Good books for learning topology

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SUMMARY

Topology is essential for modern theoretical physics, and several key texts are recommended for learning the subject. Notable books include "Topology without Tears" by Sidney Morris, which is available for free online, and "Topology" by James Munkres, praised for its clarity despite its higher cost. Additionally, "Real Analysis" by H.L. Royden is suggested, particularly for those willing to engage with the exercises. Utilizing university libraries to access various topology resources is also advised for a comprehensive understanding.

PREREQUISITES
  • Understanding of basic mathematical concepts and terminology
  • Familiarity with abstract algebra and set theory
  • Basic knowledge of mathematical proofs and problem-solving techniques
  • Interest in the applications of topology in theoretical physics
NEXT STEPS
  • Explore "Topology without Tears" by Sidney Morris for foundational concepts
  • Study "Topology" by James Munkres for a comprehensive understanding of the subject
  • Review "Real Analysis" by H.L. Royden to strengthen problem-solving skills
  • Visit Jon Baez's website for additional resources and insights into topology's relevance in physics
USEFUL FOR

This discussion is beneficial for students of mathematics, theoretical physicists, and anyone interested in deepening their understanding of topology and its applications in physics.

Ed Quanta
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How useful is topology for physics? And what are soome good books for learning topology. I find a lot of the definitions in textbooks way too abstract and not giving examples of the topological spaces they are defining. Drop some titles if you have a moment.
 
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For modern theoretical physics it appears indispensible. Look at Jon Baez's website to see some stuff that might interest you.

www.math.ucr.edu

thence faculty > baez > home page and browse the back issues of this week's finds etc.

if you want to throw yourself in at the deep end then I can suggest other stuff but i think it would be totally inappropriate at this stage.
 
You could take a look at Sidney Morris' "Topology without tears", you can get it for free at his website http://uob-community.ballarat.edu.au/~smorris/topology.htm .
 
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Munkres is good. It was quite pricy, but well worth the cost, when I bought it. You might try a local university library to look at topolgy books.
 
NateTG said:
Munkres is good. It was quite pricy, but well worth the cost, when I bought it. You might try a local university library to look at topolgy books.
^^^

munkres is very clear. other books such as royden are good but only if you do the exercises (he gives you very little...you basically learn everything from the problems). like nate said, i would recommend you go to the library and get a few different top books. the more different sources the easier it is to understand.
 

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