Overview
- Presents concepts in a straightforward way, while maintaining a great level of rigor
- Provides 56 solved exercises and a select set of unsolved problems with answers
- Presents a didactic and concise text suited to undergraduate and graduate students
- Enriches understanding of tensor calculus applied to all technical sciences and engineering disciplines, providing the reader with complete illustrations that supplement the presented concepts
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Table of contents (6 chapters)
Keywords
About this book
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 groundsfor 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.
Authors and Affiliations
Bibliographic Information
Book Title: Tensor Calculus for Engineers and Physicists
Authors: Emil de Souza Sánchez Filho
DOI: https://doi.org/10.1007/978-3-319-31520-1
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-31519-5Published: 30 May 2016
Softcover ISBN: 978-3-319-81056-0Published: 30 May 2018
eBook ISBN: 978-3-319-31520-1Published: 20 May 2016
Edition Number: 1
Number of Pages: XXIX, 345
Number of Illustrations: 60 b/w illustrations
Topics: Theoretical and Applied Mechanics, Mathematical Methods in Physics, Mathematical Applications in the Physical Sciences