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      Book

      Vector Analysis and Cartesian Tensors
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      Book

      Vector Analysis and Cartesian Tensors

      DOI link for Vector Analysis and Cartesian Tensors

      Vector Analysis and Cartesian Tensors book

      Vector Analysis and Cartesian Tensors

      DOI link for Vector Analysis and Cartesian Tensors

      Vector Analysis and Cartesian Tensors book

      ByD.E. Bourne, P.C. Kendall
      Edition 3rd Edition
      First Published 1992
      eBook Published 25 October 2017
      Pub. Location London
      Imprint Routledge
      DOI https://doi.org/10.1201/9780203734414
      Pages 304
      eBook ISBN 9780203734414
      Subjects Engineering & Technology
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      Get Citation

      Bourne, D.E., & Kendall, P.C. (1992). Vector Analysis and Cartesian Tensors (3rd ed.). Routledge. https://doi.org/10.1201/9780203734414

      ABSTRACT

      This is a comprehensive and self-contained text suitable for use by undergraduate mathematics, science and engineering students. Vectors are introduced in terms of cartesian components, making the concepts of gradient, divergent and curl particularly simple. The text is supported by copious examples and progress can be checked by completing the many problems at the end of each section. Answers are provided at the back of the book.

      TABLE OF CONTENTS

      chapter 1|20 pages

      Rectangular cartesian coordinates and rotation of axes

      chapter 2|34 pages

      Scalar and vector algebra

      chapter 3|34 pages

      Vector functions of a real variable. Differential geometry of curves

      chapter 4|58 pages

      Scalar and vector fields

      chapter 5|48 pages

      Line, surface and volume integrals

      chapter 6|30 pages

      Integral theorems

      chapter 7|19 pages

      Applications In Potential Theory

      chapter 8|21 pages

      Cartesian tensors

      chapter 9|17 pages

      Representation theorems for isotropic tensor functions

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