# The Special Theory of Relativity

The book expounds the major topics in the special theory of relativity.

Author: Farook Rahaman

Publisher: Springer

ISBN: 9788132220800

Category: Science

Page: 249

View: 436

The book expounds the major topics in the special theory of relativity. It provides a detailed examination of the mathematical foundation of the special theory of relativity, relativistic mass, relativistic mechanics and relativistic electrodynamics. As well as covariant formulation of relativistic mechanics and electrodynamics, the book discusses the relativistic effect on photons. Using a mathematical approach, the text offers graduate students a clear, concise view of the special theory of relativity. Organized into 14 chapters and two appendices, the content is presented in a logical order, and every topic has been dealt with in a simple and lucid manner. To aid understanding of the subject, the book provides numerous relevant worked examples in every chapter. The book’s mathematical approach helps students in their independent study and motivates them to research the topic further.
Categories: Science

# The General Theory of Relativity

The book aims to expound the general theory of relativity with a mathematical point of view.

Author: Farook Rahaman

Publisher: Cambridge University Press

ISBN: 1108837999

Category: Science

Page: 400

View: 359

The book aims to expound the general theory of relativity with a mathematical point of view. Catering to the needs of postgraduate students and researchers in the field of astrophysics and mathematical physics, it offers the readers a comprehensive understanding of the advanced topics of the subject matter. It specifically discusses the mathematical foundation of tensor calculus, gives a background of geodesics, Einstein's field equations, linearised gravity, spacetime of spherically symmetric distribution of matter and black holes, and particle and photon orbits in spacetime. Apart from the formulation of general relativity, Lie derivatives and its applications, and causality of spacetime are also discussed in detail. Certain preliminary concepts of extrinsic curvature, Lagrangian formalism of general theory of relativity and 3 + 1 decomposition of space-time are covered and are provided in the book as appendices.
Categories: Science

# Einstein s Theory of Special Relativity

Dr. Trimble will make Einstein's theory of special relativity entertaining, engaging and attainable. Plan for some enjoyable afternoons of fun and learning.

Author: George Trimble

Publisher:

ISBN: 1514285630

Category:

Page: 160

View: 760

RelativitySimple, Shocking, WorthwhileThe mathematics is SIMPLE. Only high school algebra is used. It is the concepts that are difficult to grasp because they require you to set aside commonly held notions about reality and accept truths that are profoundly counterintuitive. Special Relativity is shocking. From simple premises come mind-bending corollaries that excite the imagination. Ideas like time travel, length contraction, time dilation, and the twin paradox are all easily understood with an understanding of Einstein's great theorem.While conceptually challenging, it is worth the effort! Dr. Trimble will make Einstein's theory of special relativity entertaining, engaging and attainable. Plan for some enjoyable afternoons of fun and learning.
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# The Physical and Mathematical Foundations of the Theory of Relativity

The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates ...

Author: Antonio Romano

Publisher: Springer Nature

ISBN: 9783030272371

Category: Science

Page: 496

View: 637

This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.
Categories: Science

# Quantum Theory

This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures – a fact not usually emphasized in standard physics textbooks – which ...

Author: Peter Bongaarts

Publisher: Springer

ISBN: 9783319095615

Category: Science

Page: 445

View: 513

This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures – a fact not usually emphasized in standard physics textbooks – which makes it easy for mathematicians to understand their basic features. It is a textbook on quantum theory intended for advanced undergraduate or graduate students: mathematics students interested in modern physics, and physics students who are interested in the mathematical background of physics and are dissatisfied with the level of rigor in standard physics courses. More generally, it offers a valuable resource for all mathematicians interested in modern physics, and all physicists looking for a higher degree of mathematical precision with regard to the basic concepts in their field.
Categories: Science

# General Relativity

Solutions and hints to selected exercises

Author: Malcolm Ludvigsen

Publisher: Cambridge University Press

ISBN: 052163976X

Category: Mathematics

Page: 217

View: 270

Solutions and hints to selected exercises
Categories: Mathematics

# Mathematical Problems of General Relativity I

This book is intended for advanced students and researchers seeking an introduction into the methods and applications of general relativity.

Author: Demetrios Christodoulou

Publisher: European Mathematical Society

ISBN: 3037190051

Category: Mathematics

Page: 147

View: 258

The domain of application of Einstein's general relativity theory is astronomical systems. One of the mathematical methods analyzed and exploited in the present volume is an extension of Noether's fundamental principle connecting symmetries to conserved quantities. This book is intended for advanced students and researchers seeking an introduction into the methods and applications of general relativity.
Categories: Mathematics

# General Relativity

Based on a course taught for years at Oxford, this book offers a concise exposition of the central ideas of general relativity.

