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Mathematics | The Mathematica GuideBook for Programming

The Mathematica GuideBook for Programming

Volume package: The Mathematica Guidebook

Trott, Michael

2004, XXXVIII, 1028 p.

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Mathematica is today’s most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive, easy-to-handle environment of great power and utility.

The Mathematica Guidebook for Programming provides a comprehensive, step-by-step development of Mathematica programming capabilities and contains an enormous collection of examples and worked exercises. It guides the reader to become fluent in the structure of Mathematica expressions, expression evaluation, pure and named functions, and in procedural, rule-based, and functional programming constructs. Each Mathematica function is discussed in detail, explained in numerous examples.

Unique Features:

* Step-by-step presentation of Mathematica functions assuming no prior Mathematica programming experience

* Clear organization, complete topic coverage, and an accessible writing style for both novices and experts

* Detailed discussion of procedural, rule-based, and functional programming

* Hundreds of worked examples, illustrations, programs, and fully worked self-study exercises for understanding concepts and learning how to solve real-life problems

* Website for book with additional materials:


Michael Trott is a symbolic computation and computer graphics expert. He holds a Ph.D. in theoretical physics and joined the R&D team at Wolfram Research in 1994, the creators of Mathematica. Since 1998, he has been leading development of the Wolfram Functions Site http://functions.wolfram.com, which currently features more that 80,000 formulas and identities, and thousands of visualizations.

Content Level » Professional/practitioner

Keywords » Mathematica - algorithms - complexity - computer - computer algebra - computer graphics - programming - programming language - visualization

Related subjects » Computational Science & Engineering - Information Systems and Applications - Mathematics - Software Engineering - Theoretical Computer Science

Table of contents 

I Introduction: *Remarks *Basics of Mathematica as a Programming Language *Introductory Examples *What Computer Algebra and Mathematica 4.0 Can and Cannot Do     Exercises    Solutions    References  

II Structure of Mathematica Expressions: *Remarks *Expressions *Simple Expressions *Nested Expressions *Manipulating numbers    Exercises    Solutions    References  

III Definitions and Properties of Functions: *Remarks *Definition and clearing of simple functions *Options and Defaults *Attributes of Functions *Downvalues and Upvalues *Functions that Remember Their Values *Functions in the x-Calculus *Repeated Application of Functions *Functions of Functions    Exercises    Solutions    References 

IV Meta-Mathematica: *Remarks *Information on Commands *Control over Running Calculations and Resources *The $-Commands *Communication and Interaction with the Outside *Debugging *Localization of  Variable Names *The Process of Calculation Exercises    Solutions    References  

V Replacement Rules and Related Matters: *Remarks *Boolean Functions *Patterns *Replacement Rules      Exercises    Solutions    References  

VI Operations on List, and Linear Algebra: *Remarks *Creating Lists * Representation of Lists *Manipulating on Single Lists *Operations with Several Lists or with Nested Lists *Mathematical Operations with Matrices *Top-ten Built-in Commands    Exercises    Solutions    References   Index

System requirements 

The cross-platform CD-ROM is compatible with Macintosh, NEXT, Windows, and most UNIX computer systems. Mathmatica 2.2 of higher is recommended to fully utillize CD.

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