Sale!

The Mathematica GuideBook for Programming 2004th Edition by Trott Michael 1441985034 9781441985033

Name: The Mathematica GuideBook for Programming 2004th Edition by Trott Michael 1441985034 9781441985033
SKU: EB-55199896
Availability: InStock

Original price was: $50.00.Current price is: $25.00.

The Mathematica GuideBook for Programming 2004th Edition Trott Michael Digital Instant Download

Author(s): Trott Michael

Edition: 2004

File Details: PDF, 6.19 MB

Year: 2014

Language: english

SKU: EB-55199896 Category: Uncategorized Tag: Trott Michael

Description

The Mathematica GuideBook for Programming 2004th Edition by Trott Michael – Ebook PDF Instant Download/Delivery: 1441985034, 9781441985033
Full download The Mathematica GuideBook for Programming 2004th Edition after payment

Product details:

ISBN 10: 1441985034
ISBN 13: 9781441985033
Author: Michael Trott

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. The programs for this book are available to download at the link below: http://extras.springer.com 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: http://www.MathematicaGuideBooks.org 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.

The Mathematica GuideBook for Programming 2004th Table of contents:

Chapter 1 is an overall introduction to Mathematica. It gives an outline of Mathematica’s syntax, its program- ming, graphic, numeric, and symbolic capabilities, and shows how these capabilities naturally work together. This chapter contains a sampler of smaller examples that are discussed throughout the four Guide Books.

The five subsequent chapters deal with the structure of Mathematica expressions and with Mathematica as a programming language. This includes the hierarchical construction of all Mathematica objects from symbolic expressions (all of the form head [argument]), the ultimate building blocks of expressions (which are numbers, symbols, and strings), the definition of functions, rule applications, the recognition of patterns and their efficient application, program flows and program structure, the manipulation of lists (which are the universal containers for Mathematica expressions of all kinds), and a number of topics specific to the Mathematica programming language. Its powerful functional programming constructs are covered in great detail.

Chapter 2 discusses the basic structure of Mathematica expressions, the uniform recursive way to build them. and how to analyze expressions. To have a minimal working set of mathematical functions, we discuss the basic arithmetic operations, as well as the trigonometric and hyperbolic functions and their inverses. Emphasis is given to the branch cut structure of compositions and of inverse functions in Mathematica. This is an important area where paper and pencil calculations deviate from computer mathematics-calculations. In addition, the basics of machine and high-precision numericalization of expressions are discussed.

Chapter 3 introduces patterns, immediate and delayed function definitions, attributes of functions (representing such properties as commutativity and associativity), and functions within the A-calculus.

Chapter 4 deals with Mathematica as a programming system and its evaluation semantics. The various scoping constructs are analyzed and compared in detail. The evaluation order of expressions is explained carefully.

Chapter 5 discusses advanced patterns and rule-based programming. We also review Boolean expressions and give a larger set of examples showing how the powerful paradigm of rule-based programming can be used for short and elegant solutions of various problems.

Chapter 6 discusses lists and operations to manipulate them. Because vectors and matrices are represented as lists in Mathematica, linear algebra functions are also discussed. The possibility of manipulating lists as whole entities allows for very concise and effective programs. The last section analyzes a number of Mathematica programming examples in order to determine the top ten Mathematica commands. (Note that the GuideBooks use the terms ‘command’ and ‘function’ interchangeably.)

The Appendix contains some general references regarding algorithms and applications of computer algebra and Mathematica.

The Mathematica GuideBook to Programming deals mostly with Mathematica-related issues. General program- ming issues, not specific to Mathematica, such as data structures, program flows, etc., and mathematics and physics applications are only touched on occasionally.