 J. Inst. Math. Applic. 12 329--336.
+
 \bibitem[Gen74]{Gen74}
 Gentleman W M,
 ``Algorithm AS 75. Basic Procedures for Large Sparse or 
 Weighted Linear Least-squares Problems''
 Appl. Statist. 23 448--454. (1974) 
+
 \bibitem[GM74a]{GM74a}
 Gentleman W. M. and Marovich S. B., ``More on algorithms 
 that reveal properties of floating point arithmetic units''
 Comms. of the ACM, 17, 276-277.  (1974)
+
 \bibitem[GM80]{GM80}
 Genz A C and Malik A A, 
 ``An Adaptive Algorithm for Numerical Integration over an N-dimensional 
 Rectangular Region'' (1980) 
 J. Comput. Appl. Math. 6 295--302.
+
 \bibitem[GM72]{GM72}
 Gill P E and Miller G F,
 ``An Algorithm for the Integration of Unequally Spaced Data'' 
 Comput. J. 15 80--83. (1972) 
+
 \bibitem[GM74b]{GM74b}
 Gill P E and Murray W (eds) 
 ``Numerical Methods for Constrained Optimization'' Academic Press. (1974) 
+
 \bibitem[GM76a]{GM76a}
 Gill P E and Murray W,
 ``Minimization subject to bounds on the variables'' 
 Report NAC 72. National Physical Laboratory. (1976) 
+
 \bibitem[GM76b]{GM76b}
 Gill P E and Murray W, 
 ``Algorithms for the Solution of the Nonlinear Least-squares Problem'' 
 NAC 71 National Physical Laboratory. (1976)
+
 \bibitem[GM78]{GM78}
 Gill P E and Murray W,
 ``Algorithms for the Solution of the Nonlinear Least-squares Problem'' 
 SIAM J. Numer. Anal. 15 977--992. (1978) 
+
 \bibitem[GM79]{GM79}
 Gill P E and Murray W,
 ``Conjugate-gradient Methods for Large-scale Nonlinear Optimization'' 
 Technical Report SOL 79-15. Department of Operations Research, 
 Stanford University. (1979) 
+
 \bibitem[GMW81]{GMW81}
 Gill P E, Murray W and Wright M H,
 ``Practical Optimization'' 
 Academic Press. 1981
+
 \bibitem[GMW82]{GMW82}
 Gill P E, Murray W, Saunders M A and Wright M H,
 ``The design and implementation of a quadratic programming algorithm'' 
 Report SOL 82-7. Department of Operations Research, 
 Stanford University. (1982) 
+
 \bibitem[GMSW84a]{GMSW84a}
 Gill P E, Murray W, Saunders M A and Wright M H,
 ``User's Guide for SOL/QPSOL Version 3.2'' 
 Report SOL 84-5. Department of Operations Research, Stanford University. 1984
+
 \bibitem[GMSW84b]{GMSW84b}
 Gill P E, Murray W, Saunders M A and Wright M H,
 ``Procedures for Optimization Problems with a Mixture of
 Bounds and General Linear Constraints'' 
 ACM Trans. Math. Softw. 10 282--298. 1984
+
 \bibitem[GMSW86a]{GMSW86a}
 Gill P E, Hammarling S, Murray W, Saunders M A and Wright M H, 
 ``User's Guide for LSSOL (Version 1.0)'' 
 Report SOL 86-1. Department of Operations Research, Stanford University. 1986
+
 \bibitem[GMSW86b]{GMSW86b}
 Gill P E, Murray W, Saunders M A and Wright M H, 
 ``Some Theoretical Properties of an Augmented Lagrangian Merit Function'' 
 Report SOL 86-6R. Department of Operations Research, Stanford University. 1986
+
 \bibitem[Gla79]{Gla79}
 Gladwell I,
 ``Initial Value Routines in the NAG Library''
 ACM Trans Math Softw. 5 386--400. (1979) 
+
 \bibitem[GS80]{GS80}
 Gladwell I and Sayers D K
 ``Computational Techniques for Ordinary Differential Equations''  
 Academic Press. 1980
+
 \bibitem[Gla86]{Gla86}
 Gladwell I,
 ``Vectorisation of one dimensional quadrature codes'' 
 Techincal Report. TR7/86  NAG. (1986) 
+
 \bibitem[Gla87]{Gla87}
 Gladwell I,
 ``The NAG Library Boundary Value Codes''
 Numerical Analysis Report. 134 Manchester University. (1987) 
+
 \bibitem[God40]{God40}
 Goedel, "The consistency of the continuum hypothesis",
 Ann. Math. Studies, Princeton Univ. Press, 1940
+
 \bibitem[GG90]{GG90}
 H. Gollan, J. Grabmeier, ``Algorithms in Representation Theory and
 their Realization in the Computer Algebra System Scratchpad''
 Bayreuther Mathematische Schriften, Heft 33, 1990, 1-23
+
 \bibitem[GL89]{GL89}
 Golub, Gene H. and Van Loan, Charles F.
 ``Matrix Computations''
 Johns Hopkins University Press ISBN 0-8018-3772-3 (1989)
+
 \bibitem[GL96]{GL96}
 Golub, Gene H. and Van Loan, Charles F.
 ``Matrix Computations''
 Johns Hopkins University Press ISBN 978-0-8018-5414-9 (1996)
+
 \bibitem[Grab]{Grab}
 J. Grabmeier, ``On Plesken's root finding algorithm'' in preparation
+
 \bibitem[GK87]{GK87}
 J. Grabmeier, A. Kerber: ``The Evaluation of Irreducible
 Polynomial Representations of the General Linear Groups
 and of the Unitary Groups over Fields of Characteristic 0''
 Acta Appl. Math. 8 (1987), 271-291
+
 \bibitem[REF-GS92]{REF-GS92}
 J. Grabmeier and A. Scheerhorn ``Finite fields in Axiom'' AXIOM Technical
 Report TR7/92 (ATR/5)(NP2522), Numerical Algorithms Group, Inc., Downer's
 Grove, IL, USA and Oxford, UK, 1992\\
 \verb|http://www.nag.co.uk/doc/TechRep/axiomtr.html|
+
+\subsection{H} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[HL95]{HL95}
 Hach\'e, G. and Le Brigand, D.
