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A First Course in General Relativity, by Bernard Schutz
Free PDF A First Course in General Relativity, by Bernard Schutz
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Clarity, readability and rigor combine in the second edition of this widely-used textbook to provide the first step into general relativity for undergraduate students with a minimal background in mathematics. Topics within relativity that fascinate astrophysical researchers and students alike are covered with Schutz's characteristic ease and authority - from black holes to gravitational lenses, from pulsars to the study of the Universe as a whole. This edition now contains discoveries by astronomers that require general relativity for their explanation; a revised chapter on relativistic stars, including new information on pulsars; an entirely rewritten chapter on cosmology; and an extended, comprehensive treatment of modern detectors and expected sources. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, whilst the informal writing style makes the subject matter easily accessible.
- Sales Rank: #90689 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2009-06-22
- Original language: English
- Number of items: 1
- Dimensions: 9.69" h x .79" w x 7.44" l, 2.25 pounds
- Binding: Hardcover
- 406 pages
- Used Book in Good Condition
Review
"Schutz has done a masterful job of incorporating ... new developments into a revised edition, which is sure to become a new "classic." I look forward to teaching out of the second edition of "first course."
Clifford M Will, McDonnell Center for the Space Sciences, Washington University, St Louis
"This new edition retains all of the original's clarity and insight into the mathematical foundations of general relativity, but thoroughly updates the accounts of the application of the theory in astrophysics and cosmology, which have moved on considerably ... The result is an indispensable volume for anyone wishing to develop a deep and physically well-motivated understanding of relativistic gravitation, and this new edition will no doubt become a classic text in its own right."
Mike Hobson, Cavendish Laboratory, University of Cambridge
"Schutz has updated his eminently readable and eminently teachable A First Course in General Relativity. The result maintains the style of the first edition -- intuitively and physically motivated presentation of the subject. ... This text will be appreciated by any upper level undergraduate with an interest in cosmology, astrophysics, or experimentation in gravitational physics."
Richard Matzner, The Center for Relativity, University of Texas at Austin
"Well laid out, developing logically and amply illustrated. Absolutely recommended."
Times Higher Education Supplement
About the Author
Bernard Schutz has done research and teaching in general relativity and especially its applications in astronomy since 1970. He is the author of more than 200 publications, including Geometrical Methods of Mathematical Physics and Gravity from the Ground Up (both published by Cambridge University Press). Schutz currently specialises in gravitational wave research, studying the theory of potential sources and designing new methods for analysing the data from current and planned detectors. He is a member of most of the current large-scale gravitational wave projects: GEO600 (of which he is a PI), the LIGO Scientific Collaboration, and LISA. Schutz is a Director of the Max Planck Institute for Gravitational Physics, also known as the Albert Einstein Institute (AEI), in Potsdam, Germany. He holds a part-time chair in Physics and Astronomy at Cardiff University, Wales, as well as honorary professorships at Potsdam and Hanover universities in Germany. Educated in the USA, he taught physics and astronomy for twenty years at Cardiff before moving to Germany in 1995 to the newly-founded AEI. In 1998 he founded the open-access online journal Living Reviews in Relativity. The Living Reviews family now includes six journals. In 2006 he was awarded the Amaldi Gold Medal of the Italian Society for Gravitation (SIGRAV), and in 2011 he received an honorary DSc from the University of Glasgow. He is a Fellow of the American Physical Society and the Institute of Physics, an Honorary Fellow of the Royal Astronomical Society, and a member of the Learned Society of Wales, the German Academy of Natural Sciences Leopoldina and the Royal Society of Arts and Sciences, Uppsala.
Most helpful customer reviews
16 of 17 people found the following review helpful.
Good, but cumbersome notation
By Nate
I struggled through this book more than I was okay with while learning GR. Originally, I thought it was that difficult of a topic. But upon learning much more about GR and having much more experience, I still find this book to be a cumbersome read. The author never decides if he wants to use modern coordinate free notation or old school component only notation. He constantly swaps back and forth and only ever half develops anything from modern notation. It left me VERY confused when first learning this topic. Upon coming back to check it out recently, I now understand why. He does an extremely poor job of developing the notations together and, much more often than not, he leaves you confused.
