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Author Sanchez Filho, Emil de Souza,
Title Tensor calculus for engineers and physicists / Emil de Souza Sanchez Filho.
Imprint Switzerland : Springer, 2016.

View online
View online
Author Sanchez Filho, Emil de Souza,
Subject Calculus of tensors.
Description 1 online resource (xxix, 345 pages) : illustrations
Bibliography Note Includes bibliographical references and index.
Contents 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.
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.
Note Online resource; title from PDF title page (SpringerLink, viewed May 27, 2016).
ISBN 9783319315201 electronic bk.
331931520X electronic bk.
9783319315195 print
ISBN/ISSN 10.1007/978-3-319-31520-1
OCLC # 950725546

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