Item description for Gauge Fields, Knots, and Gravity (Series on Knots and Everything, Vol. 4) by John C. Baez & Javier P. Muniain...
This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 1" Width: 6" Height: 8.25" Weight: 1.4 lbs.
Publisher World Scientific Publishing Company
ISBN 9810220340 ISBN13 9789810220341
Availability 0 units.
More About John C. Baez & Javier P. Muniain
John C. Baez was born in 1961 and has an academic affiliation as follows - University of California.
Reviews - What do customers think about Gauge Fields, Knots, and Gravity (Series on Knots and Everything, Vol. 4)?
Fantastic Text Jul 18, 2005
I really enjoyed reading this book! A must have if you are interested in mathematical physics. Every page is a pedagogical masterpiece.
My favourite text of all time (so far) Sep 14, 2003
This book should be at the top of anyone's reading list who is planning to get into serious mathematical physics. It deals with a good deal of complex material, but the presentation is easy to follow, and shouldn't be beyond most advanced undergraduates. There are a lot of good exercises which fill in most of the gaps. (If you want a book heavy on detail, this book may not be for you. If you want a book that gives you all the tools you're going to need to get start understanding quantum gravity and other areas in a short time, get this book immediately!) It's a shame the paperback edition doesn't seem to be available anymore; it's half the price, and checking with the publisher reveals that the paperback edition is still in print.
An excellent book ! Dec 20, 2002
Covers many topics in Mathematical Physics with great clarity. Highly recommended for those who are interested in a modern approach to Mathematical Physics.
Perfect Jul 28, 2000
A beautifully written book which should be entitled "quantum gravity primer for the practical man". Clear and self-contained, this book will serve aa a small survey of mathematical physics, giving the reader tools in particle physics and gravity. Excellently motivated topics. Compact enough to bring with you anywhere. The only thing it fails at is dicing a proper tomato.
Worth its weight in gold! Jun 24, 1999
I think the review above by J. Pullin puts it very well. This is a great book, and a good place to get started (it also provides suggestions for further reading). The authors have done a fantastic job, and I highly recommend the book!