Tensor Calculus for Engineers and Physicists by Emil de Souza Sánchez Filho (PDF)

Description

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.

User’s Reviews

Editorial Reviews: From the Back Cover 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. About the Author Prof. Dr. Emil de Souza Sanchez Filho received his degree in civil engineering in 1976, his M. Sc. in 1998, and his D. Sc. in 1992 from COPPE-Federal University of Rio de Janeiro. In 1993-1994 he became visiting Researcher at Technische Universitat Braunschweig, Germany. In the periods 2003-2005 and 2013-2014 he worked as a postdoctoral fellow at PUC-Rio, where he is today Guest Professor (2004-2015). Currently, the author is full professor at Fluminense Federal University, Brazil. He worked in the construction industry and has large experience in Structural Engineering. He has published more than 220 papers (articles in peer reviewed journals and conference articles), chapters in 9 books, and acted as editor of 3 books and as author of 3 books: Solid Mechanics Elements, Tensors, and Tensor Calculus.”

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I’m not an expert on Tensor Calculus (which is why I bought the book).On the face of it, it’s a nice hardback book, nice smooth white paper and clear print. It seems to cover the tensor calculus that you need before moving on to an understanding of Einstein’s field equations (or whatever you want to use Tensor Calculus for). I don’t think this would be sufficient to teach you Tensor Calculus on its own. I would say it is more of a reference book that would support your lectures on Tensor Calculus. After each section of the book, you get exercises to test understanding plus you get the answers!

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