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A Brief on Tensor Analysis : Undergraduate Texts in Mathematics - James G. Simmonds

A Brief on Tensor Analysis

Undergraduate Texts in Mathematics

Hardcover Published: 31st July 1997
ISBN: 9780387940885
Number Of Pages: 114

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This new edition is intended for third and fourth year undergraduates in Engineering, Physics, Mathematics, and the Applied Sciences, and can serve as a springboard for further work in Continuum Mechanics or General Relativity. Starting from a basic knowledge of calculus and matrix algebra, together with fundamental ideas from mechanics and geometry, the text gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics. The mathematics of tensor analysis is introduced in well-separated stages: the concept of a tensor as an operator; the representation of a tensor in terms of its Cartesian components; the components of a tensor relative to a general basis, tensor notation, and finally, tensor calculus. The physical interpretation and application of vectors and tensors are stressed throughout. Though concise, the text is written in an informal, non-intimidating style enhanced by worked-out problems and a meaningful variety of exercises. The new edition includes more exercises, especially at the end of chapter IV. Furthermore, the author has appended a section on Differential Geometry, the essential mathematical tool in the study of the 2-dimensional structural shells and 4-dimensional general relativity.

Preface to the Second Edition
Preface to the First Edition
Introduction: Vectors and Tensors
General Bases and Tensor Notation
Newton's Law and Tensor Calculus
The Gradient, the Del Operator,Covariant Differentiation, and the Divergence Theorem
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387940885
ISBN-10: 038794088X
Series: Undergraduate Texts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 114
Published: 31st July 1997
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.8 x 16.4  x 1.3
Weight (kg): 0.35
Edition Number: 2
Edition Type: Revised

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