21. Fermat, Computer Algebra System computer algebra system that does arithmetic of arbitrarily long integers and fractions, symbolic calculations, graphics, and other numerical calculations. http://www.bway.net/~lewis/

Above graphic created with the float version of Fermat. Fermat is a computer algebra system for Macintosh, Windows, Linux, and Unix by me, Robert H. Lewis of Fordham University, that does arithmetic of arbitrarily long integers and fractions, symbolic calculations, matrices over polynomial rings, graphics, and other numerical calculations. It is extremely fast and extremely economical of space. The main version that I care most about is oriented toward polynomial and matrix algebra over the rationals Q and finite fields. On the Mac side, there is a version for OS X and versions for OS 9. There is also a "float" version for graphics. All versions are available here. Fermat is a state-of-the-art research tool for real problems. See for example: Compare Your Computer Algebra System. Take the Fermat Tests! There are now four tests. One test involves evaluation of rational functions, the second involves Smith Normal Form, the third resultants, the fourth rational function arithmetic. Fermat is shareware, $US 50. The only exception is mathematicians earning less than $US 40000 per year. Institutions must pay $US 50 per machine.

22. Mupad.de: What Is Computer Algebra? computer algebra is the next logical step after the pocket calculator. With computer algebra systems (often abbreviated as CAS), this concept of http://www.mupad.de/what_is_ca.html

Diese Seite in deutsch Home About MuPAD What is Computer Algebra? MuPAD Components ... Login Your Location: Home About MuPAD What is Computer Algebra? What is Computer Algebra? Computer Algebra is the next logical step after the pocket calculator. Calculators simplified the task of calculating with numbers. In the first step, this meant mostly the addition of long lists of numbers for bookkeeping, but the machines quickly learned to do more sophisticated computations, to the extent that by now most graduates of technical, scientific, or even mathematical departements around the world never learned how to compute trigonometric functions or logarithms without these devices. Nor will most of them ever need to know this for their daily jobs. -2x+1 equals zero, but also more advanced calculations such as finding all functions y(x) such that, for any values of the parameters a and b, the equation y'(x) + y(x)^2 + b + a*x = holds. It also includes tools for visualizing mathematical objects. Computer algebra certainly does not free the user from mathematical reasoning, but by simplifying the mechanical aspects of formula manipulation, it supports handling mathematical models, be it for engineering applications, for mathematical research, for education or any of a whole bunch of other areas. Legal notes

23. Macaulay 2 Home Page a Macaulay 2 Front End developed by Charilaos Skiadas. FrontMan, a graphical frontend to popular mathematical and computer algebra systems. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

24. Computer Algebra Research Group @ WLU CARGO specialize in researchs in Gröbner Bases, Implicitization and Parameterization of Algebraic Curves and Surfaces, Enumerating Regular MixedCell http://www.cargo.wlu.ca/

Home Research Members ECCAD 2004 ... Webmaster Computer Algebra Research Group (CARGO) was formed in May 2002. We are part of Department of Physics and Computer Science of Wilfrid Laurier University Waterloo , Ontario, Canada. Donations: CARGO acknowledges generous donations by Maplesoft Maple software Xilinx Xilinx ISE Foundation (TM) software, under the Xilinx University Program (XUP) Research: Last updated: June 29 th Design and Maintenance by MaximAlgorithms Technologies Webstat PHP Setup This web site is best viewed with CSS enabled browsers. Mozilla Firebird

25. GiNaC Is Not A CAS GiNaC is an iterated and recursive acronym for GiNaC is Not a CAS, where CAS stands for computer algebra System. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

26. RIACA: Research Institute For Applications Of Computer Algebra Research Institute for Applications of computer algebraResearch Institute for Applications of computer algebra. / About / Documentation / Download / Products / Projects / Webstart / What s New? http://www.riaca.win.tue.nl/archive/index.php

Research Institute for Applications of Computer Algebra / About ... / Documentation / Download / Products ... / Home Sorry, we have restructured our website and removed the archive. If you need more information please contact the webmaster (mriem@win.tue.nl) Quick Links / GAP / Magma / MathBook / Mathematica ... Technische Universiteit Eindhoven (TU/e).

