A Student s Manual for A First Course in General Relativity

A Student s Manual for A First Course in General Relativity Author Robert B. Scott
ISBN-10 9781316445143
Release 2016-01-21
Pages
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This comprehensive student manual has been designed to accompany the leading textbook by Bernard Schutz, A First Course in General Relativity, and uses detailed solutions, cross-referenced to several introductory and more advanced textbooks, to enable self-learners, undergraduates and postgraduates to master general relativity through problem solving. The perfect accompaniment to Schutz's textbook, this manual guides the reader step-by-step through over 200 exercises, with clear easy-to-follow derivations. It provides detailed solutions to almost half of Schutz's exercises, and includes 125 brand new supplementary problems that address the subtle points of each chapter. It includes a comprehensive index and collects useful mathematical results, such as transformation matrices and Christoffel symbols for commonly studied spacetimes, in an appendix. Supported by an online table categorising exercises, a Maple worksheet and an instructors' manual, this text provides an invaluable resource for all students and instructors using Schutz's textbook.



A Student s Manual for A First Course in General Relativity

A Student s Manual for A First Course in General Relativity Author Robert B. Scott
ISBN-10 1107638577
Release 2016-01-21
Pages 370
Download Link Click Here

This comprehensive student manual has been designed to accompany the leading textbook by Bernard Schutz, A First Course in General Relativity, and uses detailed solutions, cross-referenced to several introductory and more advanced textbooks, to enable self-learners, undergraduates and postgraduates to master general relativity through problem solving. The perfect accompaniment to Schutz's textbook, this manual guides the reader step-by-step through over 200 exercises, with clear easy-to-follow derivations. It provides detailed solutions to almost half of Schutz's exercises, and includes 125 brand new supplementary problems that address the subtle points of each chapter. It includes a comprehensive index and collects useful mathematical results, such as transformation matrices and Christoffel symbols for commonly studied spacetimes, in an appendix. Supported by an online table categorising exercises, a Maple worksheet and an instructors' manual, this text provides an invaluable resource for all students and instructors using Schutz's textbook.



A Student s Manual for A First Course in General Relativity

A Student s Manual for A First Course in General Relativity Author
ISBN-10 9781107037915
Release
Pages
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A Student s Manual for A First Course in General Relativity has been writing in one form or another for most of life. You can find so many inspiration from A Student s Manual for A First Course in General Relativity also informative, and entertaining. Click DOWNLOAD or Read Online button to get full A Student s Manual for A First Course in General Relativity book for free.



A Student s Manual for A First Course in General Relativity

A Student s Manual for A First Course in General Relativity Author Robert B. Scott
ISBN-10 1139795449
Release 2015
Pages
Download Link Click Here

A Student s Manual for A First Course in General Relativity has been writing in one form or another for most of life. You can find so many inspiration from A Student s Manual for A First Course in General Relativity also informative, and entertaining. Click DOWNLOAD or Read Online button to get full A Student s Manual for A First Course in General Relativity book for free.



A First Course in General Relativity

A First Course in General Relativity Author Bernard Schutz
ISBN-10 9780521887052
Release 2009-05-14
Pages 393
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Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.



Geometrical Methods of Mathematical Physics

Geometrical Methods of Mathematical Physics Author Bernard F. Schutz
ISBN-10 9781107268142
Release 1980-01-28
Pages
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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.



Gravity from the Ground Up

Gravity from the Ground Up Author Bernard Schutz
ISBN-10 0521455065
Release 2003-12-04
Pages 462
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An accessible introduction to astronomy and general relativity, requiring only high-school level mathematics.



A Short Course in General Relativity

A Short Course in General Relativity Author James Foster
ISBN-10 0387275835
Release 2010-04-30
Pages 292
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Suitable for a one-semester course in general relativity for senior undergraduates or beginning graduate students, this text clarifies the mathematical aspects of Einstein's theory of relativity without sacrificing physical understanding.



A First Course in Loop Quantum Gravity

A First Course in Loop Quantum Gravity Author Rodolfo Gambini
ISBN-10 9780191003233
Release 2011-09-22
Pages 192
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This book provides an accessible introduction to loop quantum gravity and some of its applications, at a level suitable for undergraduate students and others with only a minimal knowledge of college level physics. In particular it is not assumed that the reader is familiar with general relativity and only minimally familiar with quantum mechanics and Hamiltonian mechanics. Most chapters end with problems that elaborate on the text, and aid learning. Applications such as loop quantum cosmology, black hole entropy and spin foams are briefly covered. The text is ideally suited for an undergraduate course in the senior year of a physics major. It can also be used to introduce undergraduates to general relativity and quantum field theory as part of a 'special topics' type of course.



Gravitation and Spacetime

Gravitation and Spacetime Author Hans C. Ohanian
ISBN-10 9781107012943
Release 2013-04-08
Pages 528
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This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students.



Einstein Gravity in a Nutshell

Einstein Gravity in a Nutshell Author A. Zee
ISBN-10 9781400847457
Release 2013-05-05
Pages 888
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This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativity Guides readers from Newtonian mechanics to the frontiers of modern research Emphasizes symmetry and the Einstein-Hilbert action Covers topics not found in standard textbooks on Einstein gravity Includes interesting historical asides Features numerous exercises and detailed appendices Ideal for students, physicists, and scientifically minded lay readers Solutions manual (available only to teachers)



Analysis and Algebra on Differentiable Manifolds

Analysis and Algebra on Differentiable Manifolds Author Pedro M. Gadea
ISBN-10 9789400759527
Release 2012-12-30
Pages 618
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This is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. Many of the definitions and theorems used throughout are explained in the first section of each chapter where they appear. A 56-page collection of formulae is included which can be useful as an aide-mémoire, even for teachers and researchers on those topics. In this 2nd edition: • 76 new problems • a section devoted to a generalization of Gauss’ Lemma • a short novel section dealing with some properties of the energy of Hopf vector fields • an expanded collection of formulae and tables • an extended bibliography Audience This book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics and some branches of engineering with a rudimentary knowledge of linear and multilinear algebra.



Numerical Relativity

Numerical Relativity Author Thomas W. Baumgarte
ISBN-10 9780521514071
Release 2010-06-24
Pages 698
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Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.



Gravity

Gravity Author Eric Poisson
ISBN-10 9781107032866
Release 2014-05-29
Pages 792
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A unique graduate textbook that develops powerful approximation methods and their applications to real-life astrophysical systems.



An Introduction to General Relativity

An Introduction to General Relativity Author L. P. Hughston
ISBN-10 052133943X
Release 1990
Pages 183
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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.



Introduction to General Relativity Black Holes and Cosmology

Introduction to General Relativity  Black Holes  and Cosmology Author Yvonne Choquet-Bruhat
ISBN-10 9780199666454
Release 2015-01-20
Pages 279
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General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.



General Relativity

General Relativity Author M. P. Hobson
ISBN-10 0521829518
Release 2006-02-02
Pages 572
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General Relativity: An Introduction for Physicists provides a clear mathematical introduction to Einstein's theory of general relativity. It presents a wide range of applications of the theory, concentrating on its physical consequences. After reviewing the basic concepts, the authors present a clear and intuitive discussion of the mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are then used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is then introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle. Written for advanced undergraduate and graduate students, this approachable textbook contains over 300 exercises to illuminate and extend the discussion in the text.