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Tables of Contents for The Mathematica Book

Chapter/Section Title

Page #

Page Count

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.