A fully revised, second edition of the best-selling Introduction to Maple, now compatible through Maple V Release 4. It shows 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, and, to this end, the book contains both elementary and more sophisticated examples and many exercises. Numerous 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 simply a readable manual, but also provides the necessary background for those wanting to extend the built-in knowledge of Maple by implementing new algorithms. Readers should have a background in mathematics higher than beginner level.
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Introduction to Computer Algebra; The First Steps: Calculus on Numbers; Variables and Names; Getting Around with Maple; Polynomials and Rational Functions; Internal Data Representation and Substitution; Manipulation of Polynomials and Rational Expressions; Functions; Differentiation; Integration and Summation; Series, Approximation, and Limits; Composite Data Types; The Assume Facility; Simplification; Graphics; Solving Equations; Differential Equations; Linear Algebra: The linalg Package; Linear Algebra: Applications; References; Index.
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