Programming in Mathematica / Edition 3

Programming in Mathematica / Edition 3

by Roman Maeder
     
 

This revised and expanded edition of the standard reference on programming in Mathematica addresses all the new features in the latest Version 3 of the software. The support for developing larger applications has been improved, and the book now discusses the software engineering issues related to writing and using larger programs in Mathematica. As before, Roman

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Overview

This revised and expanded edition of the standard reference on programming in Mathematica addresses all the new features in the latest Version 3 of the software. The support for developing larger applications has been improved, and the book now discusses the software engineering issues related to writing and using larger programs in Mathematica. As before, Roman Maeder, one of the original authors of the Mathematica system, explains how to take advantage of its powerful built-in programming language.

New topics in this edition include:

  • The programmable front-end;
  • The language for typesetting mathematical expressions and the treatment of exact numerical quantities;
  • A completely developed larger application, iterated function systems. This code allows readers to explore the fascinating world of chaos and fractals with Mathematica.

Current users of Mathematica, Version 2, and new users of Version 3 will benefit alike from this up-to-date reference to Mathematica programming.

020185449XB04062001

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Product Details

ISBN-13:
9780201854497
Publisher:
Addison-Wesley
Publication date:
12/16/1996
Edition description:
3rd ed
Pages:
384
Product dimensions:
7.55(w) x 8.97(h) x 0.94(d)

Table of Contents

Preface.

About this Book.

Chapter Overview.

About the Examples.

Notation and Terminology.

The Programming in Mathematica Web Site.

Teaching Mathematica Programming.

1. Introduction.

From Calculations to Programs.

Basic Ingredients of a Package.

A Second Function in the Package.

Options.

Defaults for Positional Arguments.

Parameter Type Checking.

2. Packages.

Contexts.

Packages that Use Other Packages.

Protection of Symbols in a Package.

Package Framework and Documentation.

Loading Packages.

Large Projects.

3. Defaults and Options.

Default Values.

Options for Your Functions.

Setting Options of Several Commands.

4. Functional and Procedural Programming.

Procedures and Local Variables.

Loops.

Structured Iteration.

Iterated Function Application.

Map and Apply.

Application: The Platonic Solids.

Operations on Lists and Matrices.

5. Evaluation.

Evaluation of the Body of a Rule.

Pure Functions.

Nonstandard Evaluation.

Nonlocal Flow of Control.

Definitions.

Advanced Topic: Scopes of Names.

6. Transformation Rules.

Simplification Rules and Normal Forms.

Application: Trigonometric Simplifications.

Globally Defined Rules.

Pattern Matching for Rules.

Traversing Expressions.

7. Numerical Computations.

Numbers.

Numerical Evaluation.

Numeric Quantities.

Application: Differential Equations.

8. Interaction with Built-In Rules.

Modifying the Main Evaluation Loop.

User-Defined Rules Take Precedence.

Modifying System Function.

Advanced Topic: A New Mathematical Function.

9. Input and Output.

Input and Output Formatting.

Input from Files and Programs.

Running Mathematica Unattended.

Session Logging.

Advanced Topic: Typesetting Mathematics.

10. Graphics Programming.

Graphics Packages.

Animated Graphics.

The Chapter Pictures.

11. Notebooks.

Packages and Notebooks.

The Structure of Notebooks.

Frontend Programming.

12. Application: Iterated Function Systems.

Affine Maps.

Iterated Function Systems.

Examples of Invariant Sets.

Documentation: Help Notebooks and Manuals.

Appendix A. Exercises.

Programming Exercises.

Solutions.

Appendix B. Bibliography.

Background Information and Further Reading.

References.

Index.

Programs.

Subjects and Names. 020185449XT04062001

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