What Is Mathematica? About This Book Acknowledgments Tour Of Mathematica
Part 1. A Practical Introduction to Mathematica 1.0 Part 1 Overview 1.1 Numerical Calculations 1.2 Building Up Calculations 1.3 Using the Mathematica System 1.4 Formulae 1.5 Mathematical Operations in Mathematica 1.6 Adding Your Own Functions 1.7 Lists 1.8 Graphics 1.9 Advanced Topic: Interfacing to Other Systems
Part 2. The Structure of Mathematica 2.0 Part 2 Overview 2.1 Expressions 2.2 Transformation Rules and Definitions 2.3 Patterns 2.4 Advanced Topic: Operators 2.5 Procedural Programming 2.6 Input and Output 2.7 Advanced Topic: The Naming of Things 2.8 Advanced Topic: Resource Management
Part 3. Advanced Mathematics in Mathematica 3.0 Part 3 Overview 3.1 Numbers 3.2 Mathematical Functions 3.3 Polynomials and Rational Functions 3.4 Manipulating Equations 3.5 Calculus 3.6 Power Series and Limits 3.7 Linear Algebra 3.8 Numerical Operations on Data 3.9 Numerical Operations on Functions
Part 4. Mathematica as a Computer Language 4.0 Part 4 Overview 4.1 Programming Methodologies 4.2 Correspondences with Other Languages
Appendix A. Some Examples of Mathematica Packages A.0 Appendix A Overview A.1 Defining Mathematical Functions A.2 Implementing Mathematical Algorithms A.3 Mathematical Operations and Objects A.4 Simplification and Transformation Rules A.5 Setting up Mathematical Databases A.6 Graphics Programming
Appendix B. Mathematica Reference Guide B.0 Appendix B Overview B.1 Basic Objects B.2 Input Syntax B.3 Some General Notations and Conventions B.4 Evaluation B.5 Patterns and Transformation Rules B.6 Mathematica Sessions B.7 External Interface B.8 Listing of Built-in Mathematica Objects
