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The Mathematica GuideBook for Programming de Michael Trott

The Mathematica GuideBook for Programming

Autor Michael Trott
en Limba Engleză Hardback – 28 oct 2004
This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises.
This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities. It then covers the hierarchical construction of objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, and the manipulation of lists.
An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.
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Specificații

ISBN-13: 9780387942827
ISBN-10: 0387942823
Pagini: 1028
Ilustrații: XXXVIII, 1028 p.
Dimensiuni: 178 x 254 x 53 mm
Greutate: 1.81 kg
Ediția:2004
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States

Public țintă

Professional/practitioner

Cuprins

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

Recenzii

From the reviews:
"This volume is the first one in a series of four books on the Mathematica programming language. It is best suited for those who … want to learn the sophisticated tricks of the advanced programming and to use Mathematica up to its full capacity. … The book addresses many features of human-computer interaction. … This book is one of the most valuable sources for the advanced users of Mathematica. … all the science/engineering/computer science/mathematics libraries should have this book and its companion volumes." (Matti Vuorinen, Zentralblatt MATH, Vol. 1080, 2006)
"The Mathematica GuideBook for Programming provided this reviewer with insights into solving and visualizing problems by using Mathematica … . Its wealth of exercises, annotated solutions and integrated bibliographic references should make this set a valuable part of the library of any Mathematica user. I highly recommend it." (Marvin Schaefer, MathDL, August, 2006)
"On the whole, the programming GuideBook provides a comprehensive, step-by-step development of Mathematica programming capabilities and contains an impressive collection of examples and worked exercises. Key Mathematica functions are discussed in detail, using interesting examples and put to the test in real programs." (Willy Hereman, SIAM Review, Vol. 47 (4), 2005)

Caracteristici

* 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

Descriere

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.