General Relativity For Mathematicians

General Relativity For Mathematicians Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of General Relativity For Mathematicians book. This book definitely worth reading, it is an incredibly well-written.

General Relativity for Mathematicians

R.K. Sachs,H.-H. Wu
General Relativity for Mathematicians Book PDF

Author : R.K. Sachs,H.-H. Wu
Publisher : Springer Science & Business Media
Page : 302 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461299035

Get Book

General Relativity for Mathematicians by R.K. Sachs,H.-H. Wu Pdf

This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).

General Relativity for Mathematicians

R.K. Sachs,H.-H. Wu
General Relativity for Mathematicians Book PDF

Author : R.K. Sachs,H.-H. Wu
Publisher : Springer
Page : 292 pages
File Size : 41,9 Mb
Release : 2012-01-24
Category : Mathematics
ISBN : 1461299055

Get Book

General Relativity for Mathematicians by R.K. Sachs,H.-H. Wu Pdf

This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).

General Relativity for Mathematicians

Rainer Sachs,H.-H. Wu
General Relativity for Mathematicians Book PDF

Author : Rainer Sachs,H.-H. Wu
Publisher : Springer
Page : 292 pages
File Size : 47,5 Mb
Release : 2012-02-20
Category : Mathematics
ISBN : 1461299047

Get Book

General Relativity for Mathematicians by Rainer Sachs,H.-H. Wu Pdf

This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).

General Relativity

N.M.J. Woodhouse
General Relativity Book PDF

Author : N.M.J. Woodhouse
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 47,8 Mb
Release : 2007-03-06
Category : Science
ISBN : 9781846284878

Get Book

General Relativity by N.M.J. Woodhouse Pdf

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.

An Introduction to Mathematical Relativity

José Natário
An Introduction to Mathematical Relativity Book PDF

Author : José Natário
Publisher : Springer Nature
Page : 186 pages
File Size : 47,5 Mb
Release : 2021-03-24
Category : Mathematics
ISBN : 9783030656836

Get Book

An Introduction to Mathematical Relativity by José Natário Pdf

This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics. It emerged from lecture notes originally conceived for a one-semester course in Mathematical Relativity which has been taught at the Instituto Superior Técnico (University of Lisbon, Portugal) since 2010 to Masters and Doctorate students in Mathematics and Physics. Mostly self-contained, and mathematically rigorous, this book can be appealing to graduate students in Mathematics or Physics seeking specialization in general relativity, geometry or partial differential equations. Prerequisites include proficiency in differential geometry and the basic principles of relativity. Readers who are familiar with special relativity and have taken a course either in Riemannian geometry (for students of Mathematics) or in general relativity (for those in Physics) can benefit from this book.

A Mathematical Introduction To General Relativity

Amol Sasane
A Mathematical Introduction To General Relativity Book PDF

Author : Amol Sasane
Publisher : World Scientific
Page : 500 pages
File Size : 51,7 Mb
Release : 2021-08-10
Category : Science
ISBN : 9789811243790

Get Book

A Mathematical Introduction To General Relativity by Amol Sasane Pdf

The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition-theorem-proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena that are counter-intuitive to everyday experiences.In the first part, the differential geometry of smooth manifolds, which is needed to present the spacetime-based gravitation theory, is developed from scratch. Here, many of the illustrating examples are the Lorentzian manifolds which later serve as spacetime models. This has the twofold purpose of making the physics forthcoming in the second part relatable, and the mathematics learnt in the first part less dry. The book uses the modern coordinate-free language of semi-Riemannian geometry. Nevertheless, to familiarise the reader with the useful tool of coordinates for computations, and to bridge the gap with the physics literature, the link to coordinates is made through exercises, and via frequent remarks on how the two languages are related.In the second part, the focus is on physics, covering essential material of the 20th century spacetime-based view of gravity: energy-momentum tensor field of matter, field equation, spacetime examples, Newtonian approximation, geodesics, tests of the theory, black holes, and cosmological models of the universe.Prior knowledge of differential geometry or physics is not assumed. The book is intended for self-study, and the solutions to the (over 200) exercises are included.

Einstein’s Italian Mathematicians: Ricci, Levi-Civita, and the Birth of General Relativity

Judith R. Goodstein
Einstein s Italian Mathematicians Ricci Levi Civita and the Birth of General Relativity Book PDF

Author : Judith R. Goodstein
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 54,5 Mb
Release : 2018-07-20
Category : Calculus of tensors
ISBN : 9781470428464

Get Book

Einstein’s Italian Mathematicians: Ricci, Levi-Civita, and the Birth of General Relativity by Judith R. Goodstein Pdf

In the first decade of the twentieth century as Albert Einstein began formulating a revolutionary theory of gravity, the Italian mathematician Gregorio Ricci was entering the later stages of what appeared to be a productive if not particularly memorable career, devoted largely to what his colleagues regarded as the dogged development of a mathematical language he called the absolute differential calculus. In 1912, the work of these two dedicated scientists would intersect—and physics and mathematics would never be the same. Einstein's Italian Mathematicians chronicles the lives and intellectual contributions of Ricci and his brilliant student Tullio Levi-Civita, including letters, interviews, memoranda, and other personal and professional papers, to tell the remarkable, little-known story of how two Italian academicians, of widely divergent backgrounds and temperaments, came to provide the indispensable mathematical foundation—today known as the tensor calculus—for general relativity.

