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Introduction to Tensor Calculus and Continuum Mechanics
by J. H. Heinbockel
428 pages; quality trade paperback (softcover); catalogue #01-0535; ISBN 1-55369-133-4; US$42.50, C$65.95, EUR42.90, £29.80
This book is an introduction to tensor calculus and continuum mechanics. i.e. applied mathematics developing basic equations in engineering, physics and science.
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About the book About the author Sample excerpt Catalogue info
About the BookAbout the Book Introduction to Tensor Calculus and Continuum Mechanics is an advanced College level mathematics text. The first part of the text introduces basic con cepts, notations and operations associated with the sub ject area of tensor calculus. The material presented is developed at a slow pace with a detailed explanation of the many tensor operations. The first half of the text concludes with an introduction to the application of ten sor concepts to differential geometry and relativity. The second half of the text presents applications of tensors to areas from continuum mechanics. Ten sor calculus is applied to the areas of dynamics, elastic ity, fluids, electricity and magnetism. Many of the ba sic equations from physics, engineering and science are developed which makes the text an excellent reference work. The second half of the text concludes with an introduction to quaternions, multivectors and Clifford algebra. There are four Appendices. The Appendix A contains units of measurements from the Système International d'Unitès along with some selected physical con stants. The Appendix B contains a listing of Christoffel symbols of the second kind associated with various coordinate systems. The Appendix C is a summary of use ful vector identities. The Appendix D contains solutions to selected exercises. The text has numerous illustrative worked examples and over 450 exercises. |
About the AuthorAbout the Author Dr. John H. Heinbockel is Professor Emeritus of Mathematics and Statistics from Old Dominion Univer sity, Norfolk, Virginia. He received his Ph.D. in applied mathematics from North Carolina State University in 1964. He joined Old Dominion University in 1967 and since then has taught a variety of mathematics courses at both the undergraduate and graduate level. He has had numerous research grants during this time and is the author/co-author of numerous technical papers in the areas of applied mathematics. Presently, he is doing research for NASA involving radiation analysis associ ated with various space programs. |
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Sample Excerpt
