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Tensor Calculus
Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, more.
Tensor Calculus contains eight chapters. The first four deal with the basic concepts of tensors, Riemannian spaces, Rieniannian curvature, and spaces of constant curvature.
The next three chapters are concerned with applications to classical dynamics, hydrodynamics, elasticity, electromagnetic radiation, and the theorems of Stokes and Green. In the final chapter, an introduction is given to non-Riemannian spaces including such subjects as affine, Weyl, and projective spaces. There are two appendices which discuss the reduction of a quadratic form and multiple integration.
At the conclusion of each chapter a summary of the more important formulas and a set of exercises are given. More exercises are scattered throughout the text. The special and general theory of relativity are briefly discussed where applicable.
This book is an excellent classroom text, since it is clearly written, contains numerous problems and exercises, and at the end of each chapter has a summary of the significant results of the chapter.
ISBN 0-486-63612-7.
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