Author: N.M.J. Woodhouse

Publisher: Springer Science & Business Media

ISBN: 1846284872

Category: Science

Page: 220

View: 367

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.
Categories: Science

# A Mathematical Journey to Relativity

This book opens with an axiomatic description of Euclidean and non-Euclidean geometries.

Publisher: Springer Nature

ISBN: 9783030478940

Category:

Page:

View: 317

Categories:

# Discovering Relativity for Yourself

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.

Author: Lilley

Publisher: CUP Archive

ISBN: 052129780X

Category: Science

Page: 425

View: 873

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.
Categories: Science

# FUNDAMENTALS OF SPECIAL AND GENERAL RELATIVITY Revised Edition

This book is intended for the undergraduate and postgraduate students of Physics and Mathematics.

Author: KRORI, K. D.

Publisher: PHI Learning Pvt. Ltd.

ISBN: 9789388028684

Category: Science

Page: 332

View: 419

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
Categories: Science

# Special Relativity

Special Relativity: A Heuristic Approach provides a qualitative exposition of relativity theory on the basis of the constancy of the speed of light.

Publisher: Elsevier

ISBN: 9780128104248

Category: Science

Page: 380

View: 168

Special Relativity: A Heuristic Approach provides a qualitative exposition of relativity theory on the basis of the constancy of the speed of light. Using Einstein's signal velocity as the defining idea for the notion of simultaneity and the fact that the speed of light is independent of the motion of its source, chapters delve into a qualitative exposition of the relativity of time and length, discuss the time dilation formula using the standard light clock, explore the Minkowski four-dimensional space-time distance based on how the time dilation formula is derived, and define the components of the two-dimensional space-time velocity, amongst other topics. Provides a heuristic derivation of the Minkowski distance formula Uses relativistic photography to see Lorentz transformation and vector algebra manipulation in action Includes worked examples to elucidate and complement the topic being discussed Written in a very accessible style
Categories: Science

# General Systems Theory

As suggested by the title of this book, I will present a collection of coherently related applications and a theoretical development of a general systems theory.

Author: Yi Lin

Publisher: Springer Science & Business Media

ISBN: 9780306469626

Category: Science

Page: 382

View: 99

As suggested by the title of this book, I will present a collection of coherently related applications and a theoretical development of a general systems theory. Hopefully, this book will invite all readers to sample an exciting and challenging (even fun!) piece of interdisciplinary research, that has characterized the scientific and technological achievements of the twentieth century. And, I hope that many of them will be motivated to do additional reading and to contribute to topics along the lines described in the following pages. Since the applications in this volume range through many scientific disciplines, from sociology to atomic physics, from Einstein’s relativity theory to Dirac’s quan tum mechanics, from optimization theory to unreasonable effectiveness of mathe matics to foundations of mathematical modeling, from general systems theory to Schwartz’s distributions, special care has been given to write each application in a language appropriate to that field. That is, mathematical symbols and abstractions are used at different levels so that readers in various fields will find it possible to read. Also, because of the wide range of applications, each chapter has been written so that, in general, there is no need to reference a different chapter in order to understand a specific application. At the same time, if a reader has the desire to go through the entire book without skipping any chapter, it is strongly suggested to refer back to Chapters 2 and 3 as often as possible.
Categories: Science

# Understanding Relativity

"An extraordinarily well-written, well-researched, and carefully thought out piece of work.

Author: Leo Sartori

Publisher: Univ of California Press

ISBN: 9780520200296

Category: Science

Page: 367

View: 926

"An extraordinarily well-written, well-researched, and carefully thought out piece of work. . . . The discussions of the paradoxes of relativity and of cosmology are the best discussions of these topics at an elementary level that I have ever seen."—Roger A. Freedman, University of California, Santa Barbara
Categories: Science

# Special Relativity for Beginners

This book, first appearing in German in 2004 under the title Spezielle Relativit_tstheorie f_r Studienanf_nger, offers access to the special theory of relativity for readers with a background in mathematics and physics comparable to a ...

