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Apr 3, 2016 at 10:43 comment added Janus Boffin Here is the table of contents of Frankel's book from nLab written by Prof. Schreiber: ncatlab.org/nlab/show/The+Geometry+of+Physics+-+An+Introduction
Apr 3, 2016 at 10:27 comment added Janus Boffin A reason for studying Naber's book -- If you want to delve into the subtleties of Dirac monopole, i.e. Hopf fibration of $S^3$ (which describes the geometry of the Dirac monopole), I would recommend you this book for sure. Nash and Sen is a good book, too. However, my personal favourite (apart from Nakahara) is "The Geometry of Physics," by Theodore Frankel.
Oct 14, 2014 at 22:49 history made wiki Post Made Community Wiki by Qmechanic
Feb 14, 2013 at 21:39 comment added Prathyush You also asked about topics in topology relevant for physics. Apart from the basic definitions and so on, one of the most applied concepts is Homotopy. It is beautiful in itself, and it formalizes the concept of winding numbers to higher dimension. In physics it is commonly used to enumerate the topological solitons present in your theory.There are others, but I found Homotopy to be very important and useful.
Feb 14, 2013 at 21:29 comment added Prathyush I enjoyed reading Nash and Sen, It suited my taste, being less formal, and more intuitive. Nakahara is nice. Schwarz seemed good at first glance, but I havent read it.
Jun 15, 2012 at 8:40 comment added Nilay Kumar Sorry, I haven't heard anything of that book. However, judging by the absolutely ridiculous price on Amazon... Anyway, I was also flipping through Nash and Sen's book, and it seemed to treat topology in a very intuitive and clear manner, although at a mathematical price - Amazon reviewers claim that it isn't too mathematically rigorous/comprehensive.
Jun 12, 2012 at 13:48 vote accept CommunityBot
Jun 12, 2012 at 8:46 history answered Nilay Kumar CC BY-SA 3.0