This is a fully revised second edition of the bestselling Introduction to Maple, compatible through Maple V Release 4. The book is an introduction to the modern computer algebra system Maple. It intends to teach the reader not only what can be done by Maple, but also how it can be done. Emphasis is on understanding the Maple system more than on factual knowledge of built-in possibilities. To this end, the book contains both elementary and more sophisticated examples and many exercises. Many new examples have been added to show how to use Maple as a problem solver, how to assist the system during computations, and how to extend its built-in facilities. Introduction to Maple is not only a readable manual, explaining how to use Maple as a symbolic calculator, but also provides the necessary background to those who want to extend the built-in knowledge of Maple by implementing new algorithms. The typical reader should have a background in mathematics that is above the beginner level.