The MATHEMATICA ® Book, Version 4 (Hardcover, 4 Revised edition)

Part I. A practical introduction to Mathematica;1.0 Running Mathematica; 1.1 Numerical calculations; 1.2 Building up calculations; 1.3 Using the Mathematica System; 1.4 Algebraic calculations; 1.5 Symbolic mathematics; 1.6 Numerical mathematics; 1.7 Functions and programs; 1.8 Lists; 1.9 Graphics and sound; 1.10 Input and output in notebooks; 1.11 Files and external operations; 1.12 Special topic: the internals of Mathematica; Part II. Principles of Mathematica: 2.1 Expressions; 2.2 Functional operations; 2.3 Patterns; 2.4 Transformation rules and definitions; 2.5 Evaluation of expressions; 2.6 Modularity and the naming of things; 2.7 Strings and characters; 2.8 Textual input and output; 2.9 The structure of graphics and sound; 2.10 Manipulating notebooks; 2.11 Files and streams; 2.12 MathLink and external program communication; 2.13 Global aspects of Mathematica sessions; Part III. Advanced Mathematics in Mathematica: 3.1 Numbers; 3.2 Mathematical functions; 3.3 Algebraic manipulation; 3.4 Manipulating equations; 3.5 Calculus; 3.6 Series, limits and residues; 3.7 Linear algebra; 3.8 Numerical operations on data; 3.9 Numerical operations on functions; 3.10 Mathematical and other notation; Formula gallery; Graphics gallery; Appendix A. Mathematica reference guide: A.1 Basic objects; A.2 Input syntax; A.3 Some general notations and conventions; A.4 Evaluation; A.5 Patterns and transformation rules; A.6 Files and streams; A.7 Mathematica sessions; A.8 Installation and organization of system files; A.9 Some notes on internal implementation; A.10 Listing of major built-in Mathematica objects; A.11 Listing of C functions in the MathLink library; A.12 Listing of named characters; A.13 Incompatible changes since Mathematica Version 1; Index.