Programming in Mathematica / Edition 3by 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… See more details below
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.
- Publication date:
- Edition description:
- 3rd ed
- Product dimensions:
- 7.55(w) x 8.97(h) x 0.94(d)
Table of Contents
About this Book.
About the Examples.
Notation and Terminology.
The Programming in Mathematica Web Site.
Teaching Mathematica Programming.
From Calculations to Programs.
Basic Ingredients of a Package.
A Second Function in the Package.
Defaults for Positional Arguments.
Parameter Type Checking.
Packages that Use Other Packages.
Protection of Symbols in a Package.
Package Framework and Documentation.
3. Defaults and Options.
Options for Your Functions.
Setting Options of Several Commands.
4. Functional and Procedural Programming.
Procedures and Local Variables.
Iterated Function Application.
Map and Apply.
Application: The Platonic Solids.
Operations on Lists and Matrices.
Evaluation of the Body of a Rule.
Nonlocal Flow of Control.
Advanced Topic: Scopes of Names.
6. Transformation Rules.
Simplification Rules and Normal Forms.
Application: Trigonometric Simplifications.
Globally Defined Rules.
Pattern Matching for Rules.
7. Numerical Computations.
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.
Advanced Topic: Typesetting Mathematics.
10. Graphics Programming.
The Chapter Pictures.
Packages and Notebooks.
The Structure of Notebooks.
12. Application: Iterated Function Systems.
Iterated Function Systems.
Examples of Invariant Sets.
Documentation: Help Notebooks and Manuals.
Appendix A. Exercises.
Appendix B. Bibliography.
Background Information and Further Reading.
Subjects and Names. 020185449XT04062001
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