Multivariable Calculus with Mathematica

with Applications to Geometry and Physics

Kevin R. Coombes
Department of Mathematics
University of Maryland, College Park

Ronald L. Lipsman
Department of Mathematics
University of Maryland, College Park

Jonathan M. Rosenberg
Department of Mathematics
University of Maryland, College Park

Multivariable Calculus with Mathematica was created to supplement the third semester of "calculus of several variables" found in physical science and engineering calculus sequences. It can also serve as a primary text in mathematical methods courses. The material has been classroom-tested and developed by the author-team to successfully teach most classical topics by applying fundamental physical applications in an illustrated significant physical example. Concepts once difficult to teach students in these courses are easily illustrated, interpreted and evaluated with the use of the computer algebra system, Mathematica. Integrating Mathematica into every chapter, Multivariable Calculus with Mathematica quickly has students drawing, manipulating and analyzing the geometric objects intrinsic to the course, and also attacking more realistic problems than those found in a traditional text.

Please review the authors' preface and sample Mathematica graphics from the book.

Copyright 1998. 272 pages/Softcover/Includes DOS-formatted diskette
ISBN 0-387-98360-0

System Requirements

The DOS-formatted diskette accompanying this book contains the Mathematica version 2 and version 3 notebooks described in the book (sample notebook solutions, input lines from chapters, sample input lines from Glossary). The 3.5" diskette can be read by IBM-compatible Macintosh and UNIX computers.

The authors' web site offers additional tips and examples for integrating the workbook activities into the teaching repertoire.

MathReader is a freely available program that will allow you to read (and print) any Mathematica notebook on most computer platforms.

Preface
Chapter 1 Introduction
Chapter 2 Vectors and Graphics
Chapter 3 Geometry of Curves
Chapter 4 Kinematics
Chapter 5 Directional Derivatives
Chapter 6 Geometry of Surfaces
Chapter 7 Optimization in Several Variables
Chapter 8 Multiple Integrals
Chapter 9 Physical Applications of Vector Calculus
Chapter 10 Mathematica Tips
Glossary
Sample Notebooks Solutions
Index

About the Authors

Kevin Coombes is an Associate Professor of Mathematics at the University of Maryland, College Park. His primary interests include arithmetic algebraic geometry.

Ronald Lipsman is Professor of Mathematics at the University of Maryland, College Park. His primary interests include representation theory of Lie groups.

Jonathan Rosenberg is a Professor of Mathematics at the University of Maryland, College Park. His interests include a mixture of representation theory, operator algebras, index theory, and topology of manifolds.

Collectively, they have more than 70 years of experience in college-level mathematics teaching, more than 30 years of experience in the use of Mathematica, and well over 100 research publications.

To Order

• Detailed Ordering Information

• To order by regular mail, send orders to:
  Springer-Verlag New York, Inc.
  PO Box 2485
  Secaucus, NJ 07096-2485

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