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© 1994

A Brief on Tensor Analysis

Textbook

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

Table of contents

  1. Front Matter
    Pages i-xiv
  2. James G. Simmonds
    Pages 1-24
  3. James G. Simmonds
    Pages 25-44
  4. James G. Simmonds
    Pages 45-69
  5. Back Matter
    Pages 107-114

About this book

Introduction

There are three changes in the second edition. First, with the help of readers and colleagues-thanks to all-I have corrected typographical errors and made minor changes in substance and style. Second, I have added a fewmore Exercises,especially at the end ofChapter4.Third, I have appended a section on Differential Geometry, the essential mathematical tool in the study of two-dimensional structural shells and four-dimensional general relativity. JAMES G. SIMMONDS vii Preface to the First Edition When I was an undergraduate, working as a co-op student at North Ameri­ can Aviation, I tried to learn something about tensors. In the Aeronautical Engineering 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 turn-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.

Keywords

Analysis Brief Derivative Eigenvalue Tensoranalysis calculus differential equation

Authors and affiliations

  1. 1.Department of Applied MathematicsUniversity of VirginiaCharlottesvilleUSA

Bibliographic information

  • Book Title A Brief on Tensor Analysis
  • Authors James G. Simmonds
  • Series Title Undergraduate Texts in Mathematics
  • DOI https://doi.org/10.1007/978-1-4419-8522-4
  • Copyright Information Springer-Verlag New York, Inc. 1994
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-94088-5
  • Softcover ISBN 978-1-4612-6424-8
  • eBook ISBN 978-1-4419-8522-4
  • Series ISSN 0172-6056
  • Edition Number 2
  • Number of Pages XIV, 114
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
  • Buy this book on publisher's site
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