This book is an introduction to the modern computer algebra system Maple. The book 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. 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 not at the beginner level. The book begins with an introduction to computer algebra, the first steps to calculus on numbers, and variables and names. It continues with such subjects as polynomials and rational functions, differentiation, integration and summation, simplification, graphics. The book concludes with the topics differential equations, and linear algebra: the basics and the applications.