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-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

  • James G. Simmonds
    • 1
  1. 1.Department of Applied MathematicsUniversity of VirginiaCharlottesvilleUSA

Bibliographic information

  • 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
  • Print ISBN 978-1-4612-6424-8
  • Online ISBN 978-1-4419-8522-4
  • Series Print ISSN 0172-6056
  • About this book