Maple
General Information
Maple at Universities
Research Groups
- Symbolic
Computation Group, University of Waterloo.
- Wissenschaftliches
Rechnen, ETH.
- Maple
V Symbolic Manipulation Group, MIT.
- Centre for
Experimental and Constructive Mathematics, Simon Fraser University.
- Symbolic Computation, Deakin.
- Projet
EURECA, INRIA Lorraine, Nancy.
- Project
Algorithms, INRIA Rocquencourt.
- SAFIR
(Syst?mes Algébriques Formels pour l'Industrie et la Recherche), INRIA
Sophia-Antipolis.
- Groupe de Calcul Formel, LACO (Laboratoire d'Arithmétique, de Calcul
Formel et d'Optimisation), Université de Limoges.
- Equipe
CALCUL FORMEL, LMC (Laboratoire de Modélisation et Calcul), IMAG (Institut
d'Informatique et de Mathématiques Appliquées de Grenoble).
- Groupe Calcul Formel, IREM (Institut de Recherche sur l'Enseignement des
Mathématiques). Université Joseph Fourier - Académie de Grenoble.
- Groupe
Calcul Formel, IREM, Université de Picardie Jules Verne.
- CSO
(Computer Algebra division). Université Libre de Bruxelles.
- CAG
(Computational Algebra and Geometry). Department of Mathematics, Statistics and
Computation, Universidad de Cantabria.
- Symbolic
Computation Group, Theoretical Physics Department, UERJ (Universidade do Estado do Rio
de Janeiro). (Mirror site at the
University of Waterloo).
Personal Pages
Tutorials
Learning Maple
- Curso de
Maple V R3. Laboratório de Computaç?o Algébrica e Simbólica, UFSC (Universidade
Federal de Santa Catarina).
- Introduction
to Maple V Release 3. Scientific Computing. University at Buffalo. State University of
New York.
- Cours de
Calcul Symbolique . Service de Calcul Symbolique par Ordinateur, Université Libre de
Bruxelles.
- Algorithms for
Computer Algebra. Author: Robert Corless. The University of Western Ontario. London,
Canada.
- CalcLabs with Maple V. Authors: Albert Boggess, David Barrow, Art
Belmonte, Samia Massoud, Jeff Morgan, Maurice Rahe, Michael Stecher and Phil Yasskin.
Department of Mathematics, Texas A&M University.
- Ein
interaktiver Kurs zum Computeralgebrasystem Maple. Authors: Stephanie Hinrichs and
Dietmar Stövesand. Universität Hannover.
Packages
- GRTensor.
A package for the calculation and manipulation of the components of tensors and related
objects. Authors: Peter Musgrave, Denis Pollney and Kayll Lake. Department of Physics,
Queen's University.
- Riemann. Tools to manipulate tensors through their components and
applications to General Relativity Theory. Authors: Renato Portugal and Sandra L. Sautu.
CBPF (Centro Brasileiro de Pesquisas Fisicas). Rio de Janeiro, Brazil. (also at CBPF by FTP).
- nullrot. Package for exploring the null tetrad in General Relativity.
Author: Sasha Cyganowski. Deakin University.
- orbitals.
Procedures to compute real and complex spherical harmonics. Author: Herbert H. H.
Homeier.
- LIENARD. Resolution of many particle electrodynamics by symbolic
manipulation. Authors: T.C. Scott, R.A. Moore and M.B. Monagan.
- HIP.
Packages for symbolic calculation of Feynman diagrams. Authors: Alexander Hsieh and Eran
Yehudai.
- PDEtools.
A package for the analytical solving of partial differential equations. Authors: E.S.
Cheb-Terrab and K. von Bulow. UERJ (U. Waterloo mirror).
- ODE
tools. A set of routines for the analytical solving of ODEs, using classification and
Lie group symmetry methods. Authors: E.S.Cheb-Terrab, L.G.S. Duarte and L.A.C da Mota.
UERJ (U. Waterloo mirror).
- DEQ.
Programmen zur Bearbeitung, Analyse, Klassifikation und Konstruktion von linearen
Differentialgleichungen im Komplexen. Author: Volker Dietrich. RWTH Aachen.
- DESIR. Formal solutions of linear differential and difference equations.
Author: Eckhard Pfluegel. LMC-IMAG Grenoble.
- NODES. Non linear Ordinary Differential Equations Solver. Author: Marco
Codutti. Université Libre de Bruxelles.
- ODE2. A package for solving and visualizing ordinary differential
equations. Author: Daniel Schwalbe. Dept. of Math/CS, Macalester College, St. Paul.
- shoot.
Shooting method for two-point boundary value problems. Author: Douglas B. Meade.
- FORM. Procedures for obtaining information about analytic systems of
PDEs and ODEs. Authors: Gregory J. Reid and Allan D. Wittkopf.
- symmetry.
A package to implement symmetry calculations for DEs. Author: Mark Hickman. University of
Canterbury. New Zealand.
- GLie. A program for Lie supersymmetries of Grassmann-valued differential
equations. Author: M.A. Ayari. Departement de Physique and Centre de Recherches
Mathematiques, Universite de Montreal.
- stochastic. Package for Stochastic Differential Equations. Author: Sasha
Cyganowski.
- Poincare.
A package for plotting Poincare sections of Hamiltonian (dynamical) systems. Author: E.S.
Cheb-Terrab. UERJ (U.
Waterloo mirror).
- LIESER. A program for the generation of the Lie-series solution of
systems of non-linear ordinary differential equations. Author: J. Rodriguez.
- crystal. A Package on decomposing tensor products of finite dimensional
representations of simple Lie algebras using crystal bases. Authors: David Joyner, Roland
Martin. Mathematics Department, United States Naval Academy.
- symmetry. A package for computation of invariants and equivariants.
Author: Karin Gatermann. ZIB.
- Grassmann.
A package for symbolic computing with anti-commutative and non-commutative variables.
Author: E.S. Cheb-Terrab. UERJ (U. Waterloo mirror).
- CLIFFORD.
A package for Clifford Algebra Computations. Author: Rafal Ablamowicz. Gannon University
Erie, Pennsylvania.
- Quaterman.
A package designed for manipulation of symbolic expressions involving quaternions.
Authors: Patrick Capolsini, Stephane Dalmas and Yves Papegay.
- partials.
A package for evaluating partial and functional derivatives of tensor functions. Author:
E.S. Cheb-Terrab. UERJ (
U. Waterloo mirror).
- Vecalc.
A package for doing algebraic and differential calculus with symbolic vector functions
(not matrices) in curvilinear coordinates. Author: E.S. Cheb-Terrab. UERJ. (U. Waterloo mirror).
- vec_calc. A vector calculus package. Authors: Arthur Belmonte and Philip
B. Yasskin. Department of Mathematics, Texas A&M University.
- curvcoord.
A package for curvilinear coordinates. Author: Douglas B. Meade. Department of
Mathematics, University of South Carolina.
- PATHINT.
A package for evaluating integrals along a path in n-dimensional cartesian coordinates.
Author: Joseph Riel.
- allsolve. Finds floating-point approximations to all roots of an
expression in a closed finite interval. Author: Robert Israel.
- math.
This package includes both high-school level mathematical procedures and some utilities.
Author: Alexander Walz. RWTH.
- CalcP.
A calculus package. Authors: Bill Farr and Michael VanGeel.
- calcplot A package for ploting in multivariable calculus. Author: Tim
Murdoch. Washington and Lee University. (another site).
- mvcal2. An updated version of calcplot. Authors: C. K. Cheung, Tim
Murdoch and G. E. Keough. Department of Mathematics, Boston College. (worksheet with examples).
- pencils. A package for computations on matrix pencils. Authors: M.P.
Quere and G. Villard. LMC IMAG.
- Daub.
A package for dealing with wavelet functions. Author: Jacques Ge'linas.
- SF. A package for computations involving symmetric functions and related
structures. Author: John Stembridge. University of Michigan.
- posets. A
package for computations involving partially ordered sets and related structures. Author:
John Stembridge. University of Michigan.
- coxeter &
weyl. Two packages that provide assistance in the study of root systems and finite
Coxeter groups. Author: John Stembridge. University of Michigan.
- ACE. A
library devoted to Algebraic Combinatorics computations. Author: Sebastien Veigneau.
Université de Marne-la-Vallée.
- moregroebner. An improvement of the Maple package grobner. Author: Karin
Gatermann. ZIB.
- pnoether. Projective Noether Package - a Maple package for fast
computation of upper bounds on the dimension of projective varieties. Authors: M.Giusti,
G.Lecerf, J.Marchand, B.Salvy. Ecole Polytechnique, Paris.
- combstruct.
Combinatorial structures package. Authors: Eithne Murray and Paul Zimmermann.
- gfeqns.
Function to find the system of generating functions for combstruct grammars. Author:
Eithne Murray.
- luo.
System for the analysis of algorithms. Authors: Bruno Salvy and Paul Zimmermann.
INRIA.
- gfun.
Generating functions package. Authors: Bruno Salvy, Paul Zimmermann and Eithne Murray.
INRIA.
- Mgfun.
Multi-variate generating functions package. Author: Frédéric Chyzak.
- fullparfrac.
Full partial fraction decomposition. Author: Bruno Salvy. INRIA, Roquencourt.
- gdev.
Series expansion and limits. Author: Bruno Salvy. INRIA, Roquencourt.
- rec2ortho. Procedure which uses the coefficients of a three-term
recurrence relation and returns the explicit system of orthogonal polynomials satisfying
these relations. Authors: Tom H. Koornwinder and Rene F. Swarttouw. RIACA.
- OrePoly.
Ore Polynomials. Author: Bruno Salvy. INRIA, Roquencourt.
- OrePoly. Implementation of Univariate Skew Polynomials. Author: Thom
Mulders.
- Lodo. Implementation of Linear Ordinary Differential Operators. Author:
Thom Mulders.
- pade2.
Pade-hermite approximates. Author: Bruno Salvy. INRIA, Roquencourt.
- LEVIN. Programs for converting series expansions to rational functions
using the Levin transformation. Author: J. Grotendorst.
- BH. Approximating functions by means of symbolic computation and a
general extrapolation method. Author: J. Grotendorst.
- TRANS. A package for transforming series, sequences and functions.
Author: J. Grotendorst.
- simpcomb,
code. Software for the generation
of recurrence and differential equations for sums and integrals. Author: Wolfram Koepf.
ZIB.
- SCHUTZENBERGER.
Package that treats algebraic and other formal power series. Author: Doron
Zeilberger.
- EKHAD. Package for proving binomial coefficients and other types of
identities. Author: Doron Zeilberger.
- qEKHAD.
Package for proving q-binomial coefficients identities. Author: Doron Zeilberger.
- GOULSON.
Goulden-Jackson method for finding the generating function for the number of words in a
given alphabet that avoid, as (consecutive) subwords, a given list of `mistakes'. Author:
Doron Zeilberger.
- LUC. Explicit formula for the Jack polynomials. Author: Doron
Zeilberger.
- SYLVESTER.
Implementation of Sylvester's enhancement of Tchebychev's method for finding lower and
upper bounds for psi(x)/x. Author: Doron Zeilberger.
- CASA. Computer Algebra Software for Algebraic Geometry. Research
Institute for Symbolic Computation, Johannes Kepler University. Austria.
- IntBasis. A package which contains a number of algorithms for computing
with algebraic curves. Author: Mark van Hoeij. University of Nijmegen. The
Netherlands.
- Sophia.
