Jürgen Gerhard, Walter Oevel

MuPAD Tutorial

• Broschiertes Buch

Produktbeschreibung

This version and platform independend tutorial explains the basic tools and main features of MuPad and their use. The mathematical applications that are mentioned in the text are intentionally kept on a rather elementary level to keep this text plain for readers with little mathematical background. 88 exercises with fully worked out solutions as well as many examples help the beginner to deepen his knowledge on the system functions, graphics, and programming lanugage.

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This book explains the basic use of the software package called MuPAD and gives an insight into the power of the system. M u PAD is a so-called computer algebra system, which is developed mainly at the University of Paderborn in Germany. This introduction addresses mathematicians, engineers, computer scientists, natural scientists, and more generally all those in need of mathematical computations 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 appro priate functions. They comprise the system's mathematical intelligence and may implement sophisticated algorithms. Chapters 2 through 15 discuss this way of using MuPAD. On the other hand, with the help of MuPAD's programming lan guage 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 appropriate system functions exist. Chap ters 16 through 18 are an introduction to programming in MuPAD. You can now read this book in the standard way "linearly" from the first to the last page. However, there are reasons to proceed otherwise.

Produktdetails

• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-67546-4
• 2000
• Seitenzahl: 376
• Erscheinungstermin: 6. Juli 2000
• Englisch
• Abmessung: 235mm x 155mm x 21mm
• Gewicht: 504g
• ISBN-13: 9783540675464
• ISBN-10: 3540675469
• Artikelnr.: 24506520

Inhaltsangabe

1.Introduction.- 1.1 Numerical Computation.- 1.2 Computer Algebra.- 1.3 Characteristics of Computer Algebra Systems.- 1.4 Existing Systems.- 1.5 MuPAD.- 2 First Steps in MuPAD.- 2.1 Explanations and Help.- 2.2 Computing with Numbers.- 2.3 Symbolic Computation.- 3 The MuPAD Libraries.- 3.1 Information About a Particular Library.- 3.2 Exporting Libraries.- 3.3 The Standard Library.- 4 MuPAD Objects.- 4.1 Operands: the Functions op and nops.- 4.2 Numbers.- 4.3 Identifiers.- 4.4 Symbolic Expressions.- 4.5 Sequences.- 4.6 Lists.- 4.7 Sets.- 4.8 Tables.- 4.9 Arrays.- 4.10 Boolean Expressions.- 4.11 Strings.- 4.12 Functions.- 4.13 Series Expansions.- 4.14 Algebraic Structures: Fields, Rings, etc.- 4.15 Vectors and Matrices.- 4.16 Polynomials.- 4.17 Null Objects: null(), NIL, FAIL, and undefined.- 5 Evaluation and Simplification.- 5.1 Identifiers and Their Values.- 5.2 Complete, Incomplete, and Enforced Evaluation.- 5.3 Automatic Simplification.- 6 Substitution: subs, subsex, and subsop.- 7 Differentiation and Integration.- 7.1 Differentiation.- 7.2 Integration.- 8 Solving Equations: solve.- 8.1 Polynomial Equations.- 8.2 General Equations.- 8.3 Differential and Recurrence Equations.- 8.4 solve in MuPAD Versions Beyond 1.4.- 9 Manipulating Expressions.- 9.1 Transforming Expressions.- 9.2 Simplifying Expressions.- 9.3 Assumptions About Symbolic Identifiers.- 10 Chance and Probability.- 11 Graphics.- 11.1 Graphs of Functions.- 11.2 Graphical Scenes.- 11.3 Curves.- 11.4 Surfaces.- 11.5 Further Possibilities.- 11.6 Printing and Saving Graphics.- 12 The History Mechanism.- 13 Input and Output.- 13.1 Output of Expressions.- 13.2 Reading and Writing Files.- 14 Utilities.- 14.1 User-Defined Preferences.- 14.2 Information on MuPAD Algorithms.- 14.3 Restarting a MuPAD Session.- 14.4 Executing Commands of the Operating System.- 15 Type Specifiers.- 15.1 The Functions type and testtype.- 15.2 Comfortable Type Checking: the Type Library.- 16 Loops.- 17 Branching: if-then-else and case.- 18 MuPAD Procedures.- 18.1 Defining Procedures.- 18.2 The Return Value of a Procedure.- 18.3 Returning Symbolic Function Calls.- 18.4 Local and Global Variables.- 18.5 Subprocedures.- 18.6 Type Declaration.- 18.7 Procedures with a Variable Number of Arguments.- 18.8 Options: the Remember Table.- 18.9 Input Parameters.- 18.10 Evaluation Within Procedures.- 18.11 Function Environments.- 18.12 A Programming Example: Differentiation.- 18.13 Programming Exercises.- Solutions to Exercises.- Documentation and References.

Rezensionen

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)