Ebook: Introduction to Maple

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.

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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.
Content:
Front Matter....Pages i-xx
Introduction to Computer Algebra....Pages 1-34
The First Steps: Calculus on Numbers....Pages 35-64
Variables and Names....Pages 65-94
Getting Around with Maple....Pages 95-134
Polynomials and Rational Functions....Pages 135-148
Internal Data Representation and Substitution....Pages 149-171
Manipulation of Polynomials and Rational Expressions....Pages 173-187
Functions....Pages 189-212
Differentiation....Pages 213-225
Integration and Summation....Pages 227-265
Series, Approximation, and Limits....Pages 267-292
Composite Data Types....Pages 293-323
The Assume Facility....Pages 325-342
Simplification....Pages 343-385
Graphics....Pages 387-477
Solving Equations....Pages 479-517
Differential Equations....Pages 519-573
Linear Algebra: The linalg Package....Pages 575-599
Linear Algebra: Applications....Pages 601-634
Back Matter....Pages 635-699

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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.
Content:
Front Matter....Pages i-xx
Introduction to Computer Algebra....Pages 1-34
The First Steps: Calculus on Numbers....Pages 35-64
Variables and Names....Pages 65-94
Getting Around with Maple....Pages 95-134
Polynomials and Rational Functions....Pages 135-148
Internal Data Representation and Substitution....Pages 149-171
Manipulation of Polynomials and Rational Expressions....Pages 173-187
Functions....Pages 189-212
Differentiation....Pages 213-225
Integration and Summation....Pages 227-265
Series, Approximation, and Limits....Pages 267-292
Composite Data Types....Pages 293-323
The Assume Facility....Pages 325-342
Simplification....Pages 343-385
Graphics....Pages 387-477
Solving Equations....Pages 479-517
Differential Equations....Pages 519-573
Linear Algebra: The linalg Package....Pages 575-599
Linear Algebra: Applications....Pages 601-634
Back Matter....Pages 635-699
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