A Primer In Tensor Analysis And Relativity
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A Primer In Tensor Analysis And Relativity
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Author : Ilya L. Shapiro
language : en
Publisher: Springer Nature
Release Date : 2019-08-30
A Primer In Tensor Analysis And Relativity written by Ilya L. Shapiro and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-30 with Science categories.
This undergraduate textbook provides a simple, concise introduction to tensor algebra and analysis, as well as special and general relativity. With a plethora of examples, explanations, and exercises, it forms a well-rounded didactic text that will be useful for any related course. The book is divided into three main parts, all based on lecture notes that have been refined for classroom teaching over the past two decades. Part I provides students with a comprehensive overview of tensors. Part II links the very introductory first part and the relatively advanced third part, demonstrating the important intermediate-level applications of tensor analysis. Part III contains an extended discussion of general relativity, and includes material useful for students interested primarily in quantum field theory and quantum gravity. Tailored to the undergraduate, this textbook offers explanations of technical material not easily found or detailed elsewhere, including an understandable description of Riemann normal coordinates and conformal transformations. Future theoretical and experimental physicists, as well as mathematicians, will thus find it a wonderful first read on the subject.
A Primer In Tensor Analysis And Relativity
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Author : Ilya Lvovitch Shapiro
language : en
Publisher:
Release Date : 2019
A Primer In Tensor Analysis And Relativity written by Ilya Lvovitch Shapiro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Calculus of tensors categories.
This undergraduate textbook provides a simple, concise introduction to tensor algebra and analysis, as well as special and general relativity. With a plethora of examples, explanations, and exercises, it forms a well-rounded didactic text that will be useful for any related course. The book is divided into three main parts, all based on lecture notes that have been refined for classroom teaching over the past two decades. Part I provides students with a comprehensive overview of tensors. Part II links the very introductory first part and the relatively advanced third part, demonstrating the important intermediate-level applications of tensor analysis. Part III contains an extended discussion of general relativity, and includes material useful for students interested primarily in quantum field theory and quantum gravity. Tailored to the undergraduate, this textbook offers explanations of technical material not easily found or detailed elsewhere, including an understandable description of Riemann normal coordinates and conformal transformations. Future theoretical and experimental physicists, as well as mathematicians, will thus find it a wonderful first read on the subject.
Tensors
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Author : Anadi Jiban Das
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-05
Tensors written by Anadi Jiban Das and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-05 with Science categories.
Here is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail. Throughout, examples and problems are furnished from the theory of relativity and continuum mechanics.
An Introduction To Tensor Calculus
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Author : Derek F. Lawden
language : en
Publisher: Courier Corporation
Release Date : 2012-03-07
An Introduction To Tensor Calculus written by Derek F. Lawden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-07 with Science categories.
This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult. Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in curved spaces and its application to general relativity theory. Topics include the special principle of relativity and Lorentz transformations; orthogonal transformations and Cartesian tensors; special relativity mechanics and electrodynamics; general tensor calculus and Riemannian space; and the general theory of relativity, including a focus on black holes and gravitational waves. The text concludes with a chapter offering a sound background in applying the principles of general relativity to cosmology. Numerous exercises advance the theoretical developments of the main text, thus enhancing this volume’s appeal to students of applied mathematics and physics at both undergraduate and postgraduate levels. Preface. List of Constants. References. Bibliography.
Tensor Analysis For Physicists
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Author : Jan Arnoldus Schouten
language : en
Publisher: Courier Corporation
Release Date : 1989-01-01
Tensor Analysis For Physicists written by Jan Arnoldus Schouten and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Science categories.
This rigorous and advanced mathematical explanation of classic tensor analysis was written by one of the founders of tensor calculus. Its concise exposition of the mathematical basis of the discipline is integrated with well-chosen physical examples of the theory, including those involving elasticity, classical dynamics, relativity, and Dirac's matrix calculus. 1954 edition.
An Introduction To Tensor Calculus And Relativity
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Author : Derek Frank Lawden
language : en
Publisher:
Release Date : 2013-08
An Introduction To Tensor Calculus And Relativity written by Derek Frank Lawden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08 with categories.
An Introduction To Tensor Calculus And Relativity
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Author : Derek F. Lawden
language : en
Publisher:
Release Date : 1962
An Introduction To Tensor Calculus And Relativity written by Derek F. Lawden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Calculus categories.
Principles Applications Of Tensor Analysis
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Author : Matthew S. Smith
language : en
Publisher:
Release Date : 1963
Principles Applications Of Tensor Analysis written by Matthew S. Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Calculus of tensors categories.
Tensor Analysis With Applications
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Author : Zafar Ahsan
language : en
Publisher: Anshan Pub
Release Date : 2008
Tensor Analysis With Applications written by Zafar Ahsan and has been published by Anshan Pub this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Calculus of tensors categories.
The principal aim of tensor analysis is to investigate the relations which remain valid when we change from one coordinate system to another. Albert Einstein found it to be an excellent tool for the presentation of his general theory of relativity and consequently tensor analysis came to prominence in mathematics. It has applications in most branches of theoretical physics and engineering. This present book is intended as a text for postgraduate students of mathematics, physics and engineering. It is self-contained and requires prior knowledge of elementary calculus, differential equations and classical mechanics. It consists of five chapters, each containing a large number of solved examples, unsolved problems and links to the solution of these problems. "Tensor Analysis with Applications" can be used on a selection of university courses, and will be a welcome addition to the library of maths, physics and engineering departments.
Tensor Analysis And Continuum Mechanics
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Author : Y.R. Talpaert
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Tensor Analysis And Continuum Mechanics written by Y.R. Talpaert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This book is designed for students in engineering, physics and mathematics. The material can be taught from the beginning of the third academic year. It could also be used for self study, given its pedagogical structure and the numerous solved problems which prepare for modem physics and technology. One of the original aspects of this work is the development together of the basic theory of tensors and the foundations of continuum mechanics. Why two books in one? Firstly, Tensor Analysis provides a thorough introduction of intrinsic mathematical entities, called tensors, which is essential for continuum mechanics. This way of proceeding greatly unifies the various subjects. Only some basic knowledge of linear algebra is necessary to start out on the topic of tensors. The essence of the mathematical foundations is introduced in a practical way. Tensor developments are often too abstract, since they are either aimed at algebraists only, or too quickly applied to physicists and engineers. Here a good balance has been found which allows these extremes to be brought closer together. Though the exposition of tensor theory forms a subject in itself, it is viewed not only as an autonomous mathematical discipline, but as a preparation for theories of physics and engineering. More specifically, because this part of the work deals with tensors in general coordinates and not solely in Cartesian coordinates, it will greatly help with many different disciplines such as differential geometry, analytical mechanics, continuum mechanics, special relativity, general relativity, cosmology, electromagnetism, quantum mechanics, etc ..