An Introduction to General Relativity

L. P. Hughston,K. P. Tod
An Introduction to General Relativity Book PDF

Author : L. P. Hughston,K. P. Tod
Publisher : Cambridge University Press
Page : 196 pages
File Size : 40,8 Mb
Release : 1990
Category : Mathematics
ISBN : 052133943X

Get Book

An Introduction to General Relativity by L. P. Hughston,K. P. Tod Pdf

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.

General Relativity

Robert M. Wald
General Relativity Book PDF

Author : Robert M. Wald
Publisher : University of Chicago Press
Page : 507 pages
File Size : 53,6 Mb
Release : 2010-05-15
Category : Science
ISBN : 9780226870373

Get Book

General Relativity by Robert M. Wald Pdf

"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

A Most Incomprehensible Thing

Peter Collier
A Most Incomprehensible Thing Book PDF

Author : Peter Collier
Publisher : Incomprehensible Books
Page : 276 pages
File Size : 50,5 Mb
Release : 2017-04-01
Category : Science
ISBN : 9780957389465

Get Book

A Most Incomprehensible Thing by Peter Collier Pdf

A straightforward, enjoyable guide to the mathematics of Einstein's relativity To really understand Einstein's theory of relativity – one of the cornerstones of modern physics – you have to get to grips with the underlying mathematics. This self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. With a user-friendly style, clear step-by-step mathematical derivations, many fully solved problems and numerous diagrams, this book provides a comprehensive introduction to a fascinating but complex subject. For those with minimal mathematical background, the first chapter gives a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes, relativistic cosmology and gravitational waves. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes. "I must observe that the theory of relativity resembles a building consisting of two separate stories, the special theory and the general theory. The special theory, on which the general theory rests, applies to all physical phenomena with the exception of gravitation; the general theory provides the law of gravitation and its relations tothe other forces of nature." – Albert Einstein, 1919 Understand even the basics of Einstein's amazing theory and the world will never seem the same again. Contents: Preface Introduction 1 Foundation mathematics 2 Newtonian mechanics 3 Special relativity 4 Introducing the manifold 5 Scalars, vectors, one-forms and tensors 6 More on curvature 7 General relativity 8 The Newtonian limit 9 The Schwarzschild metric 10 Schwarzschild black holes 11 Cosmology 12 Gravitational waves Appendix: The Riemann curvature tensor Bibliography Acknowledgements January 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

Curvature in Mathematics and Physics

Shlomo Sternberg
Curvature in Mathematics and Physics Book PDF

Author : Shlomo Sternberg
Publisher : Courier Corporation
Page : 416 pages
File Size : 41,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9780486292717

Get Book

Curvature in Mathematics and Physics by Shlomo Sternberg Pdf

Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.

Relativity Made Relatively Easy

Andrew M. Steane
Relativity Made Relatively Easy Book PDF

Author : Andrew M. Steane
Publisher : Oxford University Press
Page : 436 pages
File Size : 52,8 Mb
Release : 2012-10-04
Category : Science
ISBN : 9780199662852

Get Book

Relativity Made Relatively Easy by Andrew M. Steane Pdf

This book unfolds the subject of Relativity for undergraduate students of physics. It fills a gap between introductory descriptions and texts for researchers. Assuming almost no prior knowledge, it allows the student to handle all the Relativity needed for a university course, with explanations as simple, thorough, and engaging as possible.

Advanced General Relativity

John Stewart,John M. Stewart
Advanced General Relativity Book PDF

Author : John Stewart,John M. Stewart
Publisher : Cambridge University Press
Page : 244 pages
File Size : 51,8 Mb
Release : 1993-11-26
Category : Science
ISBN : 0521449464

Get Book

Advanced General Relativity by John Stewart,John M. Stewart Pdf

A self-contained introduction to advanced general relativity.

General Relativity for Mathematicians

R. K. Sachs,H. Wu
General Relativity for Mathematicians Book PDF

Author : R. K. Sachs,H. Wu
Publisher : Dover Publications
Page : 304 pages
File Size : 44,6 Mb
Release : 2007-01
Category : Mathematics
ISBN : 048646153X

Get Book

General Relativity for Mathematicians by R. K. Sachs,H. Wu Pdf

Geared toward mathematically sophisticated readers with a solid background in differential geometry, this text was written by two noted teachers at the University of California, Berkeley. It offers a firm foundation in the principles of general relativity, particularly in terms of singularity theorems and the quantization of gravity. Starting with preliminaries that include notation, physics background, and a preview of relativity, the text advances to spacetimes and observers. A three-part treatment of electromagnetism and matter progresses from basic concepts to interactions and other matter models. Subsequent chapters explore the Einstein field equation, photons, cosmology, and applications. Exercises appear at the end of each section, and the text concludes with optional drills offering further explorations of relativity and Newtonian analogues.

Geometrical Methods of Mathematical Physics

Bernard F. Schutz
Geometrical Methods of Mathematical Physics Book PDF

Author : Bernard F. Schutz
Publisher : Cambridge University Press
Page : 128 pages
File Size : 50,9 Mb
Release : 1980-01-28
Category : Science
ISBN : 9781107268142

Get Book

Geometrical Methods of Mathematical Physics by Bernard F. Schutz Pdf

In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.