 ``Effective construction of algebraic geometry codes'' 
 IEEE Transaction on Information Theory, vol. 41, n27 6, 
 November 1995, pp. 1615--1628.
+
 \bibitem[Ha95]{Ha95}
 Hach\'e, G. ``Computation in algebraic function fields for effective 
 construction of algebraic-geometric codes'' 
 Lecture Notes in Computer Science, vol. 948, 1995, pp. 262--278.
+
 \bibitem[Ha96]{Ha96}
 Hach\'e, G. ``Construction effective des codes g\'eom\'etriques''
 Th\'ese de doctorat de l'Universit\'e Pierre et Marie Curie (Paris 6), 
 Septembre 1996.
+
 \bibitem[HW76]{HW76}
 Hall G and Watt J M (eds), 
 ``Modern Numerical Methods for Ordinary Differential Equations'' 
 Clarendon Press. (1976)
+
 \bibitem[Ham04]{Ham04}
 Hamdy, S. ``LiDIA A library for computational number theory''
 Reference manual Edition 2.1.1 May 2004\\
 \verb|www.cdc.informatik.tu-darmstadt.de/TI/LiDIA|
+
 \bibitem[Ham85]{Ham85}
 Hammarling S,
 `` The Singular Value Decomposition in Multivariate Statistics'' 
 ACM Signum Newsletter. 20, 3 2--25. (1985) 
+
 \bibitem[HH67]{HH67}
 Hammersley J M and Handscomb D C, ``Monte-Carlo Methods'' Methuen. (1967)
+
 \bibitem[Ham62]{Ham62}
 Hamming R W, 
 ``Numerical Methods for Scientists and Engineers'' McGraw-Hill. (1962)
+
 \bibitem[Ha1896]{Ha1896}
 Hathway, Arthur S., "A Primer Of Quaternions"  (1896)
+
 \bibitem[Hay70]{Hay70}
 Hayes J G,
 ``Curve Fitting by Polynomials in One Variable'' 
 Numerical Approximation to Functions and Data. 
 (ed J G Hayes) Athlone Press, London. (1970) 
+
 \bibitem[Hay74]{Hay74}
 Hayes J G,
 ``Numerical Methods for Curve and Surface Fitting'' 
 Bull Inst Math Appl. 10 144--152. (1974) 
+
 \bibitem[HH74]{HH74}
 Hayes J G and Halliday J,
 ``The Least-squares Fitting of Cubic Spline Surfaces to General Data Sets''
 J. Inst. Math. Appl. 14 89--103. (1974) 
+
 \bibitem[Hen56]{Hen56}
 Peter Henrici, ``Automatic Computations with Power Series''
 Journal of the Association for Computing Machinery, Volume 3, No. 1,
 January 1956, 10-15
+
 \bibitem[Her1872]{Her1872}
 E. Hermite. Sur l'int\'{e}gration des fractions
 rationelles. {\sl Nouvelles Annales de Math\'{e}matiques}
 ($2^{eme}$ s\'{e}rie), 11:145-148, 1872
+
 \bibitem[Hig02]{Hig02}
 Higham, Nicholas J.
 ``Accuracy and stability of numerical algorithms''
 SIAM Philadelphia, PA ISBN 0-89871-521-0 (2002)
+
 \bibitem[Hig88]{Hig88}
 N.J. Higham, "FORTRAN codes for estimating the one-norm of a
 real or complex matrix, with applications to condition estimation", ACM
 Trans. Math. Soft., vol. 14, no. 4, pp. 381-396, December 1988.
+
 \bibitem[HS81]{HS81}
 Hock W and Schittkowski K, 
 ``Test Examples for Nonlinear Programming Codes'' 
 Lecture Notes in Economics and Mathematical Systems. 187 Springer-Verlag. 1981
+
 \bibitem[Hou70]{Hou70}
 Householder A S, 
 ``The Numerical Treatment of a Single Nonlinear Equation'' 
 McGraw-Hill. (1970)
+
 \bibitem[Hou81]{Hou81}
 Householder, Alston S. ``Principles of Numerical Analysis''
 Dover Publications, Mineola, NY ISBN 0-486-45312-X (1981)
+
 \bibitem[HI96]{HI96}
 Huang, M.D. and Ierardi, D.
 ``Efficient algorithms for Riemann-Roch problem and for addition in the 
 jacobian of a curve'' 
 Proceedings 32nd Annual Symposium on Foundations of Computer Sciences. 
 IEEE Comput. Soc. Press, pp. 678--687.
+
+\subsection{I} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[IBM]{IBM}
 SCRIPT Mathematical Formula Formatter User's Guide, SH20-6453,
 IBM Corporation, Publishing Systems Information Development,
 Dept. G68, P.O. Box 1900, Boulder, Colorado, USA 80301-9191.
