Tensor Calculus

J. L. Synge and A. Schild

ISBN 10: 0486636127 / ISBN 13: 9780486636122

Published by Dover Publications, Inc., New York, 1978

About this Item

The book is in good condition with a sturdy softcover binding. There are minor signs of wear on the cover, including slight creasing, but the pages are clean and intact. The spine is solid, ensuring durability for regular use. There is no dust jacket, as typical for Dover editions. Unabridged reprint of the corrected edition published in 1969.

Seller Inventory # A22-B3-ICR-0033

Bibliographic Details

• Title: Tensor Calculus
• Publisher: Dover Publications, Inc., New York
• Publication Date: 1978
• Language: English
• ISBN 10: 0486636127
• ISBN 13: 9780486636122
• Binding: Paperback
• Condition: Good
• Dust Jacket Condition: No dust jacket visible

About this title

Synopsis

Mathematicians, theoretical physicists, and engineers unacquainted with tensor calculus are at a serious disadvantage in several fields of pure and applied mathematics. They are cut off from the study of Reimannian geometry and the general theory of relativity. Even in Euclidean geometry and Newtonian mechanics (particularly the mechanics of continua), they are compelled to work in notations which lack the compactness of tensor calculus. This classic text is a fundamental introduction to the subject for the beginning student of absolute differential calculus, and for those interested in the applications of tensor calculus to mathematical physics and engineering.
Tensor Calculus contains eight chapters. The first four deal with the basic concepts of tensors, Riemannian spaces, Riemannian 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 appendixes which discuss the reduction of a quadratic form and multiple integration. At the conclusion of each chapter a summary of the most important formulas and a set of exercises are given. More exercises are scattered throughout the text. The special and general theory of relativity is briefly discussed where applicable.