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Computer Algebra Recipes

A Gourmet’s Guide to the Mathematical Models of Science

  • Richard H. Enns
  • George C. McGuire
Textbook

Part of the Undergraduate Texts in Contemporary Physics book series (UTCP)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Introduction

    1. Richard H. Enns, George C. McGuire
      Pages 1-8
  3. The Appetizers

    1. Front Matter
      Pages 9-9
    2. Richard H. Enns, George C. McGuire
      Pages 11-58
    3. Richard H. Enns, George C. McGuire
      Pages 59-112
    4. Richard H. Enns, George C. McGuire
      Pages 113-194
    5. Richard H. Enns, George C. McGuire
      Pages 195-260
  4. The Entrees

    1. Front Matter
      Pages 261-261
    2. Richard H. Enns, George C. McGuire
      Pages 263-324
    3. Richard H. Enns, George C. McGuire
      Pages 325-396
    4. Richard H. Enns, George C. McGuire
      Pages 397-458
    5. Richard H. Enns, George C. McGuire
      Pages 459-526
    6. Richard H. Enns, George C. McGuire
      Pages 527-572
    7. Richard H. Enns, George C. McGuire
      Pages 573-614
  5. The Desserts

    1. Front Matter
      Pages 615-615
    2. Richard H. Enns, George C. McGuire
      Pages 617-639
    3. Richard H. Enns, George C. McGuire
      Pages 641-700
    4. Richard H. Enns, George C. McGuire
      Pages 701-722
    5. Richard H. Enns, George C. McGuire
      Pages 723-743
  6. Epilogue

    1. Richard H. Enns, George C. McGuire
      Pages 745-745
  7. Back Matter
    Pages 747-778

About this book

Introduction

Computer algebra systems have the potential to revolutionize the teaching of and learning of science. Not only can students work thorough mathematical models much more efficiently and with fewer errors than with pencil and paper, they can also work with much more complex and computationally intensive models. Thus, for example, in studying the flight of a golf ball, students can begin with the simple parabolic trajectory, but then add the effects of lift and drag, of winds, and of spin. Not only can the program provide analytic solutions in some cases, it can also produce numerical solutions and graphic displays.
Aimed at undergraduates in their second or third year, this book is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, physics, chemistry. The text is organized along a spiral, revisiting general topics such as graphics, symbolic computation, and numerical simulation in greater detail and more depth at each turn of the spiral.
The heart of the text is a large number of computer algebra recipes. These have been designed not only to provide tools for problem solving, but also to stimulate the reader's imagination. Associated with each recipe is a scientific model or method and a story that leads the reader through steps of the recipe. Each section of recipes is followed by a set of problems that readers can use to check their understanding or to develop the topic further.

Keywords

Analysis Regression algebra computer computer algebra game theory model 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 the Fraser ValleyAbbotsfordCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-0171-4
  • Copyright Information Springer-Verlag New York, Inc. 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6533-7
  • Online ISBN 978-1-4613-0171-4
  • Buy this book on publisher's site