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Author: Bernard Schutz
Publisher: Cambridge University Press
Published: 2009-05-14
Total Pages: 411
ISBN-13: 0521887054
DOWNLOAD EBOOK →Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.
Author: Bernard F. Schutz
Publisher: Cambridge University Press
Published: 1985-01-31
Total Pages: 396
ISBN-13: 9780521277037
DOWNLOAD EBOOK →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.
Author: Robert B. Scott
Publisher: Cambridge University Press
Published: 2016
Total Pages: 321
ISBN-13: 1107037913
DOWNLOAD EBOOK →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.
Author: James A. Foster
Publisher: Springer Science & Business Media
Published: 2010-04-30
Total Pages: 295
ISBN-13: 0387275835
DOWNLOAD EBOOK →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.
Author: Robert M. Wald
Publisher: University of Chicago Press
Published: 2010-05-15
Total Pages: 507
ISBN-13: 0226870375
DOWNLOAD EBOOK →"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
Author: R.K. Sachs
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 302
ISBN-13: 1461299039
DOWNLOAD EBOOK →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).
Author: James B. Hartle
Publisher: Cambridge University Press
Published: 2021-06-24
Total Pages: 610
ISBN-13: 1009051334
DOWNLOAD EBOOK →Renowned relativist James Hartle's fluent and accessible physics-first introduction to general relativity uses minimal new mathematics and begins with the essential physical applications. This ground-breaking text, reissued by Cambridge University Press, makes this fundamental theory accessible to virtually all physics majors.
Author: James J. Callahan
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 474
ISBN-13: 1475767366
DOWNLOAD EBOOK →Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.
Author: Klaas Landsman
Publisher: Radboud University Press
Published: 2021-10-08
Total Pages: 394
ISBN-13: 9083178927
DOWNLOAD EBOOK →This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.
