Edition 
Second edition. 
Physical description 
1 online resource (xiv, 114 pages). 
Series 
Undergraduate Texts in Mathematics, 01726056


Undergraduate texts in mathematics.

Contents 
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. 
Summary 
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 wellseparated 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, nonintimidating style enhanced by workedout 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 2dimensional structural shells and 4dimensional general relativity. 
Subject 
Mathematics.


Global analysis (Mathematics)


Electronic books. 
ISBN 
9781441985224 (electronic bk.) 

1441985220 (electronic bk.) 

9781461264248 

1461264243 

1441985220 