+
 \bibitem[IT88]{IT88}
 T.Itoh, S.Tsujii, ``A fast algorithm for computing multiplicative inverses
 in $GF(2^m)$ using normal bases'' 
 Inf. and Comp. 78, pp.171-177, 1988
+
 \bibitem[Iya77]{Iya77}
 Shokichi Iyanaga and Yukiyosi Kawada Iyanaga
 ``Encyclopedic Dictionary of Mathematics'' 1977
+
+\subsection{J} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Jac68]{Jac68}
 N. Jacobson, ``Structure and Representations of Jordan Algebras''
 AMS, Colloquium Publications Volume 39
+
 \bibitem[JK81]{JK81}
 Gordon James and Adalbert Kerber
 ``The Representation Theory of the Symmetric Group''
 Encyclopedia of Mathematics and its Applications Vol. 16
 Addison-Wesley, 1981
+
 \bibitem[JS77]{JS77}
 Jaswon M A and Symm G T, 
 ``Integral Equation Methods in Potential Theory and Elastostatics'' 
 Academic Press. (1977)
+
 \bibitem[Je04]{Je04}
 Jeffrey, Alan ``Handbook of Mathematical Formulas and Integrals''
 Third Edition, Elsevier Academic Press ISBN 0-12-382256-4
+
 \bibitem[Jen66]{Jen66}
 Jennings A, 
 ``A Compact Storage Scheme for the Solution of Symmetric Linear 
 Simultaneous Equations'' 
 Comput. J. 9 281--285. (1966) 
+
+\subsection{K} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Kal91]{Kal91}
 M. Kalkbrener ``Three contributions to elimination theory''
 Ph. D. Thesis, University of Linz, Austria, 1991
+
 \bibitem[Kal98]{Kal98}
 M. Kalkbrener, ``Algorithmic properties of polynomial rings''
 Journal of Symbolic Computation 1998
+
 \bibitem[Kan89]{Kan89}
 I.L Kantor, A.S. Solodovnikov
 ``Hypercomplex Numbers''
 Springer Verlag Heidelberg, 1989, ISBN 0-387-96980-2
+
 \bibitem[KMJ00]{KMJ00}
 Kaufmann, Matt; Manolios, Panagiotis, and Moore J Strother 
 ``Computer-Aided Reasoning: An Approach'' Springer, July 31. 2000
 ISBN 0792377443
+
 \bibitem[Knu71]{Knu71}
 Donald Knuth ``The Art of Computer Programming'' 2nd edition Vol. 2
 (Seminumerical Algorithms) 1st edition, 2nd printing, 
 Addison-Wesley 1971, p. 397-398
+
 \bibitem[Knu84]{Knu84}
 Knuth, Donald, {\it The \TeX{}book} \\
 Reading, Massachusetts, Addison-Wesley Publishing Company, Inc., 
 1984. ISBN 0-201-13448-9
+
 \bibitem[Kn92]{Kn92}
 Knuth, Donald E., ``Literate Programming''
 Center for the Study of Language and Information
 ISBN 0-937073-81-4 Stanford CA (1992) 
+
 \bibitem[Kol73]{Kol73}
 Kolchin, E.R. ``Differential Algebra and Algebraic Groups''
 (Academic Press, 1973).
+
 \bibitem[Kou10]{Kou10}
 Christoph Koutschan "Axiom / FriCAS"\\
 \verb|www.risc.jku.at/education/courses/ws2010/cas/axiom.pdf|
+
 \bibitem[KL86]{KL86}
 Dexter Kozen and Susan Landau, ``Polynomial Decomposition Algorithms'' 
 Journal of Symbolic Computation (1989) 7, 445-456
+
+\subsection{L} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[La86]{La86}
 Lamport, Leslie, 
 {\it LaTeX: A Document Preparation System,} \\
 Reading, Massachusetts, Addison-Wesley Publishing Company, Inc., 
 1986. ISBN 0-201-15790-X
+
 \bibitem[Lau71]{Lau71}
 Lautrup B, 
 ``An Adaptive Multi-dimensional Integration Procedure'' 
 Proc. 2nd Coll. on Advanced Methods in Theoretical Physics, Marseille. (1971) 
+
 \bibitem[Law77]{Law77}
 Lawson C L, 
 ``Software for C  Surface Interpolation''
 Mathematical Software III. (ed J R Rice) Academic Press. 161--194. (1977) 
+
 \bibitem[LH74]{LH74}
 Lawson C L and Hanson R J,
 ``Solving Least-squares Problems'' 
 Prentice-Hall. (1974) 
+
 \bibitem[REF-LAW79]{REF-LAW79}
 Lawson, C.L., Hanson R.J., Kincaid, D.R., Krogh, F.T.
 ``Algorithm 539: Basic linear algebra subprograms for FORTRAN usage''
 ACM Transactions on Mathematical Software, Vol 5 No 3 September 1979
 pp 308-323
+
 \bibitem[LHKK79]{LHKK79}
 Lawson C L, Hanson R J, Kincaid D R and Krogh F T,
 ``Basic Linear Algebra Subprograms for Fortran Usage'' 
 ACM Trans. Math. Softw. 5 308--325. (1979)
+
 \bibitem[Laz91]{Laz91}
 D. Lazard 
 ``A new method for solving algebraic systems of positive dimension'' 
 Discr. App. Math. 33:147-160,1991
+
 \bibitem[Laz92]{Laz92}
 D. LAZARD ``Solving Zero-dimensional Algebraic Systems''
 Journal of Symbolic Computation, 1992, 13, 117-131
+
 \bibitem[LR90]{LR90}
 Daniel Lazard and Renaud Rioboo. ``Integration of rational
 functions: Rational computation of the logarithmic part'' 
 {\sl Journal of Symbolic Computation}, 9:113-116:1990
+
 \bibitem[LR88]{LR88}
 Le Brigand, D. and Risler, J.J.
 ``Algorithme de Brill-Noether et codes de Goppa''
 Bull. Soc. Math. France, vol. 116, 1988, pp. 231--253.
+
 \bibitem[LS87]{LS87}
 Lenstra, H. W. \& Schoof, R. J., 
 ``Primitivive Normal Bases for Finite Fields''
 Math. Comp. 48, 1987, pp. 217-231
+
 \bibitem[Lew77]{Lew77}
 Lewis J G,
 ``Algorithms for sparse matrix eigenvalue problems'' 
 Technical Report STAN-CS-77-595. Computer Science Department, 
 Stanford University. (1977) 
+
 \bibitem[LN83]{LN83}
 R.Lidl, H.Niederreiter 
 ``Finite Field, Encycoldia of Mathematics and Its Applications'', 
 Vol. 20, Cambridge Univ. Press, 1983 ISBN 0-521-30240-4
+
 \bibitem[LMW79]{LMW79}
 Linger, Richard C.; Mills, Harlan D.; and Witt, Bernard I.
 ``Structured Programming: Theory and Practice''
 Addison-Wesley (March 1979) ISBN 0201144611
+
 \bibitem[Lio1833a]{Lio1833a}
 Joseph Liouville. Premier m\'{e}moire sur la
 d\'{e}termination des int\'{e}grales dont la valeur est
 alg\'{e}brique. {\sl Journal de l'Ecole Polytechnique}, 14:124-148, 1833
+
 \bibitem[Lio1833b]{Lio1833b}
 Joseph Liouville. Second m\'{e}moire sur la
 d\'{e}termination des int\'{e}grales dont la valeur est
 alg\'{e}brique. {\sl Journal de l'Ecole Polytechnique}, 14:149-193, 1833
+
 \bibitem[Lip81]{Lip81}
 D.Lipson, ``Elements of Algebra and Algebraic Computing'', 
 The Benjamin/Cummings Publishing Company, Inc.-Menlo Park, California, 1981.
