TENSOR CALCULUS WITH APPLICATIONS - Softcover

Goldberg, Vladislav V; Akivis, Maks A

Softcover

ISBN 10: 9812385061 ISBN 13: 9789812385062

Publisher: World Scientific Publishing Company, 2003

Synopsis

This textbook presents the foundations of tensor calculus and the elements of tensor analysis. In addition, the authors consider numerous applications of tensors to geometry, mechanics and physics.While developing tensor calculus, the authors emphasize its relationship with linear algebra. Necessary notions and theorems of linear algebra are introduced and proved in connection with the construction of the apparatus of tensor calculus; prior knowledge is not assumed. For simplicity and to enable the reader to visualize concepts more clearly, all exposition is conducted in three-dimensional space. The principal feature of the book is that the authors use mainly orthogonal tensors, since such tensors are important in applications to physics and engineering.With regard to applications, the authors construct the general theory of second-degree surfaces, study the inertia tensor as well as the stress and strain tensors, and consider some problems of crystallophysics. The last chapter introduces the elements of tensor analysis.All notions introduced in the book, and also the obtained results, are illustrated with numerous examples discussed in the text. Each section of the book presents problems (a total over 300 problems are given). Examples and problems are intended to illustrate, reinforce and deepen the presented material. There are answers to most of the problems, as well as hints and solutions to selected problems at the end of the book.

About this title

From the Publisher

Upper level undergraduates, graduate students and researchers in physics and engineering.

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2003
• Language: English
• ISBN 10: 9812385061
• ISBN 13: 9789812385062
• Binding: Paperback
• Number of pages: 380