This revised and expanded edition of the standard reference on programming in Mathematica addresses all the new features in the latest Version 3 of the software. The support for developing larger applications has been improved, and the book now discusses the software engineering issues related to writing and using larger programs in Mathematica. As before, Roman Maeder, one of the original authors of the Mathematica system, explains how to take advantage of its powerful built-in programming language. New topics in this edition include: *The programmable front-end; *The language for typesetting mathematical expressions and the treatment of exact numerical quantities; *A completely developed larger application, iterated function systems. This code allows readers to explore the fascinating world of chaos and fractals with Mathematica. Current users of Mathematica, Version 2, and new users of Version 3 will benefit alike from this up-to-date reference to Mathematica programming. 020185449XB04062001