When the author teaches and strictly stays with old school notation, the book does a fantastic job. But when he tries to incorporate modern notation, it's confusing.
After finding the book "A Student's Guide to Vectors and Tensors," I find that this book is rather mediocre. Fleisch did a drastically better job at teaching you everything up to the Riemann tensor. It's not even comparable. If I were suggesting a path to learn GR, I would say Fleisch, Zee, Carroll, Wald.
2 of 2 people found the following review helpful.
Perfect for an "even handed" first course
By BillN
This book is spot on perfect for a "first course" in general relativity (for an advanced undergraduate or graduate physics student). It does an excellent job of covering the basics in a comprehensive manner such that any advanced text or research paper should then be readable. Just be sure to read through the problem sections as thoroughly as the text, since they cover a lot of important material that would have made the text sections too cumbersome if included there (a lot of "Track 2" material is covered in the problems). Of course, additionally working several problems for each chapter is a must, because as usual, working problems is required to truly cement an understanding of any physics subject.
The book does an excellent job of blending both the "geometric" approach and the "component notation" approach to GR. Both are required for a comprehensive understanding of the subject, and Schutz adeptly explains and utilizes the relationships between both approaches while going through the material. Use of the equivalence principle is "sacrosanct" for a solid physical understanding of how gravitation works, as well as providing the "most straightforward" means of extending tensor formulation in special relativity (which Schutz presents in depth) to tensor formulation in curved spaces. Schutz does a beautiful job of utilizing the equivalence principle on both counts.
Of course, further reading will be required for a "complete education" in GR. The best understanding of how gravitation is "built" around use of the equivalence principle is Weinberg's book, as the book is indeed designed to demonstrate this. Weinberg's book may be the best "first book" for students requiring a solid "physical" approach to the subject (that's what worked for me, as opposed to the "pure geometry" approach favored by the math twits, hehe). MTW is the required "encyclopedic reference" that any practitioner in GR utilizes as an initial "look up" on anything, but it's way too "jumbled" to initially learn from it. Wald is a comprehensive textbook that covers the more advanced mathematical material and techniques required for practical GR based evaluation of most gravitational systems studied, but is not usually recommended as a "first course" on the subject (though it starts "from scratch"). Finally, any theorist attempting to develop new gravitational theory, will be "hamstrung" without first reading Will's book on experimental gravitation, which thoroughly presents the "theory of gravitational theories" (developed by the experimental gravitation community) by which any theory is ultimately judged (including GR). So all of these are required for an actual practitioner, but Schutz is the best comprehensive "first course" presenting an "even handed" approach to the subject.
3 of 3 people found the following review helpful.
A students review.
By alex
This book had 4.5 stars when I bought it and was very excited for it, but it turned out to be just eh. The content this book tries to convey is what is in my opinion the strong suit. I liked how the math was presented, and got a general feel for things. But it does not present some topics in a lucid manner, and sometimes leaves important results in a mess of random calculuations, the problem being you won't even know whats important or not if you're a beginner. Example: the friedmann equations for cosmological evolution are never even given a name. They're just there. The book basically spits all this stuff at you with no motivation whatsoever. This book also lacks figures, sometimes the way schutz tries to describe things are impossible to understand, where a simple diagram would make things infinitely easier. The book omits many steps I found important in derivations as well, and after reading a chapter you'll often get the feeling like you haven't learned anything.
There are good things about this book though. Its got pretty good descriptions of the math. It let me get a feel for diff geometry in a reasonable amount of time, which I would say is pretty impressive.
I would recommend the book by hartle for physical intuition and lucid motivations and derivations. But yeah, hopefully with Robert Scott's students manual this book will be nicer to work with. DEFINATELY not for self study, don't even try.
Just so you guys know. I don't hate this book as much as I hated, for example, kittels solid state book. That thing was just an abomination. And its definitely not on griffiths e&m level. But somewhere in between. I would say its leaning more towards griffiths, and that said its not an awful book, but its just a shame cause it could be SO much better with some work. Oh, forgot to mention. TYPOS galore.
/end rant
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