Author: Jrgen Freund

Publisher: World Scientific

ISBN: 9789812771599

Category: Science

Page: 314

View: 976

This book, first appearing in German in 2004 under the title Spezielle Relativittstheorie fr Studienanfnger, offers access to the special theory of relativity for readers with a background in mathematics and physics comparable to a high school honors degree. All mathematical and physical competence required beyond that level is gradually developed through the book, as more advanced topics are introduced. The full tensor formalism, however, is dispensed with as it would only be a burden for the problems to be dealt with. Eventually, a substantial and comprehensive treatise on special relativity emerges which, with its gray-shaded formulary, is an invaluable reference manual for students and scientists alike.Some crucial results are derived more than once with different approaches: the Lorentz transformation in one spatial direction three times, the Doppler formula four times, the Lorentz transformation in two directions twice; also twice the unification of electric and magnetic forces, the velocity addition formula, as well as the aberration formula. Beginners will be grateful to find several routes to the goal; moreover, for a theory like relativity, it is of fundamental importance to demonstrate that it is self-contained and without contradictions.Author's website: www.relativity.ch.
Categories: Science

# Elementary Approach to Special Relativity

This book presents an alternative representation of Einstein's Special Theory of Relativity, which makes Special Relativity much more comprehensible.

Author: Helmut Günther

Publisher: Springer Nature

ISBN: 9789811531682

Category: Science

Page: 362

View: 437

This book presents an alternative representation of Einstein's Special Theory of Relativity, which makes Special Relativity much more comprehensible. Moreover, one will come across a fundamental relationship between the Special Theory of Relativity and the mechanics of space lattice. In all previous formulations, the Einsteinian special principle of relativity, in one or the other form is used as the starting point for Special Relativity. In correspondence to this principle, one takes it as granted apriori, that all observers independent of their uniform motion to each other measure one and the same propagation velocity of a light signal. This book is thought of as a lecture for physicists, mathematicians and computer scientists and concentrates on the students of these fields. The book should reach a broad circle of interested readers from the fields of natural sciences and philosophy and provide and invigorating experience for engineers.
Categories: Science

# Einstein s General Theory of Relativity

This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds.

Author: Øyvind Grøn

Publisher: Springer Science & Business Media

ISBN: 9780387692005

Category: Science

Page: 538

View: 903

This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.
Categories: Science

# Very Special Relativity

Using a series of easy-to-follow diagrams and elementary geometry, this visual guide to Einstein's Theory of Relativity explores fundamental concepts such as simultaneity, causality, and time dilation.

Author: Sander Bais

Publisher: Harvard University Press

ISBN: 067402611X

Category: Mathematics

Page: 120

View: 341

Using a series of easy-to-follow diagrams and elementary geometry, this visual guide to Einstein's Theory of Relativity explores fundamental concepts such as simultaneity, causality, and time dilation.
Categories: Mathematics

# Explorations in Mathematical Physics

What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics.

Author: Don Koks

Publisher: Springer Science & Business Media

ISBN: 9780387327938

Category: Science

Page: 539

View: 901

Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
Categories: Science

# Einstein

In his younger days, he sometimes disparaged the role that pure math could play.
But during his final push toward a general theory of relativity, it was the
mathematical approach that ended up putting him across the goal line. From then
on, he ...

Author: Walter Isaacson

Publisher: Simon and Schuster

ISBN: 9781847395894

Category: Biography & Autobiography

Page: 704

View: 658

NOW A MAJOR SERIES 'GENIUS' ON NATIONAL GEOGRAPHIC, PRODUCED BY RON HOWARD AND STARRING GEOFFREY RUSH Einstein is the great icon of our age: the kindly refugee from oppression whose wild halo of hair, twinkling eyes, engaging humanity and extraordinary brilliance made his face a symbol and his name a synonym for genius. He was a rebel and nonconformist from boyhood days. His character, creativity and imagination were related, and they drove both his life and his science. In this marvellously clear and accessible narrative, Walter Isaacson explains how his mind worked and the mysteries of the universe that he discovered. Einstein's success came from questioning conventional wisdom and marvelling at mysteries that struck others as mundane. This led him to embrace a worldview based on respect for free spirits and free individuals. All of which helped make Einstein into a rebel but with a reverence for the harmony of nature, one with just the right blend of imagination and wisdom to transform our understanding of the universe. This new biography, the first since all of Einstein's papers have become available, is the fullest picture yet of one of the key figures of the twentieth century. This is the first full biography of Albert Einstein since all of his papers have become available -- a fully realised portrait of this extraordinary human being, and great genius. Praise for EINSTEIN by Walter Isaacson:- 'YOU REALLY MUST READ THIS.' Sunday Times 'As pithy as Einstein himself.’ New Scientist ‘[A] brilliant biography, rich with newly available archival material.’ Literary Review ‘Beautifully written, it renders the physics understandable.’ Sunday Telegraph ‘Isaacson is excellent at explaining the science. ' Daily Express
Categories: Biography & Autobiography