27. Computer Algebra Group Part of the Centre for Experimental and Constructive Mathematics (CECM), Simon Fraser University, BC, Canada. Details of members, projects, meetings and publications. http://www.cecm.sfu.ca/CAG/

28. SingularHome computer algebra System for polynomial computations with special emphasis on commutative algebra, algebraic geometry, and singularity theory. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

29. REDUCE Home Page (archival Version) Version 3.8 of the REDUCE computer algebra System was released 15 April 2004. Information on this and future releases of REDUCE is now available from a http://www.uni-koeln.de/REDUCE/

The REDUCE Computer Algebra System Current Version: REDUCE 3.8 Version 3.8 of the REDUCE Computer Algebra System was released 15 April 2004. Information on this and future releases of REDUCE is now available from a dedicated website at reduce-algebra.com Information available from the current page (www.uni-koeln.de/REDUCE/) contains archival information on older versions of REDUCE, and is being offered to support those who may still be running older versions of REDUCE. Previous Versions Version 3.7 of REDUCE was released on April 30th, 1999. Please see the announcement by Tony Hearn and the documentation for the new version. The REDUCE Homepage of ZIB also includes much more information on the current version of REDUCE. There is also a Y2K compliance statement for REDUCE 3.7. REDUCE 3.6 Table of Contents Introduction General Information Ordering Information Demonstration Versions ... About the REDUCE Home Page Introduction REDUCE is an interactive program designed for general algebraic computations of interest to mathematicians, scientists and engineers. Its capabilities include: expansion and ordering of polynomials and rational functions;

30. CoCoA System A specialpurpose system for computations in Commutative Algebra. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

31. The Yacas Computer Algebra System YACAS is an easy to use, general purpose computer algebra System, a program for symbolic manipulation of mathematical expressions. http://yacas.sourceforge.net/yacas.html

YACAS is an easy to use, general purpose Computer Algebra System, a program for symbolic manipulation of mathematical expressions. It uses its own programming language designed for symbolic as well as arbitrary-precision numerical computations. The system has a library of scripts that implement many of the symbolic algebra operations; new algorithms can be easily added to the library. YACAS comes with extensive documentation (320+ pages) covering the scripting language, the functionality that is already implemented in the system, and the algorithms we used. This entire site (including the documentation) can also be found in the source code distribution . Yacas can also be used on line as a Java applet

32. William W. Adams University of Maryland. Groebner bases; computer algebra. http://www.math.umd.edu/~wwa/

William W. Adams Professor Emeritus in the Department of Mathematics University of Maryland College Park, MD 20742-4015 Office Room 3107 Office Phone: (301) 405-5128 E-mail: wwa@math.umd.edu Office hours By appointment. Grobner Basis Minicourse: Spring 2005 Lecture I: Definitions Lecture II: Applications Bibliography University and Departmental activity CMPS Coordinator for Middle States Accreditation, see the University website on Learning Outcomes. Professional activity Member of the American Mathematical Society (AMS) Member of the Mathematical Association of America (MAA) Member of the Association for Women in Mathematics (AWM) Research interests My current research interests are Groebner Bases and Computer Algebra. Some recent papers are: Some Results on Grobner Bases over Commutative Rings (with A.K. Boyle) Transitivity for Weak and Strong Grobner Bases (with A.K. Boyle and P. Loustaunau) Lifting Standard Bases in Filtered Structures (with P. Loustaunau) Grobner Bases and Primary Decomposition in Polynomial Rings in One Variable over Dedekind Domains (with P. Loustaunau) Regular Functions of Several Quaternionic Variables and the Cauchy-Fueter Complex (with C.A.Berenstein, P. Loustaunau, I. Sabadini, D.C. Struppa)

33. REDUCE Home Page (archival Version) The REDUCE computer algebra System http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

34. Computational Physics Simulation and modelling are usually taught by stressing numerical techniques this course focuses on using symbolic or computer algebra in particular, using Mathematica. http://physics.uwa.edu.au/Physics/Courses/Third_Year/Computational_Physics.html

35. Computer Algebra System - Wikipedia, The Free Encyclopedia A computer algebra system (CAS) is a software program that facilitates symbolic The study of algorithms useful for computer algebra systems is known as http://en.wikipedia.org/wiki/Computer_algebra_system