+
 \bibitem[Loe09]{Loe09} 
 Loetzsch, M. ``GTFL - A graphical terminal for Lisp''\\
 \verb|martin-loetzsch.de/gtfl/|
+
 \bibitem[Los60]{Los60}
 L\"osch, Friedrich ``Tables of Higher Functions''
 McGraw-Hill Book Company 1960
+
 \bibitem[LTU10]{LTU10}
 ``Lambda the Ultimate''\\
 \verb|lambda-the-ultimate.org/node/3663#comment-62440|
+
 \bibitem[Luk169]{Luk169}
 Luke, Yudell L. ``The Special Functions and their Approximations'' Volume I
 Academic Press (1969) Mathematics in Science and Engineering Volume 53-I
+
 \bibitem[Luk269]{Luk269}
 Luke, Yudell L. ``The Special Functions and their Approximations'' Volume II
 Academic Press (1969) Mathematics in Science and Engineering Volume 53-II
+
 \bibitem[Lyn83]{Lyn83}
 Lyness J N,
 ``When not to use an automatic quadrature routine'' 
 SIAM Review. 25 63--87. (1983) 
+
+\subsection{M} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[MB79]{MB79}
 Saunders Mac Lane and Garret Birkhoff ``Algebra''
 AMS Chelsea Publishing ISBN 0821816462
+
 \bibitem[Mal72]{Mal72}
 Malcolm M. A. (1972) Algorithms to reveal properties of 
 floating-point arithmetic. Comms. of the ACM, 15, 949-951. 
+
 \bibitem[MS76]{MS76}
 Malcolm M A and Simpson R B,
 ``Local Versus Global Strategies for Adaptive Quadrature'' 
 ACM Trans. Math. Softw. 1 129--146. (1976) 
+
 \bibitem[Mar66]{Mar66}
 Marden M, 
 ``Geometry of Polynomials'' 
 Mathematical Surveys. 3 Am. Math. Soc., Providence, RI. (1966)
+
 \bibitem[Mar07]{Mar07}
 Marshak, U. ``HT-AJAX - AJAX framework for Hunchentoot''\\
 \verb|common-lisp.net/project/ht-ajax/ht-ajax.html|
+
 \bibitem[Mig82]{Mig82}
 Maurice Mignotte, ``Some Useful Bounds''
 Computing, Suppl. 4, 259-263 (1982), Springer-Verlag
+
 \bibitem[McC83]{McC83}
 McCarthy G J, 
 ``Investigation into the Multigrid Code MGD1'' 
 Report AERE-R 10889. Harwell. (1983)
+
 \bibitem[Min79]{Min79}
 Henryk Minc, ``Evaluation of Permanents''
 Proc. of the Edinburgh Math. Soc.(1979), 22/1 pp 27-32.
+
 \bibitem[Mil68]{Mil68}
 J. K. Millen
 ``CHARYBDIS: A LISP program to display mathematical expressions on 
 typewriter-like devices'' 
 Interactive Systems for Experimental and Applied Mathematics
 M. Klerer and J. Reinfelds, eds., Academic Press, New York 1968, pp79-90
+
 \bibitem[MGH74]{MGH74}
 More J J, Garbow B S and Hillstrom K E, 
 ``User Guide for Minpack-1'' 
 ANL-80-74 Argonne National Laboratory. (1974)
+
 \bibitem[Maz98]{Maz98}
 M. Moreno Maza ``A new algorithm for computing triangular
 decomposition of algebraic varieties'' NAG Tech. Rep. 4/98.
+
 \bibitem[MR95]{MR95}
 M. Moreno Maza and R. Rioboo 
 ``Computations of gcd over algebraic towers of simple extensions'' 
 In proceedings of AAECC11 Paris, 1995.
+
 \bibitem[Maz97]{Maz97}
 M. MORENO MAZA ``Calculs de pgcd au-dessus des tours
 d'extensions simples et resolution des systemes d'equations algebriques'' 
 These, Universite P.etM. Curie, Paris, 1997.
+
 \bibitem[Mie97]{Mie97}
 Mielenz, Klaus D. ``Computation of Fresnel Integrals'' 
 J. Res. Natl. Inst. Stand. Technol. (NIST) V102 No3 May-June 1997 pp363-365
+
 \bibitem[Mie00]{Mie00}
 Mielenz, Klaus D. ``Computation of Fresnel Integrals II'' 
 J. Res. Natl. Inst. Stand. Technol. (NIST) V105 No4 July-Aug 2000 pp589-590
+
 \bibitem[MS67]{MS67}
 Mikhlin S G and Smolitsky K L, 
 ``Approximate Methods for the Solution of Differential and Integral Equations''
 Elsevier.  (1967)
+
 \bibitem[MG80]{MG80}
 Mitchell A R and Griffiths D F, 
 ``The Finite Difference Method in Partial Differential Equations'' 
 Wiley. (1980)
+
 \bibitem[MS73]{MS73}
 Moler C B and Stewart G W,
 ``An Algorithm for Generalized Matrix Eigenproblems'' 
 SIAM J. Numer. Anal. 10 241--256. 1973
+
 \bibitem[Mul97]{Mul97}
 Thom Mulders. ``A note on subresultants and a correction to
 the lazard/rioboo/trager formula in rational function integration'' 
 {\sl Journal of Symbolic Computation}, 24(1):45-50, 1997
+
 \bibitem[Mun80]{Mun80}
 Munksgaard N,
 ``Solving Sparse Symmetric Sets of Linear Equations by Pre-conditioned 
 Conjugate Gradients'' 
 ACM Trans. Math. Softw. 6 206--219. (1980) 
+
 \bibitem[Mur72]{Mur72}
 Murray W, (ed)
 ``Numerical Methods for Unconstrained Optimization'' Academic Press. (1972) 
+
 \bibitem[MS83]{MS83}
 Murtagh B A and Saunders M A,
 ``MINOS 5.0 User's Guide''
 Report SOL 83-20. Department of Operations Research, Stanford University 1983
+
 \bibitem[Mus78]{Mus78}
 David R. Musser, ``On the Efficiency of a Polynomial Irreducibility Test''
 Journal of the ACM, Vol. 25, No. 2, April 1978, pp. 271-282
+
 \bibitem[NW78]{NW78}
 Nijenhuis and Wilf, ``Combinatorical Algorithms'' 
 Academic Press, New York 1978.
