Topology and Geometry for Physicists (Dover Books on Mathematics)

I must say that this wonderful little book must be (and I recommend it as such) the first step for a physicist into the world of higher geometry (manifolds, differential forms, stokes theorem, curvature, etc), differential and algebraic topology where topics like Homotopy, Homology, Cohomology theories, the theory of Fiber bundles, characteristic classes and Morse theory appear. The authors are brilliant expositors and know their subject well, they oftenly give handiful insights into the subjects being treated and write so beautiful it makes think you are reading a Tolkien's story!. I believe this book should be a classic, for example I found it cited on another good book about group theory for particle physics (Costa and Fogli, Symmetries and Group Theory in Particle Physics), it is also cited in Nakahara. The book ends with some more physics like Yang-Mills theories from a geometric perspective where concepts like instatons and monopoles are treated. After this title you will be in a better position to address more terse books like Nakahara which at times requires a bit more of mathematical maturity. If I have to resume I would say it has been beautifully and clearly written, all in all, simply brilliant!!

Stephen Hawking's "A brief history of time" talked conceptually about quantum mechanics and its relation to the universe. Mathematics is the link to comprehending the origin of the conclusions that have been reached. While I lack the expertise to work out rigorous mathematical proof, the mathematical ideas are made tangible and applicable in this text. In a search for meaning in the world of physics one necessarily needs a compass for direction and it rests with having the necessary mathematical tools to do so.

This is a book about mathematics written for physicists. As such, proof are somewhat sketchy, and quite often things are used in proofs BEFORE they are defined.

The book presents several very interesting (and advanced) issues from topology and differential geometry with applications to (particle) physics. The book has been written for theoritical physicists which makes the book accessible to a large scientific public and not only for mathematician. The book is excellent. Many thanks.

Good introduction, but with several typos and unclear sections.

The very modest description of this used book's condition had me expecting less. It turned out to be in much better shape. The person, who sold the book, was definitely not trying to oversell it. I would buy another book from him any day.

Good book.

I haven't actually read this book, but from just skimming it, I see that it contains no exercises at all. Without any exercises, it would be really hard to use this book for self study, and hope to retain the material. Based on the reviews, it looks like the better books available on the topic are "Geometry, Topology and Physics" by Nakahara, and "The Geometry of Physics: An Introduction" by Frankel.

Perfect

Sucinto e direto. Prefiro livros assim. Tem discussões boas mas consegue ser direto e a linguagem é legal.

Very good, but a bit sketchy, not for beginners.

Excellent service. This book is somewhat old fashioned but, still a good source to the subject.

Tim K. me lo recomendó para adentrarme en el mundo de las variedades y temas de topología para relatividad general. El libro es conciso, tiene buenas explicaciones sin ser demasiado matemático, aunque no tiene ejercicios, realmente está bien logrado el libro. Si buscas ejercicios, no es el libro adecuado, pero te da las herramientas para tomar otros.