A Short Course in General Relativity and Cosmology

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Publisher : Springer Nature
ISBN 13 : 3030463842
Total Pages : 296 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis A Short Course in General Relativity and Cosmology by : Reinhard Hentschke

Download or read book A Short Course in General Relativity and Cosmology written by Reinhard Hentschke and published by Springer Nature. This book was released on 2020-06-23 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike most traditional introductory textbooks on relativity and cosmology that answer questions like “Does accelerated expansion pull our bodies apart?”, “Does the presence of dark matter affect the classical tests of general relativity?” in a qualitative manner, the present text is intended as a foundation, enabling students to read and understand the textbooks and many of the scientific papers on the subject. And, above all, the readers are taught and encouraged to do their own calculations, check the numbers and answer the above and other questions regarding the most exciting discoveries and theoretical developments in general relativistic cosmology, which have occurred since the early 1980s. In comparison to these intellectual benefits the text is short. In fact, its brevity without neglect of scope or mathematical accessibility of key points is rather unique. The authors connect the necessary mathematical concepts and their reward, i.e. the understanding of an important piece of modern physics, along the shortest path. The unavoidable mathematical concepts and tools are presented in as straightforward manner as possible. Even though the mathematics is not very difficult, it certainly is beneficial to know some statistical thermodynamics as well as some quantum mechanics. Thus the text is suitable for the upper undergraduate curriculum.

A Short Course in General Relativity

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387275835
Total Pages : 295 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis A Short Course in General Relativity by : James A. Foster

Download or read book A Short Course in General Relativity written by James A. Foster and published by Springer Science & Business Media. This book was released on 2010-04-30 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Short Course in General Relativity

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Author :
Publisher : Springer
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis A Short Course in General Relativity by : J. Foster

Download or read book A Short Course in General Relativity written by J. Foster and published by Springer. This book was released on 1995 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable as a one-semester course in general relativity for senior undergraduate or beginning graduate students, this text clarifies the mathematical aspects of Einstein's general theory of relativity without sacrificing physical understanding. The text begins with an exposition of those aspects of tensor calculus and differential geometry needed for a proper exposition of the subject. The discussion then turns to the spacetime of general relativity and to geodesic motion, comparisons and contrasts with Newton's theory being drawn where appropriate. A brief consideration of the field equations is followed by a discussion of physics in the vicinity of massive objects, including an elementary treatment of black holes. Particular attention is paid to those aspects of the theory that have observational consequences. The book concludes with brief introductory chapters on gravitational radiation and cosmology, and includes an appendix that reviews the special theory of relativity. In preparing this new edition, the authors have made extensive revisions to the original text. In particular, the first three chapters -- covering coordinate systems, tensors and the geometry of curved spaces -- have been completely rewritten to make the material readily accessible to physics students. Many examples, exercises and problems help guide the student through the theory.

Relativity, Gravitation and Cosmology

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Publisher : Oxford University Press
ISBN 13 : 0199573638
Total Pages : 452 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Relativity, Gravitation and Cosmology by : Ta-Pei Cheng

Download or read book Relativity, Gravitation and Cosmology written by Ta-Pei Cheng and published by Oxford University Press. This book was released on 2010 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to Einstein's general theory of relativity, this work is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus.

General Relativity and Cosmology

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Author :
Publisher : Springer Nature
ISBN 13 : 303061574X
Total Pages : 315 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis General Relativity and Cosmology by : Ronald J. Adler

Download or read book General Relativity and Cosmology written by Ronald J. Adler and published by Springer Nature. This book was released on 2021-01-22 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gravitational physics has now become a mainstream topic in physics and physics teaching. In particular cosmology and gravitational wave physics are at the focus of a great deal of current research. Thus it is important to introduce students to General Relativity as soon as reasonable. This textbook offers a brief but comprehensive treatment accessible to advanced undergraduate students, graduate students, and any physicist or mathematician interested in understanding the material in a short time. The author, an experienced teacher of the subject, has included numerous examples and exercises to help students consolidate the ideas they have learned. Solutions to the exercises are provided as supplementary material in the online chapters.

A First Course in General Relativity

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Publisher : Cambridge University Press
ISBN 13 : 0521887054
Total Pages : 411 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis A First Course in General Relativity by : Bernard Schutz

Download or read book A First Course in General Relativity written by Bernard Schutz and published by Cambridge University Press. This book was released on 2009-05-14 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.

A First Course in General Relativity

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Publisher : Cambridge University Press
ISBN 13 : 9780521277037
Total Pages : 396 pages
Book Rating : 4.2/5 (77 download)

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Book Synopsis A First Course in General Relativity by : Bernard F. Schutz

Download or read book A First Course in General Relativity written by Bernard F. Schutz and published by Cambridge University Press. This book was released on 1985-01-31 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth.