Toolkit For Doing Mechanics. Author: Martin Lesser. Royal Institute of Technology.
Stockholm.
- Mascotte.
Routines to simplify the implementation of software modules in vision and robotics.
Author: Thierry Viéville. INRIA.
- SYRUP.
A Symbolic Circuit Analyzer. Author: Joseph Riel.
- SCHEME.
An electronic circuit drawing tool. Author: Joseph Riel.
- IEEE.
Package for converting Maple numbers to and from IEEE binary floating-point format
(IEEE754 standard). Author: Joseph Riel.
- LINSYS. Linear Systems Toolbox. Author: Tony Richardson. Duke
University.
- kinetics. Symbolic and numerical computing for chemical reactions.
Authors: Mark H. Holmes, Yuklun Au and J. W. Stayman.
Documents and Reviews
Worksheets
Integration with other packages
- Matlab. Symbolic Math Toolbox. Mathworks.
- Scilab. Numerically evaluate any Maple expression in Scilab. Scilab
Group. INRIA-Rocquencourt.
- Scientific WorkPlace Mathematical computations within LaTeX
wordprocessor. TCI.
- m2p.
Maple to Povray
- Making
Illustrations with Maple. Maple to Geomview. The Geometry Center.
- Splice. Symbolic circuit analyzer. CaaGE Software.
- MapleForm. Mathematica-Maple converter. Mathematisches Institut (Math.
Physik) der Justus-Liebig-Universitaet Giessen.
- Format. A package which provides a basic expression translator from
Mathematica to Maple (html
documentation). Author: M. Sofroniou. Dipartimento di Matematica, Universitá degli
Studi di Bologna, Italia.
- Izic.
3D graphic tool driven by computer algebra systems. Author: R. Fournier.
- MICMAC. Bridge between Maple and Macaulay. Author: B. Mourrain.
- CAS/PI. Experimental user interface and distributed architecture for
computer algebra systems. Author: Norbert Kajler.
Teaching with Maple
FTP Sites
Books
- Maple Books in English. MIT.
- Maple Books in German. MIT.
- Books about Maple. University of Frankfurt.
- Maple
V Learning Guide. Authors: K. M. Heal, M. L. Hansen, and K. M. Rickard. Publisher:
Springer-Verlag.
- Maple
V Programming Guide. Authors: M. B. Monagan, K. O. Geddes, K. M. Heal, G. Labahn, and
S. Vorkoetter. Publisher: Springer-Verlag.
- The
Maple Handbook. Author: Darren Redfern. Publisher: Springer-Verlag.
- CalcLabs with Maple V. Authors: Albert Boggess, David Barrow, Arthur
Belmonte, Samia Massoud, Jeffery Morgan, Maurice Rahe, Michael Stecher, Phillip Yasskin.
Publisher: Brooks/Cole.
- Algebraic
Approach to Simple Quantum Systems: with Applications to Perturbation Theory. Author:
Barry G. Adams. Publisher: Springer-Verlag.
- Calcul
formel : Mode d'emploi -- Exemples en Maple. Authors: Claude Gomez, Paul Zimmermann
and Bruno Salvy. Publisher: Masson.
- COMPLEX
ANALYSIS: for Mathematics and Engineering. Authors: John H. Mathews and Russell W.
Howell. Publisher: Jones and Bartlett Publishers Inc.
- The Practical Approach Utilities For Maple. Authors: Darren Redfern and
Dave Doherty. Publisher: Springer-Verlag.
- The Analysis of Complex Nonlinear Mechanical Systems: a computer algebra
assisted approach. Author: Martin Lesser. Publisher: World Scientific.
- Multivariable Mathematics with Maple. Authors: Jim Carlson and Jennifer
Johnson. Publisher: Prentice-Hall.
- Rechnen und Programmieren mit Release 4. Author: Alexander Walz.
Publisher: Oldenbourg Technik.
Other link lists
Web Interface
Lists dealing with Maple
Projects
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