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Programming in Mathematica
The example programs and packages in AddOns/ExtraPackages/ProgrammingInMathematica accompany the book
Roman E. Maeder: Programming in Mathematica, 3rd ed., Addison-Wesley, 1996
ISBN 0-201-85449-X.
The third edition covers Mathematica, Versions 3 and 4, and has been expanded considerably over the first and second editions.
For more information, visit the book's WWW site at http://www.wolfram.com/Maeder/ProgInMath/
The Files in ProgrammingInMathematica
These programs are not maintained by Wolfram Research, Inc., and Wolfram Research technical support will not answer questions about these programs.
Packages (Files with a .m extension)
Except for the iterated function systems example (Chapter 12), the packages are not documented on line. They are fully described in the book Programming in Mathematica.
Notebooks
BookPictures.nb contains the code and graphics of all chapter-opener pictures.
ChaosGame.nb is a package in notebook form. The package ChaosGame.m is updated automatically everytime the notebook is saved.
NotebookDemo.nb contains examples of frontend programming.
Template.nb is a template for notebooks and packages.
Documentation Directory
The notebooks and the BrowserCategories.m file in Documentation/English are part of the on-line help for Programming in Mathematica. The entry "Programming in Mathematica" should appear under the topic AddOns, subtopic Extras.
Programming in Mathematica Table of Contents
Preface
About This Book
Chapter Overview
About the Examples
Notation and Terminology
Electronic Resources
Teaching Mathematica Programming
1 Introduction
1.1 From Calculations to Programs
1.2 Basic Ingredients of a Package
1.3 A Second Function in the Package
1.4 Options
1.5 Defaults for Positional Arguments
1.6 Parameter Type Checking
2 Packages
2.1 Contexts
2.2 Packages that Use Other Packages
2.3 Protection of Symbols in a Package
2.4 Package Framework and Documentation
2.5 Loading Packages
2.6 Large Projects
3 Defaults and Options
3.1 Default Values
3.2 Options for Your Functions
3.3 Setting Options of Several Commands
4 Functional and Procedural Programming
4.1 Procedures and Local Variables
4.2 Loops
4.3 Structured Iteration
4.4 Iterated Function Application
4.5 Map and Apply
4.6 Application: The Platonic Solids
4.7 Operations on Lists and Matrices
5 Evaluation
5.1 Evaluation of the Body of a Rule
5.2 Pure Functions
5.3 Nonstandard Evaluation
5.4 Nonlocal Flow of Control
5.5 Definitions
5.6 Advanced Topic: Scopes of Names
6 Transformation Rules
6.1 Simplification Rules and Normal Forms
6.2 Application: Trigonometric Simplifications
6.3 Globally Defined Rules
6.4 Pattern Matching for Rules
6.5 Traversing Expressions
7 Numerical Computations
7.1 Numbers
7.2 Numerical Evaluation
7.3 Numeric Quantities
7.4 Application: Differential Equations
8 Interaction with Built-In Rules
8.1 Modifying the Main Evaluation Loop
8.2 User-Defined Rules Take Precedence
8.3 Modifying System Function
8.4 Advanced Topic: A New Mathematical Function
9 Input and Output
9.1 Input and Output Formatting
9.2 Input from Files and Programs
9.3 Running \@Om \ Unattended
9.4 Session Logging
9.5 Advanced Topic: Typesetting Mathematics
10 Graphics Programming
10.1 Graphics Packages
10.2 Animated Graphics
10.3 The Chapter Pictures
11 Notebooks
11.1 Packages and Notebooks
11.2 The Structure of Notebooks
11.3 Frontend Programming
12 Application: Iterated Function Systems
12.1 Affine Maps
12.2 Iterated Function Systems
12.3 Examples of Invariant Sets
12.4 Documentation: Help Notebooks and Manuals
Appendix A Exercises
A.1 Programming Exercises
A.2 Solutions
Appendix B Bibliography
B.1 Background Information and Further Reading
B.2 References
Index
Programs
Subjects and Names
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