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May 13th, 2017, 06:51 PM  #1 
Newbie Joined: May 2017 From: UK Posts: 2 Thanks: 0  Topology for a Physics student
I am interested in exploring topology, however, am not sure where to start. I am a physics student going from first to second year. Could anyone suggest any introductory books appropriate for my mathematics, or if topology in itself is too complex to start, any books that give the prerequisites for it?

May 13th, 2017, 07:16 PM  #2 
Senior Member Joined: Aug 2012 Posts: 1,414 Thanks: 342 
Need to start with a solid course in real analysis IMO.
Last edited by Maschke; May 13th, 2017 at 07:20 PM. 
May 14th, 2017, 03:57 PM  #3 
Newbie Joined: May 2017 From: UK Posts: 2 Thanks: 0 
Are there any specific books you would recommend?

May 14th, 2017, 04:27 PM  #4 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,232 Thanks: 426 Math Focus: Yet to find out. 
Maybe Rudin . Although I've been wondering if there's a precursor to that book?

May 14th, 2017, 05:13 PM  #5 
Senior Member Joined: Aug 2012 Posts: 1,414 Thanks: 342 
I like Rudin but I studied it in a class with a brilliant professor and with the help of a TA and a study group. It's a hard book to work through by yourself. I'm not up on the latest real analysis books. Perhaps ask one of your professors.

May 15th, 2017, 03:44 AM  #6 
Senior Member Joined: Jun 2015 From: England Posts: 631 Thanks: 175 
I am guessing but if you are a UK Student of Physics, about to go from first year into second you mean you are studying at university for an undergraduate degree. I am further guessing from the fact that you have identified topology as an important subject that you intend to go on to modern theoretical physics. Modern Physics relies heavily on modern Mathematics but this can get very heavy very quickly, especially using full blown mathematical texts. There is also a great deal of new terminology and notation to absorb. The trick is to find books that bridge the gap between these texts and (extended) high school treatments. Please confirm or correct my reading of your request. I can then suggest a list to look out in your university library and consider. Meanwhile these books provide helpful bridges to all the pure maths a Physicist is likely to need. Introduction to Metric Spaces and Topology Sutherland Oxford University Press Surface Topology Firby & Gardiner Ellis Horwood Vector Calculus Matthews Springer Mathematical Analysis Binmore Cambridge University Press Fundamentals of Mathematical Analysis Haggarty Springer All offer modern treatments. 
May 15th, 2017, 04:14 AM  #7 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,232 Thanks: 426 Math Focus: Yet to find out.  This is very important (@OP). It is sometimes easy to think that any old book may do, so long as its reputable. However life can be made much easier if good choices are made when finding a bridging type book.


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