An introduction to the theory of Cartesian tensors, this text notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. Covers isotropic tensors and spinor analysis within the confines of Euclidean space; and tensors in orthogonal curvilinear coordinates. Examples. 1960 edition. Unabridged republication of the edition published by Methuen & Co., Ltd., London, and John Wiley & Sons, Inc., New York, 1960.
Here's a sample of other books in this Dover category
Tensor Calculus by J. L. Synge, A. Schild Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.
Tensor Calculus: A Concise Course by Barry Spain Compact exposition of the fundamental results in the theory of tensors; also illustrates the power of the tensor technique by applications to differential geometry, elasticity, and relativity. 1960 edition.
Tensors, Differential Forms, and Variational Principles by David Lovelock, Hanno Rund Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