Computer algebra system From Wikipedia, the free encyclopedia. A computer algebra system (CAS) is a software program that facilitates symbolic mathematics . The core functionality of a CAS is manipulation of mathematical expressions in symbolic form. Contents Types of expressions Symbolic manipulations Other features History ... edit Types of expressions The expressions manipulated by the CAS typically include polynomials in multiple variables; standard functions of expressions (sine, exponential, etc.); various special functions (gamma, zeta, erf, Bessel, etc.); arbitrary functions of expressions; derivatives, integrals, sums, and products of expressions; truncated series with expressions as coefficients, matrices of expressions, and so on. (This is a recursive definition.) edit Symbolic manipulations The symbolic manipulations supported typically include simplification , including automatic simplification and simplification with assumptions substitution of symbolic or numeric values for expressions change of form of expressions: expanding products and powers, rewriting as partial fractions, rewriting trigonometric functions as exponentials

36. Category:Computer Algebra Systems - Wikipedia, The Free Encyclopedia A computer algebra system (CAS) is a software program that facilitates symbolic mathematics. Typically, these systems include http://en.wikipedia.org/wiki/Category:Computer_algebra_systems

Category:Computer algebra systems From Wikipedia, the free encyclopedia. A computer algebra system (CAS) or symbolic computation system is a system of software packages that facilitates symbolic mathematics . Typically, these systems include arbitrary precision ( bignum ) arithmetic, allowing for instance to evaluate pi to 10,000 digits. symbolic manipulation engine, to simplify algebraic expressions, differentiate and integrate functions and solve equations graphing facility, to produce graphs of functions, typically in two and three dimensions linear algebra subsystem, to allow matrix computations and solving of systems of linear equations high level programming language , allowing users to implement their own algorithms More advanced examples usually include more sophisticated tools, including Gr¶bner basis packages for manipulating ideals in polynomial rings , which is essential for many advanced real-world applications involving differential equations robotics , and so forth, as well as packages for working at a high level with vectors and tensors Articles in category "Computer algebra systems" There are 25 articles in this category.

37. The History Of The Calculus And The Development Of Computer Algebra Systmes Discusses development of integral and derivative calculus from the 17th century. Features contributions by key western civilization mathematicians. Includes examples of selected problems and how they were originally solved in earlier times. Also, covers the historic background to computer algebraic systems. http://www.math.wpi.edu/IQP/BVCalcHist/calctoc.html

The History of the Calculus and the Development of Computer Algebra Systems Introduction History of the Integral from the 17 th Century ... Conclusions A. Bibliography Return to the Main Page

38. ECCAD 2001 East Coast Computer Algebra Day Florida State University, Tallahassee, Florida, USA; 5 May 2001. http://www.math.fsu.edu/eccad01/

ECCAD , East Coast Computer Algebra Day, is an annual conference that provide opportunities to learn and share new developments and to present research results in the areas of symbolic mathematical computation. T H E M E S T O B E C O V E R E D: Algebraic Algorithms Hybrid Symbolic-Numeric Computation Computer Algebra Systems and Generic Programming Mathematical Communication Complexity of Algebraic Problems eccad01@math.fsu.edu Registered Participants Titles of Posters G E N E R A L I N F O R M A T I O N Please Note: The weekend of May 5th, Tallahassee Legislature will be in session and FSU and FAMU will be hosting International Conferences. . Tallahassee Regional Airport is small and limited. Please do not wait long making air reservations. R E G I S T R A T I O N: Fill out the following registration form and e-mail it to: eccad01@math.fsu.edu C O N F E R E N C E L O C A T I O N: Turnbull Conference Center at Florida State University in Tallahassee Florida D I R E C T I O N S: Interactive Campus Map Turnbull Florida State Conference Center P A R K I N G: Parking is available across the street of the Turnbull Conference Center at the Civic Center Parking lot.

39. GWDG: Webseite Nicht Gefunden Mathematics Archives Topics in Mathematics - computer algebracomputer algebra / Cryptology Genetic Algorithms Bibliography of the CATHODE (computer algebra Tools for Handling Ordinary Differential Equations) http://www.gwdg.de/~cais/

Zugriff verweigert ... Liebe Leserin, lieber Leser! Dieses Web-Angebot liegt nicht im Verantwortungsbereich der GWDG, sondern es handelt sich hierbei um die Homepages der einzelnen Benutzer. Die gewünschte Webseite ist nun nicht erreichbar. Der Grund hierfür könnte darin liegen, dass der betreffende Nutzer kein Webangebot (mehr) hat oder aber den Zugriff darauf mit Absicht oder unabsichtlich beschränkt hat. Das WWW-Team WWW-Team

40. Computer Algebra In Mathematics Education An open international organisation for those interested in the use of computer algebra software in mathematics education. http://ltsn.mathstore.ac.uk/came/

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