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A Brief on Tensor Analysis

  • James G. Simmonds

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

Table of contents

  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. Back Matter
    Pages 89-94

About this book

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

  • James G. Simmonds
    • 1
  1. 1.Department of Applied Mathematics and Computer Science Thornton HallUniversity of VirginiaCharlottesvilleUSA

Bibliographic information

  • 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 Springer Book Archive
  • Print ISBN 978-1-4684-0143-1
  • Online ISBN 978-1-4684-0141-7
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site