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Tensor Calculus With Applications

Maks A. Akivis

Vladislav V. Goldberg

Language

English

Book Hardback

Libristo code: 05067607

Publishers World Scientific Publishing Co Pte Ltd, August 2003

This textbook presents the foundations of tensor calculus and the elements of tensor analysis, in ad... Full description

Libristo code: 05067607

377 b

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This textbook presents the foundations of tensor calculus and the elements of tensor analysis, in addition to considering 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.

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About the book

Full name Tensor Calculus With Applications

Author Maks A. Akivis, Vladislav V. Goldberg

Language

English

Binding Book - Hardback

Date of issue 2003

Number of pages 340

EAN 9789812385055

ISBN 9812385053

Libristo code 05067607

Publishers World Scientific Publishing Co Pte Ltd

Weight 658

Dimensions 162 x 235 x 24

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