Mupad – multi processing algebra data tool

Members of the academic sector may obtain the MuPAD software through the authors free of charge. MuPAD (Multi Processing Algebra Data Tool) is a parallel-processing general purpose computer algebra system, designed to tackle complex mathematical problems in mathematics, science, and engineering. Special care in the development of MuPAD has been taken over modern interfaces (graphics tool, hypertext system, and interactive debugger) to provide the user with a considerable ease-of-use. MuPAD is equally attractive for students, teachers, and scientists, and available on Unix workstations as well as for computers of the Macintosh family. This tutorial gives an introduction to MuPAD and is addressed to beginners in computer algebra as well as advanced users. Experience with other computer algebra packages is useful but not necessary to understand most of the book. The tutorial encourages a user to get to know MuPAD through 'learning by doing'. Contents 1. Preface 2. A sample session 2.1 Simple arithmetic 2.2 Number theory 2.3 Roots and transcendental numbers 2.4 Expressions and Identifiers 2.5 Polynomials 2.6 The sequence operator $ 2.7 Data Types 2.8 Domains 2.9 Data Structures 2.10 Evaluation 2.11 Programming 2.12 Input, Output, Files, and Text 2.13 Graphics 2.14 Errors and Debugger 2.15 The Profiler 2.16 Underline functions 2.17 Functional Environments 2.18 Program Manipulation 3. Programs 3.1 Some Tips and Tricks 3.1.1 A non commutative Product 3.1.2 Evalassign and FUNC 3.2 More sample Programs 3.2.1 A user defined differential Procedure 3.2.2 Polynomials 3.2.2.1 Heuristic GCD 3.2.2.2 Orthogonal Polynomials 3.2.3 Combinatorics: Permutations 3.2.4 Sorting 3.2.5 Graphs 3.2.5.1 Shortest Paths 3.2.5.2 Matching 3.2.6 Domains 3.2.6.1 Domain Generator 3.2.6.2 Extension of the real numbers by infinity and -infinity 3.2.7 Data Manipulation: Flattening 3.2.8 Fast Fourier Transformation 4. MuPAD - A Summary 4.1 The MuPAD Language in brief 4.2 Evaluation of expressions 4.2.1 MuPAD expressions 4.2.2 Evaluation of expressions 4.2.3 Execution of MuPAD-Procedures 4.2.4 Execution of System Functions 4.2.5 The Substitution Depth 4.2.6 Control of the Substitution Depth 4.2.7 Fine Comtrol of Evaluation 5. Tools and User Interfaces 5.1 Graphical User Interfaces under X-Windows 5.1.1 XMuPAD 5.1.2 HyTEX 5.1.2.1 HyTEX-Window 5.1.2.2 Help Pages 5.1.3 Debugging in MuPAD - mdx 5.1.4 VCam - The interactive MuPAD graphics 6. List of functionality items provided by the system Index