With over a million users around the world, the Mathematica software system created by Stephen Wolfram has defined the direction of technical computing for the past decade. The enhanced text and hypertext processing and state-of-the-art numerical computation features will ensure that Mathematica 4 takes scientific computing into the next century. The Mathematica Book continues to be the definitive reference guide to this revolutionary software package and is released in this new edition to coincide with the release of the new version of Mathematica. The Mathematica Book is a must-have purchase for anyone who wants to understand the opportunities in science, technology, business, and education made possible by Mathematica 4. This encompasses a broad audience of scientists and mathematicians; engineers; computer professionals; financial analysts; medical researchers; and students at high-school, college, and graduate levels. Written by the creator of the system, The Mathematica Book includes both a tutorial introduction and complete reference information, and contains comprehensive description of how to take advantage of Mathematica's ability to solve myriad technical computing problems and its powerful graphical and typesetting capabilities. New to this version: *Major efficiency enhancements in handling large volumes of numerical data. *Internal packed array technology to make repetitive operations on large numerical data sets radically more efficient in speed and memory. *Improved algebraic computation facilities, including support for assumptions within Simplify, and related functions, and specification of domains for variables, as well as full support of symbolic Laplace, Fourier, and Z transforms. *Additional mathematical functions, including Dirac Delta, Stuve, Harmonic numbers, etc. *Enhanced graphics and sound capabilities, including faster graphic generation and additional format support for graphics and sound. *Full-function spell checking including special technical dictionaries. Mathematica has defined the state of the art in technical computing for over a decade, and has become a standard in many of the world's leading companies and universities. From simple calculator operations to large-scale programming and the preparation of interactive documents, Mathematica is the tool of choice.