Tensor calculus for engineers and physicists [electronic resource] / Emil de Souza Sánchez Filho.
Filho, Emil de Souza Sánchez, author.
2016
QA433
Available Online

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Title Tensor calculus for engineers and physicists [electronic resource] / Emil de Souza Sánchez Filho.
Author Filho, Emil de Souza Sánchez, author.
ISBN 9783319315201 (electronic book)
331931520X (electronic book)
9783319315195
DOI https://doi.org/10.1007/978-3-319-31520-1
Published Switzerland : Springer, 2016.
Language English
Description 1 online resource (xxix, 345 pages) : illustrations
Item Number 10.1007/978-3-319-31520-1 doi
Call Number QA433
Dewey Decimal Classification 515/.63
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed May 27, 2016).
Linked Resources Online Access
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Chapter 1 Fundamental Concepts
Chapter 2 Covariant, Absolute and Contravariant Differentiation
Chapter 3 Integral Theorems
Chapter 4 Differential Operators
Chapter 5 Riemann Spaces
Chapter 6 Parallelisms of Vectors.

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