+
+\subsection{N} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Nik79]{Nik79}
 Nikolai P J
 ``Algorithm 538: Eigenvectors and eigenvalues of real generalized 
 symmetric matrices by simultaneous iteration'' 
 ACM Trans. Math. Softw. 5 118--125. (1979) 
+
+\subsection{O} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[NIST10]{NIST10}
 Olver, Frank W., Lozier, Daniel W., Boisvert, Ronald F., Clark, Charles W. (ed)
 ``NIST Handbook of Mathematical Functions'' (2010) Cambridge University
 Press ISBN 978-0-521-19225-5
+
 \bibitem[OpenM]{OpenM}
 ``OpenMath Technical Overview''\\
 \verb|www.openmath.org/overview/technical.html|
+
 \bibitem[OR70]{OR70}
 Ortega J M and Rheinboldt W C, 
 ``Iterative Solution of Nonlinear Equations in Several Variables'' 
 Academic Press. (1970)
+
 \bibitem[Ost1845]{Ost1845}
 M.W. Ostrogradsky. De l'int\'{e}gration des fractions
 rationelles. {\sl Bulletin de la Classe Physico-Math\'{e}matiques de
 l'Acae\'{e}mie Imp\'{e}riale des Sciences de St. P\'{e}tersbourg,}
 IV:145-167,286-300, 1845
+
+\subsection{P} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[PS75]{PS75}
 Paige C C and Saunders M A,
 ``Solution of Sparse Indefinite Systems of Linear Equations'' 
 SIAM J. Numer. Anal. 12 617--629. (1975) 
+
 \bibitem[PS82a]{PS82a}
 Paige C C and Saunders M A,
 ``LSQR: An Algorithm for Sparse Linear Equations and Sparse Least-squares'' 
 ACM Trans. Math. Softw. 8 43--71. (1982) 
+
 \bibitem[PS82b]{PS82b}
 Paige C C and Saunders M A,
 ``ALGORITHM 583 LSQR: Sparse Linear Equations and Least-squares Problems'' 
 ACM Trans. Math. Softw. 8 195--209. (1982) 
+
 \bibitem[Par84]{Par84}
 R. A. Parker,
 ``The Computer Calculation of Modular Characters (The Meat-Axe)''
 M. D. Atkinson (Ed.), Computational Group Theory
 Academic Press, Inc., London 1984
+
 \bibitem[Par80]{Par80}
 Parlett B N, ``The Symmetric Eigenvalue Problem''
 Prentice-Hall. 1980
+
 \bibitem[PJ10]{PJ10}
 Parnas, David Lorge and Jin, Ying
 ``Defining the meaning of tabular mathematical expressions''
 Science of Computer Programming V75 No.11 Nov 2010 pp980-1000 Elesevier
+
 \bibitem[PM95]{PM95}
 Parnas, David Lorge and Madey, Jan
 ``Functional Documents for Computer Systems''
 Science of Computer Programming V25 No.1 Oct 1995 pp41-61 Elesevier
+
 \bibitem[Paul81]{Paul81}
 Richard Paul ``Robot Manipulators''
 MIT Press 1981
+
 \bibitem[Pea56]{Pea56}
 Pearcey, T. ``Table of the Fresnel Integral''
 Cambridge University Press 1956
+
 \bibitem[Per79]{Per79}
 Pereyra V,
 ``PASVA3: An Adaptive Finite-Difference Fortran Program for First Order 
@@ -2270,373 +2888,506 @@ Codes for Boundary Value Problems in Ordinary Differential Equations.
 Lecture Notes in Computer Science.
 (ed B Childs, M Scott, J W Daniel, E Denman and P Nelson) 76
 Springer-Verlag.  (1979) 
+
 \bibitem[Pet67a]{Pet67a}
 Peters G, 
 ``NPL Algorithms Library'' 
 Document No. F2/03/A. (1967)
+
 \bibitem[Pet67b]{Pet67b}
 Peters G,
 ``NPL Algorithms Library'' 
 Document No.F1/04/A (1967) 
+
 \bibitem[PW70]{PW70}
 Peters G and Wilkinson J H,
 ``The Least-squares Problem and Pseudo-inverses'' 
 Comput. J. 13 309--316. (1970) 
+
 \bibitem[PW71]{PW71}
 Peters G and Wilkinson J H, 
 ``Practical Problems Arising in the Solution of Polynomial Equations'' 
 J. Inst. Maths Applics. 8 16--35. (1971)
+
 \bibitem[Pie82]{Pie82}
 R.S. Pierce: ``Associative Algebras''
 Graduate Texts in Mathematics 88
 Springer-Verlag,  Heidelberg, 1982, ISBN 0-387-90693-2
+
 \bibitem[Pie73]{Pie73}
 Piessens R,
 ``An Algorithm for Automatic Integration''
 Angewandte Informatik. 15 399--401. (1973) 
+
 \bibitem[PMB74]{PMB74}
 Piessens R, Mertens I and Branders M
 ``Integration of Functions having End-point Singularities'' 
 Angewandte Informatik. 16 65--68. (1974) 
+
 \bibitem[PB75]{PB75}
 Piessens R and Branders M,
 ``Algorithm 002. Computation of Oscillating Integrals'' 
 J. Comput. Appl. Math. 1 153--164. (1975) 
+
 \bibitem[PVRBM76]{PVRBM76}
 Piessens R, Van Roy-Branders M and Mertens I,
 ``The Automatic Evaluation of Cauchy Principal Value Integrals''
 Angewandte Informatik. 18 31--35. (1976) 
+
 \bibitem[PDUK83]{PDUK83}
 Piessens R, De Doncker-Kapenga E, Uberhuber C and Kahaner D
 ``QUADPACK, A Subroutine Package for Automatic Integration'' 
 Springer-Verlag.(1983) 
+
 \bibitem[Pol37]{Pol37}
 G.Polya, ``Kombinatorische Anzahlbestimmungen fur Gruppen,
 Graphen und chemische Verbindungen'', 
 Acta Math. 68 (1937) 145-254.
