"One of the most remarkable developments of the last decade in the penetration of topological concepts into theoretical physics. Homotopy groups and fibre bundles have become everyday working tools. Most of the textbooks on these subjects were written with pure mathematicians in mind, however, and are unnecessarily opaque to people with a less rigorous background. This concise introduction will make the subject much more accessible. With plenty of simple examples, it strikes just the right balance between unnecessary mathematical pedantry and arm-waving woolliness...it can be thoroughly recommended.
--T.W.B. Kibble, PHYSICS BULLETIN --This text refers to an out of print or unavailable edition of this title.
This volume provides an easily comprehensible introduction to topological and geometrical methods in theoretical physics and applied mathematics. No detailed knowledge of topology or geometry is required in the reader, and advanced undergraduate or graduate physicists should have no difficulty in understanding the material.
The style and approach of the book reflect the fact that the authors are themselves physicists, and have taken trouble to clarify difficult mathematical concepts and to emphasize their physical motivation. The applications range from condensed matter physics and statistical mechanics to elementary particle theory, while the main mathematical topics are differential forms, homotopy, homology, cohomology, fibre bundles, connection and covariant derivatives and Morse theory. --This text refers to an out of print or unavailable edition of this title.
The book presents several very interesting (and advanced) issues from topology and differential geometry with applications to (particle) physics. Read morePublished 2 months ago by Samir
Good introduction, but with several typos and unclear sections.Published 10 months ago by Agustin Arguedas
The very modest description of this used book's condition had me expecting less. It turned out to be in much better shape. Read morePublished 18 months ago by readalot
I haven't actually read this book, but from just skimming it, I see that it contains no exercises at all. Read morePublished on February 4, 2013 by Technogeek
Stephen Hawking's "A brief history of time" talked conceptually about quantum mechanics and its relation to the universe. Read morePublished on January 4, 2013 by Integrity Todd
This book shows you the geometric view of some advanced mathematical topics. It can greatly assist your intuition of what is going on in a mathematical setting when reading a true... Read morePublished on January 15, 2004