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Book synopsis

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.§§

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Tensor Calculus for Engineers and Physicists
• Author: Emil de Souza Sánchez Filho
• Language: English
• Binding: Hardback
• Number of pages: 345
• EAN: 9783319315195
• ISBN: 3319315196
• ID: 02942807
• Publisher: Springer International Publishing AG
• Weight: 710 g
• Dimensions: 243 × 164 × 26 mm
• Date of publishing: 21. May 2016

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