+
 \bibitem[Pow70]{Pow70}
 Powell M J D, 
 ``A Hybrid Method for Nonlinear Algebraic Equations'' 
 Numerical Methods for Nonlinear Algebraic Equations. 
 (ed P Rabinowitz) Gordon and Breach. (1970)
+
 \bibitem[Pow74]{Pow74}
 Powell M J D
 ``Introduction to Constrained Optimization'' 
 Numerical Methods for Constrained Optimization. 
 (ed P E Gill and W Murray) Academic Press. pp1-28. 1974
+
 \bibitem[Pow83]{Pow83}
 Powell M J D,
 ``Variable Metric Methods in Constrained Optimization'' 
 Mathematical Programming: The State of the Art. 
 (ed A Bachem, M Groetschel and B Korte) Springer-Verlag. pp288--311. 1983
+
 \bibitem[Pra73]{Pra73}
 Pratt, Vaughan R. ``Top down operator precedence''
 POPL '73 Proceedings of the 1st annual ACM SIGACT-SIGPLAN symposium on
 Principles of programming languages \\
 \verb|hall.org.ua/halls/wizzard/pdf/Vaughan.Pratt.TDOP.pdf|
+
 \bibitem[PTVF95]{PTVF95}
 Press, William H., Teukolsky, Saul A., Vetterling, William T., 
 Flannery, Brian P. ``Numerical Recipes in C''
 Cambridge University Press (1995) ISBN 0-521-43108-5
+
 \bibitem[PH77]{PH77}
 Pryce J D and Hargrave B A, 
 ``The Scale Pruefer Method for one-parameter and multi-parameter eigenvalue 
 problems in ODEs'' 
 Inst. Math. Appl., Numerical Analysis Newsletter. 1(3)  (1977)
+
 \bibitem[Pry81]{Pry81}
 Pryce J D, 
 ``Two codes for Sturm-Liouville problems''
 Technical Report CS-81-01. Dept of Computer Science, Bristol University (1981)
+
 \bibitem[Pry86]{Pry86}
 Pryce J D,
 ``Error Estimation for Phase-function Shooting Methods for 
 Sturm-Liouville Problems'' 
 J. Num. Anal. 6 103--123. (1986)
+
 \bibitem[Pu09]{Pu09}
 Puffinware LLC ``Singular Value Decomposition (SVD) Tutorial'' \\
 \verb|www.puffinwarellc.com/p3a.htm|
+
+\subsection{Q} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[QG06]{QG06}
 Gregorio Quintana-Orti and Robert van de Geijn, "Improving the
 performance of reduction to Hessenberg form," ACM Transactions on
 Mathematical Software, 32(2):180-194, June 2006.
+
+\subsection{R} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Rab70]{Rab70}
 Rabinowitz P, 
 ``Numerical Methods for Nonlinear Algebraic Equations'' 
 Gordon and Breach. (1970)
+
 \bibitem[Ral65]{Ral65}
 Ralston A,
 ``A First Course in Numerical Analysis''
 McGraw-Hill. 87--90. (1965) 
+
+\bibitem[Ram03]{Ram03}
+Maya Ramakrishnan
+``A Gentle Introduction to Lyapunov Functions''
+ORSUM August 2003\\
+\verb|www.or.ms.unimelb.edu.au/handouts/lyaptalk.1.pdf|
+
 \bibitem[Ra03]{Ra03}
 Ramsey, Norman ``Noweb--A Simple, Extensible Tool for Literate Programming''\\
 \verb|www.eecs.harvard.edu/~nr/noweb|
+
 \bibitem[Red27]{Red27}
 J.H.Redfield, ``The Theory of Group-Reduced Distributions''
 American J. Math., 49 (1927) 433-455.
+
 \bibitem[Rei67]{Rei67}
 Reinsch C H,
 ``Smoothing by Spline Functions'' 
 Num. Math. 10 177--183. (1967) 
+
 \bibitem[Ren84]{Ren84}
 Renka R L,
 ``Algorithm 624: Triangulation and Interpolation of Arbitrarily Distributed 
 Points in the Plane'' 
 ACM Trans. Math. Softw. 10 440--442. (1984) 
+
 \bibitem[RC84]{RC84}
 Renka R L and Cline A K,
 ``A Triangle-based C Interpolation Method'' 
 Rocky Mountain J. Math. 14 223--237. (1984) 
+
 \bibitem[Re93]{Re93}
 Christophe Reutenauer ``Free Lie Algebras''
 Oxford University Press, June 1993 ISBN 0198536798
+
 \bibitem[Ri10]{Ri10}
 Rich, Albert D. ``Rule-based Mathematics''\\
 \verb|www.apmaths.uwo.ca/~arich|
+
 \bibitem[RF94]{RF94}
 Richardson, Dan and Fitch, John
 ``The identity problem for elementary functions and constants''
 ACM Proc. of ISSAC 94 pp285-290 ISBN 0-89791-638-7
+
 \bibitem[RM67]{RM67}
 Richtmyer R D and Morton K W, 
 ``Difference Methods for Initial-value Problems'' 
 Interscience (2nd Edition).  (1967)
+
 \bibitem[REF-Rio92]{REF-Rio92}
 R. Rioboo 
 ``Real algebraic closure of an ordered field, implementation in Axiom'' 
 In Wang [Wan92], pp206-215 ISBN 0-89791-489-9 (soft cover)
 In proceedings of the ISSAC'92 Conference, Berkeley 1992 pp. 206-215.
 0-89791-490-2 (hard cover) LCCN QA76.95.I59 1992
+
 \bibitem[Rio96]{Rio96}
 R. Rioboo ``Generic computation of the real closure of an ordered field''
 In Mathematics and Computers in Simulation Volume 42, Issue 4-6,
 November 1996.
