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Tensor Calculus for Engineers and Physicists [electronic resource] / by Emil de Souza Sánchez Filho

Author
de Souza Sánchez Filho, Emil
Published
Cham : Springer International Publishing : Imprint: Springer, 2016.
Physical Description
XXIX, 345 pages 60 illustrations : online resource
Additional Creators
SpringerLink (Online service)
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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.
Subject(s)
ISBN
9783319315201
Digital File Characteristics
text file PDF
Part Of
Springer eBooks
View MARC record | catkey: 17739380