Cartesian Tensors: An Introduction
This undergraduate text provides an introduction to the theory of Cartesian tensors, defining tensors as multilinear functions of direction, and simplifying many theorems in a manner that lends unity to the subject. The author notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. He therefore provides an elementary discussion of the subject, in addition to a view of isotropic tensors and spinor analysis within the confines of Euclidean space. The text concludes with an examination of tensors in orthogonal curvilinear coordinates. Numerous examples illustrate the general theory and indicate certain extensions and applications. 1960 edition.
1018964683
Cartesian Tensors: An Introduction
This undergraduate text provides an introduction to the theory of Cartesian tensors, defining tensors as multilinear functions of direction, and simplifying many theorems in a manner that lends unity to the subject. The author notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. He therefore provides an elementary discussion of the subject, in addition to a view of isotropic tensors and spinor analysis within the confines of Euclidean space. The text concludes with an examination of tensors in orthogonal curvilinear coordinates. Numerous examples illustrate the general theory and indicate certain extensions and applications. 1960 edition.
8.95 In Stock
Cartesian Tensors: An Introduction

Cartesian Tensors: An Introduction

by G. Temple
Cartesian Tensors: An Introduction

Cartesian Tensors: An Introduction

by G. Temple

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$8.95 
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Overview

This undergraduate text provides an introduction to the theory of Cartesian tensors, defining tensors as multilinear functions of direction, and simplifying many theorems in a manner that lends unity to the subject. The author notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. He therefore provides an elementary discussion of the subject, in addition to a view of isotropic tensors and spinor analysis within the confines of Euclidean space. The text concludes with an examination of tensors in orthogonal curvilinear coordinates. Numerous examples illustrate the general theory and indicate certain extensions and applications. 1960 edition.

Product Details

ISBN-13: 9780486439082
Publisher: Dover Publications
Publication date: 09/09/2004
Series: Dover Books on Mathematics Series
Pages: 112
Sales rank: 951,963
Product dimensions: 5.37(w) x 8.50(h) x (d)

Table of Contents

Preface
I. Vectors, Bases and Orthogonal Transformations
II. The Definition of a Tensor
III. The Algebra of Tensors
IV. The Calculus of Tensors
V. The Structure of Tensors
VI. Isotropic Tensors
VII. Spinors
VIII. Tensors in Orthogonal Curvilinear Coordinates
Index
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