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A Brief on Tensor Analysis

  • Textbook
  • © 1982

Overview

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

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About this book

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.

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Table of contents (4 chapters)

Authors and Affiliations

  • Department of Applied Mathematics and Computer Science Thornton Hall, University of Virginia, Charlottesville, USA

    James G. Simmonds

Bibliographic Information

  • Book Title: A Brief on Tensor Analysis

  • Authors: James G. Simmonds

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4684-0141-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1982

  • eBook ISBN: 978-1-4684-0141-7Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Topics: Analysis

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