Computer Algebra Recipes

An Advanced Guide to Scientific Modeling

  • Richard H. Enns
  • George C. McGuire

Table of contents

  1. Front Matter
    Pages i-x
  2. Introduction

    1. Pages 1-9
  3. The Appetizers

    1. Front Matter
      Pages 11-11
    2. Pages 13-46
    3. Pages 47-106
  4. The Entrees

    1. Front Matter
      Pages 107-107
    2. Pages 109-147
    3. Pages 149-206
  5. The Desserts

    1. Front Matter
      Pages 285-285
    2. Pages 287-318
  6. Back Matter
    Pages 355-372

About this book

Introduction

Modern computer algebra systems are revolutionizing the teaching and learning of mathematically intensive subjects in science and engineering, enabling students to explore increasingly complex and computationally intensive models that provide analytic solutions, animated numerical solutions, and complex two- and three-dimensional graphic displays.
This self-contained text benefits from a spiral structure that regularly revisits the general topics of graphics, symbolic computation, and numerical simulation with increasing intricacy at each turn. The text is built around a large number of computer algebra worksheets or "recipes" that have been designed using MAPLE to provide tools for problem solving and to stimulate critical thinking. No prior knowledge of MAPLE is assumed. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe is associated with a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention. All recipes are included on the CD-ROM enclosed with the book.
Aimed at third- and fourth-year undergraduates in science and engineering, the text contains numerous examples in disciplines that will challenge students progressing in mathematics, physics, engineering, game theory, and physical chemistry. Computer Algebra Recipes: An Advanced Guide to Mathematical Modeling can serve as an effective computational science text, with a set of problems following each section of recipes to enable readers to apply and confirm their understanding. The book may also be used as a reference, for self-study, or as the basis of an online course.

Keywords

Analysis Maple Soliton algebra computer computer algebra computer algebra system game theory learning mathematical modeling model modeling simulation

Authors and affiliations

  • Richard H. Enns
    • 1
  • George C. McGuire
    • 2
  1. 1.Department of PhysicsSimon Fraser UniversityBurnabyCanada
  2. 2.Department of PhysicsUniversity College of Fraser ValleyAbbotsfordCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-49333-6
  • Copyright Information Springer Science+Business Media, LLC 2007
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-25768-6
  • Online ISBN 978-0-387-49333-6
  • About this book