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Tensor calculus for engineers and ph...

Filho, Emil de Souza Sanchez.

Tensor calculus for engineers and physicists

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Tensor calculus for engineers and physicistsby Emil de Souza Sanchez Filho.
作者:	Filho, Emil de Souza Sanchez.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xxix, 345 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Calculus of tensors.
電子資源:	http://dx.doi.org/10.1007/978-3-319-31520-1
ISBN:	9783319315201$q(electronic bk.)

Tensor calculus for engineers and physicists
Filho, Emil de Souza Sanchez.

Tensor calculus for engineers and physicists[electronic resource] /by Emil de Souza Sanchez Filho. - Cham :Springer International Publishing :2016. - xxix, 345 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783319315201$q(electronic bk.)

Standard No.: 10.1007/978-3-319-31520-1doiSubjects--Topical Terms:

210256
Calculus of tensors.

LC Class. No.: QA433

Dewey Class. No.: 515.63

Tensor calculus for engineers and physicists
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505 0 $a 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.
520 $a 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.
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