Tensor Calculus: a Concise Course (Paperback)

Paperback. ""This book will prove to be a good introduction, both for the physicist who wishes to make applications and for the mathematician who prefers to have a short survey before taking up one of the more voluminous textbooks on differential geometry."" - MathSciNet (Mathematical Reviews on the Web), American Mathematical SocietyA compact exposition of the fundamental results in the theory of tensors, this text also illustrates the power of the tensor technique by its applications to differential geometry, elasticity, and relativity. The first five chapters--comprising tensor algebra, the line element, covariant differentiation, geodesics and parallelism, and curvature tensor--develop their subjects without undue rigor. The final three chapters function independently of each other and cover Euclidean three-dimensional differential geometry, Cartesian tensors and elasticity, and the theory of relativity. Both special and general theories of relativity are reviewed, with introductory material for readers unfamiliar with the concepts. This unabridged reprint of Tensor calculus, 3rd ed. originally published by Oliver and Boyd in 1960, investigates relations that remain valid when changed from one coordinate system to any other, and illustrates the utility of the tensor technique through applications in differential geometry, elas Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…