Tensor Calculus for Engineers and Physicists Hardback - 2016
by de Souza Sánchez Filho, Emil
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From the publisher
From the rear cover
This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of N dimensional spaces.
The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step.
Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors. Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.
Details
- Title Tensor Calculus for Engineers and Physicists
- Author de Souza Sánchez Filho, Emil
- Binding Hardback
- Language ENG
- Publisher Springer
- Publication date 2016
- Features Illustrated
- ISBN 9783319315195
About the author
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Tensor Calculus for Engineers and Physicists
by Emil de Souza Sánchez Filho
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Tensor Calculus for Engineers and Physicists
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