Special Relativity Tensors And Energy Tensor With Worked Problems
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Special Relativity Tensors And Energy Tensor With Worked Problems
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Author : Somnath Datta
language : en
Publisher: World Scientific
Release Date : 2021-03-02
Special Relativity Tensors And Energy Tensor With Worked Problems written by Somnath Datta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-02 with Science categories.
This book takes the reader from the preliminary ideas of the Special Theory of Relativity (STR) to the doorsteps of the General Theory of Relativity (GTR).The first part explains the main concepts in a layman's language, including STR, the Lorentz transformation, relativistic mechanics. Thereafter the concept of tensors is built up in detail, especially Maxwell's stress tensor with illustrative examples, culminating in the energy-momentum conservation in electromagnetic fields. Mathematical structure of Minkowski's space-time is constructed and explained graphically. The equation of motion is formulated and then illustrated by the example of relativistic rocket. The principle of covariance is explained with the covariant equations of classical electrodynamics. Finally, the book constructs the energy tensor which constitutes the source term in Einstein's field equation, which clears the passage to the GTR.In the book, the concepts of tensors are developed carefully and a large number of numerical examples taken from atomic and nuclear physics. The graphs of important equations are included. This is suitable for studies in classical electrodynamics, modern physics, and relativity.
Special Relativity Tensors And Energy Tensor
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Author : Somnath Datta
language : en
Publisher:
Release Date : 1901
Special Relativity Tensors And Energy Tensor written by Somnath Datta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1901 with Continuum mechanics categories.
Special Relativity
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Author : Michael Tsamparlis
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-17
Special Relativity written by Michael Tsamparlis 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 2010-05-17 with Science categories.
Writing a new book on the classic subject of Special Relativity, on which numerous important physicists have contributed and many books have already been written, can be like adding another epicycle to the Ptolemaic cosmology. Furthermore, it is our belief that if a book has no new elements, but simply repeats what is written in the existing literature, perhaps with a different style, then this is not enough to justify its publication. However, after having spent a number of years, both in class and research with relativity, I have come to the conclusion that there exists a place for a new book. Since it appears that somewhere along the way, mathem- ics may have obscured and prevailed to the degree that we tend to teach relativity (and I believe, theoretical physics) simply using “heavier” mathematics without the inspiration and the mastery of the classic physicists of the last century. Moreover current trends encourage the application of techniques in producing quick results and not tedious conceptual approaches resulting in long-lasting reasoning. On the other hand, physics cannot be done a ́ la carte stripped from philosophy, or, to put it in a simple but dramatic context A building is not an accumulation of stones! As a result of the above, a major aim in the writing of this book has been the distinction between the mathematics of Minkowski space and the physics of r- ativity.
Problem Book In Relativity And Gravitation
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Author : Alan P. Lightman
language : en
Publisher: Princeton University Press
Release Date : 2017-09-01
Problem Book In Relativity And Gravitation written by Alan P. Lightman and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-01 with Science categories.
An essential resource for learning about general relativity and much more, from four leading experts Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds. In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity.
Classical Field Theory And The Stress Energy Tensor
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Author : Mark S. Swanson
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2015-10-12
Classical Field Theory And The Stress Energy Tensor written by Mark S. Swanson and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-12 with Science categories.
This book is a concise introduction to the key concepts of classical field theory for beginning graduate students and advanced undergraduate students who wish to study the unifying structures and physical insights provided by classical field theory without dealing with the additional complication of quantization. In that regard, there are many important aspects of field theory that can be understood without quantizing the fields. These include the action formulation, Galilean and relativistic invariance, traveling and standing waves, spin angular momentum, gauge invariance, subsidiary conditions, fluctuations, spinor and vector fields, conservation laws and symmetries, and the Higgs mechanism, all of which are often treated briefly in a course on quantum field theory.
Special Relativity
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Author : Valerio Faraoni
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-15
Special Relativity written by Valerio Faraoni 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 2013-08-15 with Science categories.
This book offers an essential bridge between college-level introductions and advanced graduate-level books on special relativity. It begins at an elementary level, presenting and discussing the basic concepts normally covered in college-level works, including the Lorentz transformation. Subsequent chapters introduce the four-dimensional worldview implied by the Lorentz transformations, mixing time and space coordinates, before continuing on to the formalism of tensors, a topic usually avoided in lower-level courses. The book’s second half addresses a number of essential points, including the concept of causality; the equivalence between mass and energy, including applications; relativistic optics; and measurements and matter in Minkowski space-time. The closing chapters focus on the energy-momentum tensor of a continuous distribution of mass-energy and its co-variant conservation; angular momentum; a discussion of the scalar field of perfect fluids and the Maxwell field; and general coordinates. Every chapter is supplemented by a section with numerous exercises, allowing readers to practice the theory. These exercises constitute an essential part of the textbook, and the solutions to approximately half of them are provided in the appendix.
Tensors
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Author : AHSAN, ZAFAR
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2015-05-21
Tensors written by AHSAN, ZAFAR and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-21 with Mathematics categories.
The principal aim of analysis of tensors is to investigate those relations which remain valid when we change from one coordinate system to another. This book on Tensors requires only a knowledge of elementary calculus, differential equations and classical mechanics as pre-requisites. It provides the readers with all the information about the tensors along with the derivation of all the tensorial relations/equations in a simple manner. The book also deals in detail with topics of importance to the study of special and general relativity and the geometry of differentiable manifolds with a crystal clear exposition. The concepts dealt within the book are well supported by a number of solved examples. A carefully selected set of unsolved problems is also given at the end of each chapter, and the answers and hints for the solution of these problems are given at the end of the book. The applications of tensors to the fields of differential geometry, relativity, cosmology and electromagnetism is another attraction of the present book. This book is intended to serve as text for postgraduate students of mathematics, physics and engineering. It is ideally suited for both students and teachers who are engaged in research in General Theory of Relativity and Differential Geometry.
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.
Tensors
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Author : Anadi Jiban Das
language : en
Publisher: Springer
Release Date : 2010-10-29
Tensors written by Anadi Jiban Das and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-29 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.
Relativity Demystified
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Author : David McMahon
language : en
Publisher: McGraw Hill Professional
Release Date : 2005-12-23
Relativity Demystified written by David McMahon and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-23 with Technology & Engineering categories.
In Relativity Demystified a physicist explains Einstein's theory of relativity in layman's terms, minus heavy-duty discussion or formal mathematics. Author David McMahon gradually builds up readers' practical skills to a point where they can eventually solve real problems in the field of general relativity. The book offers examples that vary in complexity from textbook-like problems to real-world situations from actual current research. Relativity Demystified also focused on quick definitions and demonstrations of procedures needed to solve problems.