MuPAD Tutorial

1. Front Matter

   Pages i-xiii

   PDF

2. Introduction

   • Christopher Creutzig, Walter Oevel

   Pages 1-5

3. First Steps in MuPAD

   • Christopher Creutzig, Walter Oevel

   Pages 7-33

4. The MuPAD Libraries

   • Christopher Creutzig, Walter Oevel

   Pages 35-39

5. MuPAD Objects

   • Christopher Creutzig, Walter Oevel

   Pages 41-124

6. Evaluation and Simplification

   • Christopher Creutzig, Walter Oevel

   Pages 125-134

7. Substitution: subs, subsex, and subsop

   • Christopher Creutzig, Walter Oevel

   Pages 135-139

8. Differentiation and Integration

   • Christopher Creutzig, Walter Oevel

   Pages 141-145

9. Solving Equations: solve

   • Christopher Creutzig, Walter Oevel

   Pages 147-157

10. Manipulating Expressions

    • Christopher Creutzig, Walter Oevel

    Pages 159-178

11. Chance and Probability

    • Christopher Creutzig, Walter Oevel

    Pages 179-184

12. Graphics

    • Christopher Creutzig, Walter Oevel

    Pages 185-268

13. The History Mechanism

    • Christopher Creutzig, Walter Oevel

    Pages 269-271

14. Input and Output

    • Christopher Creutzig, Walter Oevel

    Pages 273-278

15. Utilities

    • Christopher Creutzig, Walter Oevel

    Pages 279-284

16. Type Specifiers

    • Christopher Creutzig, Walter Oevel

    Pages 285-289

17. Loops

    • Christopher Creutzig, Walter Oevel

    Pages 291-294

18. Branching: if-then-else and case

    • Christopher Creutzig, Walter Oevel

    Pages 295-300

19. MuPAD Procedures

    • Christopher Creutzig, Walter Oevel

    Pages 301-333

20. Back Matter

    Pages 335-412

    PDF

This book explains the basic use of the software package called MuPAD and gives an insight into the power of the system. MuPAD is a so-called com­ puter algebra system, which is developed mainly by Sciface Software and the MuPAD Research Group of the University of Paderborn in Germany. This introduction addresses mathematicians, engineers, computer scientists, natural scientists and, more generally, all those in need of mathematical com­ putations for their education or their profession. Generally speaking, this book addresses anybody who wants to use the power of a modern computer algebra package. There are two ways to use a computer algebra system. On the one hand, you may use the mathematical knowledge it incorporates by calling system functions interactively. For example, you can compute symbolic integrals or generate and invert matrices by calling appropriate functions. They comprise the system's mathematical intelligence and may implement sophisticated al­ gorithms. Chapters 2 through 15 discuss this way of using MuPAD. On the other hand, with the help of MuPAD's programming language, you can easily add functionality to the system by implementing your own algorithms as MuPAD procedures. This is useful for special purpose applications if no ap­ propriate system functions exist. Chapters 16 through 18 are an introduction to programming in MuPAD.

• Computer Algebra
• Computer Visualization
• Mathematical and Computative Methods
• Scientific Computing
• Symbolic Computing
• algebra
• algorithms
• Approximation
• computer algebra
• computer algebra system
• differential equation
• intelligence
• operating system
• operator
• programming
• programming language
• scientific computing
• software
• transformation
• visualization

From the reviews of the second edition:

"The software package MuPAD is a computer algebra system that allows to solve computational problems in pure mathematics … . The turotial explains the basic use of the system and gives insight into its power. … Many examples and exercises illustrate how to use the system’s functions, the graphics, and the programming language." (Zentralblatt für Didaktik der Mathematik, November, 2004)

• Fakultät EIM-M, Universität Paderborn, Paderborn, Germany

  Christopher Creutzig

• SciFace Software GmbH & Co.KG, Paderborn, Germany

  Walter Oevel

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