+
 \bibitem[Ris68]{Ris68}
 Robert Risch. ``On the integration of elementary functions
 which are built up using algebraic operations'' Research Report
 SP-2801/002/00, System Development Corporation, Santa Monica, CA, USA, 1968
+
 \bibitem[Ris69a]{Ris69a}
 Robert Risch. ``Further results on elementary functions'' 
 Research Report RC-2042, IBM Research, Yorktown Heights, NY, USA, 1969
+
 \bibitem[Ris69b]{Ris69b}
 Robert Risch, ``The problem of integration in finite terms'' 
 {\sl Transactions of the American Mathematical Society} 139:167-189, 1969
+
 \bibitem[Ris70]{Ris70}
 Robert Risch. ``The solution of problem of integration in finite terms'' 
 {\sl Transactions of the American Mathematical Society} 76:605-608, 1970
+
 \bibitem[Ris79]{Ris79}
 Robert Risch. ``Algebraic properties of the elementary functions of analysis'' 
 {\sl American Journal of Mathematics}, 101:743-759, 1979
+
 \bibitem[Ritt50]{Ritt50}
 Joseph Fels Ritt, ``Differential Algebra''
 AMS Colloquium Publications Volume 33 ISBN 978-0-8218-4638-4
+
 \bibitem[Ro72]{Ro72}
 Maxwell Rosenlicht. Integration in finite terms. 
 {\sl American Mathematical Monthly}, 79:963-972, 1972
+
 \bibitem[Ro77]{Ro77}
 Michael Rothstein. ``A new algorithm for the integration of
 exponential and logarithmic functions'' In {\sl Proceedings of the 1977
 MACSYMA Users Conference}, pages 263-274. NASA Pub CP-2012, 1977
+
+\bibitem[Rub07]{Rub07}
+Martin Rubey
+``Formula Guessing with Axiom''
+April 2007
+
 \bibitem[Rut69]{Rut69}
 Rutishauser H,
 ``Computational aspects of F L Bauer's simultaneous iteration method'' 
 Num. Math. 13 4--13.  (1969) 
+
 \bibitem[Rut70]{Rut70}
 Rutishauser H,
 ``Simultaneous iteration method for symmetric matrices'' 
 Num. Math. 16 205--223. (1970) 
+
+\subsection{S} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Sch66]{Sch66}
 R.D. Schafer ``An Introduction to Nonassociative Algebras''
 Academic Press, New York, 1966
+
 \bibitem[SW53]{SW53}
 Schoenberg I J and Whitney A,
 ``On Polya Frequency Functions III'' 
 Trans. Amer. Math. Soc. 74  246--259. (1953) 
+
 \bibitem[Sch82]{Sch82}
 A. Schoenhage, 
 ``The fundamental theorem of algebra in terms of computational complexity'' 
 preliminary report, Univ. Tuebingen, 1982
+
 \bibitem[Sch76]{Sch76}
 Schonfelder J L, 
 ``The Production of Special Function Routines for a Multi-Machine Library'' 
 Software Practice and Experience. 6(1) (1976)
+
 \bibitem[REF-SC95]{REF-SC95}
 W.M. Seiler and J. Calmet
 ``JET -- An Axiom Environment for Geometric Computations with Differential
 Equations''\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[She68]{She68}
 Shepard D, 
 ``A Two-dimensional Interpolation Function for Irregularly Spaced Data'' 
 Proc. 23rd Nat. Conf. ACM. Brandon/Systems Press Inc., 
 Princeton. 517--523. 1968
+
 \bibitem[Sims71]{Sims71}
 C. Sims ``Determining the Conjugacy Classes of a Permutation Group''
 Computers in Algebra and Number Theory, SIAM-AMS Proc., Vol. 4,
 American Math. Soc., 1991, pp191-195
+
 \bibitem[REF-Sit92]{REF-Sit92}
 William Sit, ``An Algorithm for Parametric Linear Systems''
 J. Sym. Comp., April 1992
+
 \bibitem[Smi67]{Smi67}
 Smith B T, 
 ``ZERPOL: A Zero Finding Algorithm for Polynomials Using Laguerre's Method'' 
 Technical Report. Department of Computer Science, University of Toronto,
 Canada.  (1967)
+
 \bibitem[Smi85]{Smi85}
 Smith G D, 
 ``Numerical Solution of Partial Differential Equations: Finite Difference 
 Methods'' 
 Oxford University Press (3rd Edition). (1985)
+
 \bibitem[Sob74]{Sob74}
 Sobol I M, ``The Monte Carlo Method'' The University of Chicago Press. 1974
+
 \bibitem[Ste90]{Ste90}
 Steele, Guy L. ``Common Lisp The Language'' Second Edition
 ISBN 1-55558-041-6 Digital Press (1990)
+
 \bibitem[St93]{St93}
 Stichtenoth, H. ``Algebraic function fields and codes''
 Springer-Verlag, 1993, University Text.
+
 \bibitem[Sti90]{Sti90}
 D.R.Stinson, 
 ``Some observations on parallel Algorithms for fast exponentiation 
 in $GF(2^n)$''Siam J. Comp., Vol.19, No.4, pp.711-717, August 1990
+
 \bibitem[SS66]{SS66}
 Stroud A H and Secrest D, 
 ``Gaussian Quadrature Formulas'' 
 Prentice-Hall. (1966) 
+
 \bibitem[Str71]{Str71}
 Stroud A H, ``Approximate Calculation of Multiple Integrals'' 
 Prentice-Hall 1971
+
 \bibitem[SS79]{SS79}
 Swarztrauber P N and Sweet R A, 
 ``Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial
 Differential Equations'' 
 ACM Trans. Math. Softw. 5 352--364. (1979)
+
 \bibitem[SS84]{SS84}
 Swarztrauber P N, 
 ``Fast Poisson Solvers'' 
 Studies in Numerical Analysis. (ed G H Golub) 
 Mathematical Association of America. (1984)
+
+\subsection{T} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Ta1890]{Ta1980}
 Tait, P.G.,{\it An Elementary Treatise on Quaternions} 
 C.J. Clay and Sons, Cambridge University Press Warehouse, Ave Maria Lane 1890
+
 \bibitem[Tai96]{Tai96}
 Taivalsaari, Antero ``On the Notion of Inheritance''
