A Brief on Tensor Analysis

Textbook

Part of the Undergraduate Texts in Mathematics book series (UTM)

1. Front Matter
Pages i-xi
2. James G. Simmonds
Pages 1-24
3. James G. Simmonds
Pages 25-42
4. James G. Simmonds
Pages 43-67
5. James G. Simmonds
Pages 68-88
6. Back Matter
Pages 89-94

Introduction

When I was an undergraduate, working as a co-op student at North American Aviation, I tried to learn something about tensors. In the Aeronautical En­ gineering Department at MIT, I had just finished an introductory course in classical mechanics that so impressed me that to this day I cannot watch a plane in flight-especially in a tum-without imaging it bristling with vec­ tors. Near the end of the course the professor showed that, if an airplane is treated as a rigid body, there arises a mysterious collection of rather simple­ looking integrals called the components of the moment of inertia tensor. Tensor-what power those two syllables seemed to resonate. I had heard the word once before, in an aside by a graduate instructor to the cognoscenti in the front row of a course in strength of materials. "What the book calls stress is actually a tensor. . . ." With my interest twice piqued and with time off from fighting the brush­ fires of a demanding curriculum, I was ready for my first serious effort at self­ instruction. In Los Angeles, after several tries, I found a store with a book on tensor analysis. In my mind I had rehearsed the scene in which a graduate stu­ dent or professor, spying me there, would shout, "You're an undergraduate.

Keywords

Analysis Brief Eigenvalue Impress Tensoranalysis derivative differential equation integral mechanics operator tensor analysis time

Authors and affiliations

1. 1.Department of Applied Mathematics and Computer Science Thornton HallUniversity of VirginiaCharlottesvilleUSA

Bibliographic information

• Book Title A Brief on Tensor Analysis
• Authors J.G. Simmonds
• Series Title Undergraduate Texts in Mathematics
• DOI https://doi.org/10.1007/978-1-4684-0141-7
• Copyright Information Springer-Verlag New York 1982
• Publisher Name Springer, New York, NY
• eBook Packages
• Hardcover ISBN 978-0-387-90639-3
• Softcover ISBN 978-1-4684-0143-1
• eBook ISBN 978-1-4684-0141-7
• Series ISSN 0172-6056
• Edition Number 1
• Number of Pages , 0
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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