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1 of 1 people found the following review helpful
4.0 out of 5 stars A nice introductory book on mathematical physics, 11 May 2010
This review is from: Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics) (Paperback)
I think this is a nice book for people who start work in the area of mathematical physics. The content of the first chapter gives a broad introduction to quantum mechanics paying special attention to path integral quantization. The rest of the book deals mainly with topology (homology groups, homotopy classes, topological invariants like Chern numbers, etc.) and its application in quantum field theory, condensed-matter theory or general relativity. Throughout the chapters one can find a lot of examples and exercises which help to understand the theory. Therefore, I highly recommend this book as an introductory lecture.
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4 of 5 people found the following review helpful
5.0 out of 5 stars One of the best places to start..., 8 Oct 2006
By 
Andrew Bruce (UK) - See all my reviews
(REAL NAME)   
This review is from: Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics) (Paperback)
Nakahara's book is one of the best introductions to geometry and topology that I have read. I constantly use the book as the starting place for just about any topic in geometry and topolgy.

After reading the book you will not be able to jump straight into research work, but it does bridge the gap between more advanced texts and papers.

Everybody should have a copy.
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4.0 out of 5 stars Mistakes in this edition: Be warned!, 26 Feb 2013
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This review is from: Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics) (Paperback)
I must say that this edition contains some severe errors. In several places the mathematics has been wrongly transferred over from the old edition in key definitions such as those of the wedge product (those should be tensor products on the RHS) and topological spaces (that's a J in (ii), not a T) and elsewhere in the book. I'm not sure how many there are in total so I write this as a caution that if you aren't sure what you're doing it might be wise to check out an older edition. I don't know how it's happened but it has.

Other than that, class book and extremely useful for a starting-out theoretical physicist.
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3 of 6 people found the following review helpful
4.0 out of 5 stars Good graduate intro to Differential Geom, 1 Sep 2005
By 
Mr. B. I. Precious (London, Greater London United Kingdom) - See all my reviews
(VINE VOICE)    (REAL NAME)   
This review is from: Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics) (Paperback)
To complete this book, there should be a section on general curvilinear coordinate transformations, the ultimate foundation of tensor calculus.This is a defficiency this book shares with many differential geometry texts.But maybe this can be forgiven at graduate level, for which this book is a decent pedagogical text- if a little terse at times.
The book begins with a survey of those areas of physics to which diff geom are applied , then develops some topology, and goes on to a comprehensive discussion of the theory of finite dimensional manifolds-including a chapter on complex manifolds.You will learn basic exterior calculus, lie derivatives and covariant derivatives , and so on.A first choice for those who have had a little preparation at undergraduate level.
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