Tensor Calculus: A Concise Course (Paperback) (ISBN-13: 9780486428314)

""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 Society A 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.

Author: Barry Spain, Mathematics
ISBN-10: 0486428311
ISBN-13: 9780486428314
Publisher: Dover Publications
Language: English
Published: 05/02/2003
Pages: 144
Format: Paperback
Weight: 0.34lbs
Size: 8.48h x 5.50w x 0.32d