This comprehensive, detailed reference to Mathematica provides the reader with both a working knowledge of Mathematica programming in general and a detailed knowledge of key aspects of Mathematica needed to create the fastest, shortest, and most elegant implementations possible to solve problems from the natural and physical sciences. The Guidebook gives the user a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. "Programming" covers the structure of Mathematica expressions, after an overview of the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities in chapter 1. Chapter 2-6 cover hierarchical construction of all Mathematica objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, the manipulation of lists, and additional topics. An Appendix contains some general references on algorithms and applications of computer algebra, Mathematica itself and comparisons of various algebra systems. The multiplatform CD contains Mathematica 4.1 notebooks with detailed descriptions and explanations of the Mathematica commands needed in that chapter and used in applications, supplemented by a variety of mathematical, physical, and graphic examples and worked out solutions to all exercises. The Mathematica Guidebook is an indispensible resource for practitioners, researchers and professionals in mathematics, the sciences, and engineering. It will find a natural place on the bookshelf as an essential reference work.

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.