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Relativity Math Updated and Revised for the Rest of Us

Relativity Math Updated and Revised for the Rest of Us
Author: Louis S. Jagerman, M.d.
Publisher: CreateSpace
Total Pages: 512
Release: 2014-08-18
Genre: Science
ISBN: 9781500888367

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The author's strategy is to rely on fundamental geometry, algebra and logic as a basis for an understanding of special and general relativity, as well as their relationship to quantum mechanics, suitable for the amateur scientist or mathematician. The text has been updated to include recent developments. The book may also be of value to undergraduate students.


The Mathematics of Relativity for the Rest of Us

The Mathematics of Relativity for the Rest of Us
Author: Louis S. Jagerman
Publisher: Trafford Publishing
Total Pages: 456
Release: 2001
Genre: Science
ISBN: 155212567X

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The Mathematics of Relativity for the Rest of Us is intended to give the generally educated reader a thorough and factual understanding of Einstein's theory of relativity - including the difficult mathematical concepts, even if the reader is not trained in higher mathematics.


Relativity Simply Explained

Relativity Simply Explained
Author: Martin Gardner
Publisher: Courier Corporation
Total Pages: 207
Release: 2012-12-19
Genre: Science
ISBN: 0486315614

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One of the subject's clearest, most entertaining introductions offers lucid explanations of special and general theories of relativity, gravity, and spacetime, models of the universe, and more. 100 illustrations.


A Mathematical Journey to Relativity

A Mathematical Journey to Relativity
Author: Wladimir-Georges Boskoff
Publisher: Springer Nature
Total Pages: 556
Release:
Genre:
ISBN: 303154823X

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Mathematics of Relativity

Mathematics of Relativity
Author: George Yuri Rainich
Publisher: Courier Corporation
Total Pages: 193
Release: 2014-11-19
Genre: Science
ISBN: 0486783251

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Based on the ideas of Einstein and Minkowski, this concise treatment is derived from the author's many years of teaching the mathematics of relativity at the University of Michigan. Geared toward advanced undergraduates and graduate students of physics, the text covers old physics, new geometry, special relativity, curved space, and general relativity. Beginning with a discussion of the inverse square law in terms of simple calculus, the treatment gradually introduces increasingly complicated situations and more sophisticated mathematical tools. Changes in fundamental concepts, which characterize relativity theory, and the refinements of mathematical technique are incorporated as necessary. The presentation thus offers an easier approach without sacrifice of rigor. Dover (2014) republication of the edition published by John Wiley & Sons, New York, 1950. See every Dover book in print at www.doverpublications.com


The General Theory of Relativity

The General Theory of Relativity
Author: Anadijiban Das
Publisher: Springer Science & Business Media
Total Pages: 694
Release: 2012-06-26
Genre: Science
ISBN: 1461436583

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The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: tensor analysis the special theory of relativity the general theory of relativity and Einstein’s field equations spherically symmetric solutions and experimental confirmations static and stationary space-time domains black holes cosmological models algebraic classifications and the Newman-Penrose equations the coupled Einstein-Maxwell-Klein-Gordon equations appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland, Jadavpur University, India, Carnegie-Mellon University, USA, and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory. Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.


General Relativity

General Relativity
Author: N.M.J. Woodhouse
Publisher: Springer Science & Business Media
Total Pages: 218
Release: 2007-03-06
Genre: Science
ISBN: 1846284872

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Based on a course taught for years at Oxford, this book offers a concise exposition of the central ideas of general relativity. The focus is on the chain of reasoning that leads to the relativistic theory from the analysis of distance and time measurements in the presence of gravity, rather than on the underlying mathematical structure. Includes links to recent developments, including theoretical work and observational evidence, to encourage further study.


FUNDAMENTALS OF SPECIAL AND GENERAL RELATIVITY, Revised Edition

FUNDAMENTALS OF SPECIAL AND GENERAL RELATIVITY, Revised Edition
Author: KRORI, K. D.
Publisher: PHI Learning Pvt. Ltd.
Total Pages: 332
Release:
Genre: Science
ISBN: 9388028686

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Relativity, apart from quantum mechanics, is the greatest wonder in science, unfolded single-handedly in the 20th century by Albert Einstein. The scientist developed general relativity as a logical sequel to special relativity. This comprehensive book presents explication of the conceptual evolution and mathematical derivations of the theories of special and general relativity. The book follows an Einsteinian approach while explaining the concepts and the theories of relativity. Divided into 14 chapters, the revised edition of the book covers elementary concepts of Special relativity, as well as the advanced studies on General relativity. The recent theories like Kerr geometry, Sagnac effect, Vaidya geometry, Raychaudhuri equation and Gravitation physics vis-à-vis Quantum physics are presented in easy-to-understand language and simple style. In addition to it, the book gives an in-depth analysis on the applications of advanced theories like Vaidya-Krori-Barua solution from author’s own research works. Apart from that, the book also discusses some of the isotropic and anisotropic cosmological models, in detail. The salient topics discussed in the revised edition of the book are extrinsic curvature, detection of gravitational waves, early universe, evolution of a dead star into a white dwarf or a neutron star or a black hole, dark matter and dark energy. This book is intended for the undergraduate and postgraduate students of Physics and Mathematics. KEY FEATURES • Step-by-step derivation of equations • Easy demagogic approach • Review questions to widen the analytical understanding of the students


Discovering Relativity for Yourself

Discovering Relativity for Yourself
Author: Lilley
Publisher: Cambridge University Press
Total Pages: 454
Release: 1981-03-31
Genre: Science
ISBN: 9780521230384

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Discovering Relativity for yourself explains Einstein's Theory of Relativity to readers who are daunted by the standard mathematical approach to that profound theory. For twenty years Sam Lilley taught this subject to adults with no science background. Now he has written an explanation of the theory that demands no prior knowledge of mathematics or physics beyond an ability to do simple arithmetic. The first quarter of the book uses no more than arithmetic and a little simple geometry to introduce some of the main concepts of the theory, as well as discussing an impressive experimental test, which comes down strongly in its favour. When eventually further progress demands use of algebra and other mathematical techniques, these are carefully explained in a way that makes them accessible to absolute beginners, using many new and unorthodox methods.


An Introduction to General Relativity

An Introduction to General Relativity
Author: L. P. Hughston
Publisher: Cambridge University Press
Total Pages: 196
Release: 1990
Genre: Mathematics
ISBN: 9780521339438

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This textbook provides an introduction to general relativity for mathematics undergraduates or graduate physicists. After a review of Cartesian tensor notation and special relativity the concepts of Riemannian differential geometry are introducted. More emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition. General relativity is then presented as a relativistic theory of gravity reducing in the appropriate limits to Newtonian gravity or special relativity. The Schwarzchild solution is derived and the gravitational red-shift, time dilation and classic tests of general relativity are discussed. There is a brief account of gravitational collapse and black holes based on the extended Schwarzchild solution. Other vacuum solutions are described, motivated by their counterparts in linearised general relativity. The book ends with chapters on cosmological solutions to the field equations. There are exercises attached to each chapter, some of which extend the development given in the text.