Mathematica by Example

This work is designed to act as a supplementary text for those using or beginning to use Mathematica, the sophisticated mathematical software system. Topics covered include calculus, linear algebra, ordinary and partial differential equations, discrete mathematics and more. Mathematica by Example presents the commands and applications of Mathematica, a system for doing mathematics on a computer. This text serves as a guide to beginning users of Mathematica and users who do not intend to take advantage of the more specialized applications of Mathematica. The book combines symbolic manipulation, numerical mathematics, outstanding graphics, and a sophisticated programming language. It is comprised of 10 chapters. Chapter 1 gives a brief background of the software and how to install it in the computer. Chapter 2 introduces the essential commands of Mathematica. Basic operations on numbers, expressions, and functions are introduced and discussed. Chapter 3 provides Mathematica's built-in calculus commands. The fourth chapter presents elementary operations on lists and tables. This chapter is a prerequisite for Chapter 5 which discusses nested lists and tables in detail. The purpose of Chapter 6 is to illustrate various computations Mathematica can perform when solving differential equations. Chapters 7, 8, and 9 introduce Mathematica Packages that are not found in most Mathematica reference book. The final chapter covers the Mathematica Help feature. Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful. Content: Front Matter, Page iii Copyright, Page iv PREFACE, Page xv Chapter 1 - Getting Started, Pages 1-13 Chapter 2 - Mathematical Operations on Numbers, Expressions and Functions in Mathematica, Pages 14-83 Chapter 3 - Calculus, Pages 84-189 Chapter 4 - Introduction to Lists and Tables, Pages 190-260 Chapter 5 - Introduction to Nested Lists: Matrices and Vectors, Pages 261-334 Chapter 6 - Applications Related to Ordinary and Partial Differential Equations, Pages 335-421 Chapter 7 - Introduction to Mathematica Packages, Pages 422-496 Chapter 8 - Some Graphics Packages, Pages 497-542 Chapter 9 - Some Special Packages, Pages 543-593 Chapter 10 - Getting Help from Mathematica and Making Mathematica Do What You Want, Pages 594-634 Appendix - Introduction to Programming in Mathematica, Pages 635-645 Index, Pages 647-654