Geometrical Methods of Mathematical Physics

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Publisher : Cambridge University Press
ISBN 13 : 1107268141
Total Pages : 272 pages
Book Rating : 4.1/5 (72 download)

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Book Synopsis Geometrical Methods of Mathematical Physics by : Bernard F. Schutz

Download or read book Geometrical Methods of Mathematical Physics written by Bernard F. Schutz and published by Cambridge University Press. This book was released on 1980-01-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

General Relativity and Cosmology

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Author :
Publisher : Springer
ISBN 13 : 9783319327464
Total Pages : 400 pages
Book Rating : 4.3/5 (274 download)

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Book Synopsis General Relativity and Cosmology by : Salvatore Capozziello

Download or read book General Relativity and Cosmology written by Salvatore Capozziello and published by Springer. This book was released on 2016-08-31 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an excellent introduction to General Relativity and Cosmology. It is designed to serve as a self-contained text for graduate and advanced undergraduate students and also to provide a basic text for PhD courses. Each of the four parts of the book, two basic and two advanced, can be used as an independent module. In the first part, the main concepts of General Relativity are presented, while the second offers an introduction to the astrophysical applications. The third part is advanced, and discusses the extensions of General Relativity; the contents represent ideal material for a short course at PhD level. The final part of the book provides an introduction to Relativistic Cosmology and its applications. Throughout the text, all mathematical calculations are explained clearly, in step by step detail. Whenever appropriate, the reader is guided to further specialized sources of information.

An Introduction to Tensor Calculus and Relativity

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Publisher :
ISBN 13 : 9781258787417
Total Pages : 184 pages
Book Rating : 4.7/5 (874 download)

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Book Synopsis An Introduction to Tensor Calculus and Relativity by : Derek Frank Lawden

Download or read book An Introduction to Tensor Calculus and Relativity written by Derek Frank Lawden and published by . This book was released on 2013-08 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to General Relativity, Black Holes, and Cosmology

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Author :
Publisher : Oxford University Press, USA
ISBN 13 : 0199666466
Total Pages : 301 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Introduction to General Relativity, Black Holes, and Cosmology by : Yvonne Choquet-Bruhat

Download or read book Introduction to General Relativity, Black Holes, and Cosmology written by Yvonne Choquet-Bruhat and published by Oxford University Press, USA. This book was released on 2015 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to General Relativity and Cosmology

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Publisher : Cambridge University Press
ISBN 13 : 113945840X
Total Pages : 18 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis An Introduction to General Relativity and Cosmology by : Jerzy Plebanski

Download or read book An Introduction to General Relativity and Cosmology written by Jerzy Plebanski and published by Cambridge University Press. This book was released on 2006-08-14 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and in this book they provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.

General Relativity and Cosmology

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Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis General Relativity and Cosmology by : Tai L. Chow

Download or read book General Relativity and Cosmology written by Tai L. Chow and published by . This book was released on 1994 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tensors, Relativity, and Cosmology

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Publisher : Academic Press
ISBN 13 : 0128034017
Total Pages : 276 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Tensors, Relativity, and Cosmology by : Mirjana Dalarsson

Download or read book Tensors, Relativity, and Cosmology written by Mirjana Dalarsson and published by Academic Press. This book was released on 2015-07-08 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors, Relativity, and Cosmology, Second Edition, combines relativity, astrophysics, and cosmology in a single volume, providing a simplified introduction to each subject that is followed by detailed mathematical derivations. The book includes a section on general relativity that gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes and Penrose processes), and considers the energy-momentum tensor for various solutions. In addition, a section on relativistic astrophysics discusses stellar contraction and collapse, neutron stars and their equations of state, black holes, and accretion onto collapsed objects, with a final section on cosmology discussing cosmological models, observational tests, and scenarios for the early universe. This fully revised and updated second edition includes new material on relativistic effects, such as the behavior of clocks and measuring rods in motion, relativistic addition of velocities, and the twin paradox, as well as new material on gravitational waves, amongst other topics. Clearly combines relativity, astrophysics, and cosmology in a single volume Extensive introductions to each section are followed by relevant examples and numerous exercises Presents topics of interest to those researching and studying tensor calculus, the theory of relativity, gravitation, cosmology, quantum cosmology, Robertson-Walker Metrics, curvature tensors, kinematics, black holes, and more Fully revised and updated with 80 pages of new material on relativistic effects, such as relativity of simultaneity and relativity of the concept of distance, amongst other topics Provides an easy-to-understand approach to this advanced field of mathematics and modern physics by providing highly detailed derivations of all equations and results

A Most Incomprehensible Thing

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Author :
Publisher : Incomprehensible Books
ISBN 13 : 0957389469
Total Pages : 276 pages
Book Rating : 4.9/5 (573 download)

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Book Synopsis A Most Incomprehensible Thing by : Peter Collier

Download or read book A Most Incomprehensible Thing written by Peter Collier and published by Incomprehensible Books. This book was released on 2017-04-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A First Course in General Relativity

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1108586597
Total Pages : pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis A First Course in General Relativity by : Bernard Schutz

Download or read book A First Course in General Relativity written by Bernard Schutz and published by Cambridge University Press. This book was released on 2022-05-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Clarity, readability, and rigor combine in the third edition of this widely used textbook to provide the first step into general relativity for advanced undergraduates with a minimal background in mathematics. Topics within relativity that fascinate astrophysics researchers and students alike are covered with Schutz's characteristic ease and authority, from black holes to relativistic objects, from pulsars to the study of the Universe as a whole. This third edition contains discoveries by astronomers that require general relativity for their explanation; two chapters on gravitational waves, including direct detections of gravitational waves and their observations' impact on cosmological measurements; new information on black holes and neutron stars; and greater insight into the expansion of the Universe. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, while the informal writing style and worked examples make the subject matter easily accessible.

General Relativity Without Calculus

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Publisher : Springer Science & Business Media
ISBN 13 : 9783642214523
Total Pages : 128 pages
Book Rating : 4.2/5 (145 download)

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Book Synopsis General Relativity Without Calculus by : Jose Natario

Download or read book General Relativity Without Calculus written by Jose Natario and published by Springer Science & Business Media. This book was released on 2011-08-01 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: “General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding.