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Author : Somnath Datta
Publisher :
ISBN 13 : 9789811228124
Total Pages : 384 pages
Book Rating : 4.2/5 (281 download)
Download or read book Special Relativity, Tensors, and Energy Tensor written by Somnath Datta and published by . This book was released on 1901 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Somnath Datta
Publisher : World Scientific
ISBN 13 : 9811228132
Total Pages : 384 pages
Book Rating : 4.8/5 (112 download)
Download or read book Special Relativity, Tensors, And Energy Tensor: With Worked Problems written by Somnath Datta and published by World Scientific. This book was released on 2021-03-02 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Michael Tsamparlis
Publisher : Springer Nature
ISBN 13 : 3031317068
Total Pages : 492 pages
Book Rating : 4.0/5 (313 download)
Download or read book Solved Problems and Systematic Introduction to Special Relativity written by Michael Tsamparlis and published by Springer Nature. This book was released on with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Tsamparlis
Publisher : Springer Science & Business Media
ISBN 13 : 3642038379
Total Pages : 605 pages
Book Rating : 4.6/5 (42 download)
Download or read book Special Relativity written by Michael Tsamparlis and published by Springer Science & Business Media. This book was released on 2010-05-17 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Anadi Jiban Das
Publisher : Springer Science & Business Media
ISBN 13 : 0387694692
Total Pages : 300 pages
Book Rating : 4.3/5 (876 download)
Download or read book Tensors written by Anadi Jiban Das and published by Springer Science & Business Media. This book was released on 2007-10-05 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Alan P. Lightman
Publisher : Princeton University Press
ISBN 13 : 1400889014
Total Pages : 616 pages
Book Rating : 4.4/5 (8 download)
Download or read book Problem Book in Relativity and Gravitation written by Alan P. Lightman and published by Princeton University Press. This book was released on 2017-09-01 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Giancarlo Bernacchi
Publisher : Lulu.com
ISBN 13 : 1326292536
Total Pages : 302 pages
Book Rating : 4.3/5 (262 download)
Download or read book TENSORS made easy with SOLVED PROBLEMS written by Giancarlo Bernacchi and published by Lulu.com. This book was released on 2015-06 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: -- New MARCH 2021 REVISED RELEASE -- A friendly and non-formal approach to a subject of abstract mathematics that has important applications in physics, especially in General Relativity, but also in other fields. The purpose of the book is mainly didactic and requires some mathematical background (differential calculus, partial derivatives included).
Author : Derek F. Lawden
Publisher : Courier Corporation
ISBN 13 : 9780486132143
Total Pages : 224 pages
Book Rating : 4.1/5 (321 download)
Download or read book An Introduction to Tensor Calculus written by Derek F. Lawden and published by Courier Corporation. This book was released on 2012-03-07 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Günter Ludyk
Publisher : Springer Science & Business Media
ISBN 13 : 3642357989
Total Pages : 202 pages
Book Rating : 4.6/5 (423 download)
Download or read book Einstein in Matrix Form written by Günter Ludyk and published by Springer Science & Business Media. This book was released on 2013-06-12 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without too much new mathematics. The fundamental equations of Einstein's theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This feature makes the book special and a valuable tool for scientists and engineers with no experience in the field of tensor calculus. In part I the foundations of Special Relativity are developed, part II describes the structure and principle of General Relativity. Part III explains the Schwarzschild solution of spherical body gravity and examines the "Black Hole" phenomenon. Any necessary mathematical tools are user friendly provided, either directly in the text or in the appendices.
Author : Robert Hermann
Publisher : Math-Sci Press
ISBN 13 : 9780915692033
Total Pages : 132 pages
Book Rating : 4.6/5 (92 download)
Download or read book Energy Momentum Tensors written by Robert Hermann and published by Math-Sci Press. This book was released on 1973 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Y.R. Talpaert
Publisher : Springer Science & Business Media
ISBN 13 : 9401599882
Total Pages : 602 pages
Book Rating : 4.4/5 (15 download)
Download or read book Tensor Analysis and Continuum Mechanics written by Y.R. Talpaert and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ..
Author : Paul Renteln
Publisher : Cambridge University Press
ISBN 13 : 1107042194
Total Pages : 343 pages
Book Rating : 4.1/5 (7 download)
Download or read book Manifolds, Tensors and Forms written by Paul Renteln and published by Cambridge University Press. This book was released on 2014 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.
Author : Ilya L. Shapiro
Publisher : Springer Nature
ISBN 13 : 3030268950
Total Pages : 324 pages
Book Rating : 4.0/5 (32 download)
Download or read book A Primer in Tensor Analysis and Relativity written by Ilya L. Shapiro and published by Springer Nature. This book was released on 2019-08-30 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : AHSAN, ZAFAR
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 812035088X
Total Pages : 242 pages
Book Rating : 4.1/5 (23 download)
Download or read book TENSORS written by AHSAN, ZAFAR and published by PHI Learning Pvt. Ltd.. This book was released on 2015-05-21 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Anadi Jiban Das
Publisher : Springer
ISBN 13 : 9780387517674
Total Pages : 0 pages
Book Rating : 4.5/5 (176 download)
Download or read book Tensors written by Anadi Jiban Das and published by Springer. This book was released on 2008-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Robert Wasserman
Publisher : Oxford University Press, USA
ISBN 13 : 9780198510598
Total Pages : 468 pages
Book Rating : 4.5/5 (15 download)
Download or read book Tensors and Manifolds written by Robert Wasserman and published by Oxford University Press, USA. This book was released on 2004 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets forth the basic principles of tensors and manifolds and describes how the mathematics underlies elegant geometrical models of classical mechanics, relativity and elementary particle physics.
Author : Thomas A. Moore
Publisher :
ISBN 13 : 9781320894395
Total Pages : pages
Book Rating : 4.8/5 (943 download)
Download or read book A General Relativity Workbook written by Thomas A. Moore and published by . This book was released on 2015-03-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
