Multivariable Calculus and Mathematica®

With Applications to Geometry and Physics

  • Kevin R. Coombes
  • Ronald L. Lipsman
  • Jonathan M. Rosenberg

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 1-15
  3. Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 17-34
  4. Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 35-63
  5. Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 65-80
  6. Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 81-102
  7. Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 103-131
  8. Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 133-151
  9. Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 153-183
  10. Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 185-209
  11. Kevin R. Coombes, Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 211-224
  12. Back Matter
    Pages 225-283

About this book

Introduction

One of the authors' stated goals for this publication is to "modernize" the course through the integration of Mathematica. Besides introducing students to the multivariable uses of Mathematica, and instructing them on how to use it as a tool in simplifying calculations, they also present intoductions to geometry, mathematical physics, and kinematics, topics of particular interest to engineering and physical science students. In using Mathematica as a tool, the authors take pains not to use it simply to define things as a whole bunch of new "gadgets" streamlined to the taste of the authors, but rather they exploit the tremendous resources built into the program. They also make it clear that Mathematica is not algorithms. At the same time, they clearly see the ways in which Mathematica can make things cleaner, clearer and simpler. The problem sets give students an opportunity to practice their newly learned skills, covering simple calculations with Mathematica, simple plots, a review of one-variable calculus using Mathematica for symbolic differentiation, integration and numberical integration. They also cover the practice of incorporating text and headings into a Mathematica notebook. A DOS-formatted diskette accompanies the printed work, containing both Mathematica 2.2 and 3.0 version notebooks, as well as sample examination problems for students. This supplementary work can be used with any standard multivariable calculus textbook. It is assumed that in most cases students will also have access to an introductory primer for Mathematica.

Keywords

Clean Mathematica Numerical integration algorithm algorithms automation electricity kinematics mathematical physics mathematical software optimization

Authors and affiliations

  • Kevin R. Coombes
    • 1
  • Ronald L. Lipsman
    • 1
  • Jonathan M. Rosenberg
    • 1
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1698-8
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98360-8
  • Online ISBN 978-1-4612-1698-8
  • About this book