MathTensor: A System for Doing Tensor Analysis by Computer
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This book is an introduction to the authors' MathTensor software, which provides
a computer program that works with Mathematica by extending its capabilities to
include tensor analysis. Included is an introduction to MathTensor's commands
and functions along with information on how to apply MathTensor to specific problems,
among them problems in electromagnetism and relativity. For students and researchers
in science, engineering and mathematics who use tensors in solving problems.
Table of Contents
Preface.
1. A Brief Look at MathTensor.
A. TENSOR ANALYSIS IN MATHTENSOR.
2. An Introduction to Tensors and Differential Forms.
3. Symmetries, Operations, and Rules.
4. Components, Transformations, and Types of Indices.
B. DIFFERENTIAL FORMS IN MATHTENSOR.
5. Differential Form Operations.
6. Differential Forms Applications.
C. APPLICATIONS OF MATHTENSOR.
7. Electromagnetism and Special Relativity.
8. Nonlinear Elasticity in Engineering Mechanics.
9. General Relativity Examples.
Appendix: Usage Messages.
Index.
About the Authors
Leonard Parker is a principal in MathSolutions Inc., and the
co-author of the MathTensor software. Parker, an elected Fellow of the American
Physical Society, is author of more than one hundred research publications and
has served on the editorial boards of several major physics journals. He is
professor of physics at the University of Wisconsin at Milwaukee.
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