Vector Analysis and Cartesian Tensors, Third edition

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CRC Press, Jun 25, 1992 - Mathematics - 304 pages
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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.
  

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Contents

Scalar and vector algebra
21
Vector functions of a real variable Differential geometry
55
Scalar and vector fields
89
Line surface and volume integrals
147
Integral theorems
195
Applications in potential theory
225
Cartesian tensors
244
Representation theorems for isotropic tensor functions
265
Appendix A Determinants
282
Index
300
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