The MATHEMATICA ® Book, Version 4

by
Edition: 4th
Format: Hardcover
Pub. Date: 1999-02-28
Publisher(s): Cambridge University Press
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Summary

With over a million users around the world, the Mathematica software system created by Stephen Wolfram has defined the direction of technical computing for the past decade. The enhanced text and hypertext processing and state-of-the-art numerical computation features will ensure that Mathematica 4, takes scientific computing into the next century.The Mathematica Book continues to be the definitive reference guide to this revolutionary software package and is released in this new edition to coincide with the release of the new version of Mathematica.The Mathematica Book is a must-have purchase for anyone who wants to understand the opportunities in science, technology, business, and education made possible by Mathematica 4. This encompasses a broad audience of scientists and mathematicians; engineers; computer professionals; financial analysts; medical researchers; and students at high-school, college, and graduate levels. Written by the creator of the system, The Mathematica Book includes both a tutorial introduction and complete reference information, and contains comprehensive description of how to take advantage of Mathematica's ability to solve myriad technical computing problems and its powerful graphical and typesetting capabilities.

Author Biography

Stephen Wolfram is the creator of Mathematica and is widely regarded as the most important innovator in scientific and technical computing today. A distinguished scientist and award-winning writer, he is the founder and president of Wolfram Research.

Table of Contents

A Tour of Mathematica 1(25)
Part 1. A Practical Introduction to Mathematica 26(206)
1.0 Running Mathematica
26(3)
1.1 Numerical Calculations
29(9)
1.2 Building Up Calculations
38(6)
1.3 Using the Mathematica System
44(18)
1.4 Algebraic Calculations
62(16)
1.5 Symbolic Mathematics
78(22)
1.6 Numerical Mathematics
100(8)
1.7 Functions and Programs
108(5)
1.8 Lists
113(20)
1.9 Graphics and Sound
133(45)
1.10 Input and Output in Notebooks
178(30)
1.11 Files and External Operations
208(12)
1.12 Special Topic: The Internals of Mathematica
220(12)
Part 2. Principles of Mathematica 232(482)
2.1 Expressions
232(10)
2.2 Functional Operations
242(19)
2.3 Patterns
261(24)
2.4 Transformation Rules and Definitions
285(25)
2.5 Evaluation of Expressions
310(53)
2.6 Modularity and the Naming of Things
363(28)
2.7 Strings and Characters
391(18)
2.8 Textual Input and Output
409(63)
2.9 The Structure of Graphics and Sound
472(86)
2.10 Manipulating Notebooks
558(55)
2.11 Files and Streams
613(34)
2.12 MathLink and External Program Communication
647(45)
2.13 Global Aspects of Mathematica Sessions
692(22)
Part 3. Advanced Mathematics in Mathematica 714(255)
3.1 Numbers
714(22)
3.2 Mathematical Functions
736(53)
3.3 Algebraic Manipulation
789(22)
3.4 Manipulating Equations
811(19)
3.5 Calculus
830(30)
3.6 Series, Limits and Residues
860(11)
3.7 Linear Algebra
871(22)
3.8 Numerical Operations on Data
893(16)
3.9 Numerical Operations on Functions
909(30)
3.10 Mathematical and Other Notation
939(30)
Formula Gallery 969(10)
Graphics Gallery 979(21)
Appendix. Mathematica Reference Guide 1000(381)
A.1 Basic Objects 1000(5)
A.2 Input Syntax 1005(22)
A.3 Some General Notations and Conventions 1027(7)
A.4 Evaluation 1034(4)
A.5 Patterns and Transformation Rules 1038(5)
A.6 Files and Streams 1043(2)
A.7 Mathematica Sessions 1045(5)
A.8 Installation and Organization of System Files 1050(9)
A.9 Some Notes on Internal Implementation 1059(6)
A.10 Listing of Major Built-in Mathematica Objects 1065(252)
A.11 Listing of C Functions in the MathLink Library 1317(11)
A.12 Listing of Named Characters 1328(50)
A.13 Incompatible Changes since Mathematica Version 1 1378(3)
Index 1381

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