 ACM Computing Surveys, Vol 28 No 3 Sept 1996 pp438-479
+
 \bibitem[Tem87]{Tem87}
 Temme N M, 
 ``On the Computation of the Incomplete Gamma Functions for Large Values of 
 the Parameters'' 
 Algorithms for Approximation. (ed J C Mason and M G Cox) 
 Oxford University Press. (1987)
+
 \bibitem[Tem83a]{Tem83a}
 Temperton C, 
 ``Self-sorting Mixed-radix Fast Fourier Transforms'' 
 J. Comput. Phys. 52 1--23. (1983)
+
 \bibitem[Tem83b]{Tem83b}
 Temperton C, 
 ``Fast Mixed-Radix Real Fourier Transforms''
 J. Comput. Phys. 52 340--350. (1983)
+
 \bibitem[Tr76]{Tr76}
 Trager, Barry ``Algebraic factoring and rational function integration''
 In {Proceedings of SYMSAC'76} pages 219-226, 1976
+
 \bibitem[Tr84]{Tr84}
 Trager Barry {\sl On the integration of algebraic functions}, 
 PhD thesis, MIT, Computer Science, 1984
+
+\subsection{U} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[Unk61]{Unk61}
 Unknown ``Chebyshev-series'' Modern Computing Methods
 Chapter 8. NPL Notes on Applied Science (2nd Edition). 16 HMSO. 1961
+
+\subsection{V} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[vDDR76]{vDDR76}
 Van Dooren P and De Ridder L,
 ``An Adaptive Algorithm for Numerical Integration over an N-dimensional Cube''
 J. Comput. Appl. Math. 2 207--217. (1976) 
+
 \bibitem[REF-vH94]{REF-vH94}
 M. van Hoeij. ``An algorithm for computing an integral
 basis in an algebraic function field'' {\sl J. Symbolic Computation}
 18(4):353-364, October 1994
+
 \bibitem[Van92]{Van92}
 Van Loan C, 
 ``Computational Frameworks for the Fast Fourier Transform'' 
 SIAM Philadelphia. (1992)
+
+\subsection{W} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[WM85]{WM85}
 Wait R and Mitchell A R, 
 ``Finite Element Analysis and Application'' 
 Wiley.  (1985)
+
 \bibitem[Wang92]{Wang92}
 D.M. Wang ``An implementation of the characteristic set method in Maple''
 Proc. DISCO'92 Bath, England
+
 \bibitem[War75]{War75}
 Ward R C,
 ``The Combination Shift QZ Algorithm'' 
 SIAM J. Numer. Anal. 12 835--853. 1975
+
 \bibitem[Wa03]{Wa03}
 Watt, Stephen, ``Aldor'', \verb|www.aldor.org|
+
 \bibitem[We71]{We71}
 Andr\'{e} Weil, {\sl Courbes alg\'{e}briques et
 vari\'{e}t\'{e}s Abeliennes} Hermann, Paris, 1971
+
 \bibitem[Wein]{Wein}
 Weisstein, Eric W. ``Hypergeometric Function''
 MathWorld - A Wolfram Web Resource\\
 \verb|mathworld.wolfram.com/HypergeometricFunction.html|
+
 \bibitem[Wei03]{Wei03}
 Weitz, E. ``CL-WHO -Yet another Lisp markup language''\\
 \verb|www.weitz.de/cl-who/|
+
 \bibitem[Wei06]{Wei06}
 Weitz, E. ``HUNCHENTOOT - The Common Lisp web server
 formerly known as TBNL''\\
 \verb|www.weitz.de/hunchentoot/|
+
 \bibitem[Wes82a]{Wes82a}
 Wesseling P, 
 ``MGD1 - A Robust and Efficient Multigrid Method'' 
 Multigrid Methods. Lecture Notes in Mathematics. 960
 Springer-Verlag. 614--630. (1982)
+
 \bibitem[Wes82b]{Wes82b}
 Wesseling P, 
 ``Theoretical Aspects of a Multigrid Method'' 
 SIAM J. Sci. Statist. Comput. 3 387--407. (1982)
+
 \bibitem[Wiki3]{Wiki3}
 \verb|en.wikipedia.org/wiki/Givens_rotation|
+
 \bibitem[Wil85]{Wil85}
 S.G.Williamson, ``Combinatorics for Computer Science''
 Computer Science Press, 1985.
+
 \bibitem[WR71]{WR71}
 Wilkinson J H and Reinsch C, 
 ``Handbook for Automatic Computation II, Linear Algebra'' 
 Springer-Verlag. 1971
+
 \bibitem[Wil63]{Wil63}
 Wilkinson J H, 
 ``Rounding Errors in Algebraic Processes'' Chapter 2. HMSO. (1963)
+
 \bibitem[Wil65]{Wil65}
 Wilkinson J H, 
 ``The Algebraic Eigenvalue Problem'' Oxford University Press. (1965) 
+
 \bibitem[Wil78]{Wil78}
 Wilkinson J H,
 ``Singular Value Decomposition -- Basic Aspects'' 
 Numerical Software -- Needs and Availability. 
 (ed D A H Jacobs) Academic Press. (1978) 
+
 \bibitem[Wil79]{Wil79}
 Wilkinson J H,
 ``Kronecker's Canonical Form and the QZ Algorithm'' 
 Linear Algebra and Appl. 28 285--303. 1979
+
 \bibitem[Wis91]{Wis91}
 R. Wisbauer, ``Bimodule Structure of Algebra''
 Lecture Notes Univ. Duesseldorf 1991
+
 \bibitem[Woe80]{Woe80}
 A. Woerz-Busekros: ``Algebra in Genetics''
 Lectures Notes in Biomathematics 36, Springer-Verlag,  Heidelberg, 1980
+
 \bibitem[Wol67]{Wol67}
 Wolberg J R, ``Prediction Analysis'' Van Nostrand. (1967)
+
 \bibitem[Wo09]{Wo09}
 Wolfram Research, \verb|mathworld.wolfram.com/Quaternion.html|
+
 \bibitem[WU87]{WU87}
 W.T. Wu ``A Zero Structure Theorem for polynomial equations solving''
 MM Research Preprints, 1987
+
 \bibitem[Wynn56]{Wynn56}
 Wynn P (1956) 
 ``On a Device for Computing the $e_m(S_n )$ Transformation'' 
 Math. Tables Aids Comput. 10 91--96.
+
+\subsection{Y} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
 \bibitem[REF-You04]{REF-You04}
 Saul Youssef
 ``Prospects for Category Theory in Aldor'' October 2004\\
 \verb|axiom-wiki.newsynthesis.org/public/refs/articles.html|
+
 \bibitem[Yu76]{Yu76}
 D.Y.Y. Yun. ``On square-free decomposition algorithms''
 {\sl Proceedings of SYMSAC'76} pages 26-35, 1976
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