Skip to main content
SpringerLink
Log in

A Brief on Tensor Analysis

  • Textbook
  • © 1994

Overview

Authors:
  1. James G. Simmonds

    1. Department of Applied Mathematics, University of Virginia, Charlottesville, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.95
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (4 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction: Vectors and Tensors

    • James G. Simmonds
    Pages 1-24

  3. General Bases and Tensor Notation

    • James G. Simmonds
    Pages 25-44

  4. Newton’s Law and Tensor Calculus

    • James G. Simmonds
    Pages 45-69

  5. The Gradient, the Del Operator, Covariant Differentiation, and the Divergence Theorem

    • James G. Simmonds
    Pages 71-105

  6. Back Matter

    Pages 107-114
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • Department of Applied Mathematics, 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/10.1007/978-1-4419-8522-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1994

  • Hardcover ISBN: 978-0-387-94088-5Published: 19 November 1993

  • Softcover ISBN: 978-1-4612-6424-8Published: 17 October 2012

  • eBook ISBN: 978-1-4419-8522-4Published: 31 October 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 2

  • Number of Pages: XIV, 114

  • Topics: Analysis

Publish with us

Policies and ethics

Back to top

Search

Navigation