Introduction to Tensor Calculus and Continuum Mechanics is an
advanced College level mathematics text. The first part of the text
introduces basic concepts, notations and operations associated with
the subject area of tensor calculus. The material presented is
developed at a slow pace with a detailed explanation of the many
tensor operations. The first half of the text concludes with an
introduction to the application of tensor concepts to differential
geometry and relativity. The second half of the text presents
applications of tensors to areas from continuum mechanics. Tensor
calculus is applied to the areas of dynamics, elasticity, fluids,
electricity and magnetism. Many of the basic equations from
physics, engineering and science are developed which makes the text
an excellent reference work. The second half of the text concludes
with an introduction to quaternions, multivectors and Clifford
algebra.
There are four Appendices. The Appendix A contains units of
measurements from the Systeme International d'Unites along with
some selected physical con stants. The Appendix B contains a
listing of Christoffel symbols of the second kind associated with
various coordinate systems. The Appendix C is a summary of use ful
vector identities. The Appendix D contains solutions to selected
exercises. The text has numerous illustrative worked examples and
over 450 exercises.
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