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Harry Gindi
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Peter May has as really good introductory algebraic topology book available for free on his website: http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf .

However, I don't think it will help you at all in programming.

Edit: Some people have suggested that you might want a general topology book. If so, read Bourbaki's book on topology. It's probably the most modern treatment of the subect even though it was published some 50-60 years ago. It uses filters to work with more general notions of convergence, and defines metric spaces in terms of uniform spaces, which is where they should naturally live. It's very systematic and very dry, but it's an absolutely excellent book.

I'm only going to say this very vaguely, and don't ask me where, but I've HEARD from people that someone recently scanned both books and that they're floating around on the internet. I can't say anything else.

Peter May has as really good introductory algebraic topology book available for free on his website: http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf .

However, I don't think it will help you at all in programming.

Edit: Some people have suggested that you might want a general topology book. If so, read Bourbaki's book on topology. It's probably the most modern treatment of the subect even though it was published some 50-60 years ago. It uses filters to work with more general notions of convergence, and defines metric spaces in terms of uniform spaces, which is where they should naturally live. It's very systematic and very dry, but it's an absolutely excellent book.

Peter May has as really good introductory algebraic topology book available for free on his website: http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf .

However, I don't think it will help you at all in programming.

Edit: Some people have suggested that you might want a general topology book. If so, read Bourbaki's book on topology. It's probably the most modern treatment of the subect even though it was published some 50-60 years ago. It uses filters to work with more general notions of convergence, and defines metric spaces in terms of uniform spaces, which is where they should naturally live. It's very systematic and very dry, but it's an absolutely excellent book.

I'm only going to say this very vaguely, and don't ask me where, but I've HEARD from people that someone recently scanned both books and that they're floating around on the internet. I can't say anything else.

added 470 characters in body
Source Link
Harry Gindi
  • 19.6k
  • 16
  • 123
  • 215

Peter May has as really good introductory algebraic topology book available for free on his website: http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf .

However, I don't think it will help you at all in programming.

Edit: Some people have suggested that you might want a general topology book. If so, read Bourbaki's book on topology. It's probably the most modern treatment of the subect even though it was published some 50-60 years ago. It uses filters to work with more general notions of convergence, and defines metric spaces in terms of uniform spaces, which is where they should naturally live. It's very systematic and very dry, but it's an absolutely excellent book.

Peter May has as really good introductory algebraic topology book available for free on his website: http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf .

However, I don't think it will help you at all in programming.

Peter May has as really good introductory algebraic topology book available for free on his website: http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf .

However, I don't think it will help you at all in programming.

Edit: Some people have suggested that you might want a general topology book. If so, read Bourbaki's book on topology. It's probably the most modern treatment of the subect even though it was published some 50-60 years ago. It uses filters to work with more general notions of convergence, and defines metric spaces in terms of uniform spaces, which is where they should naturally live. It's very systematic and very dry, but it's an absolutely excellent book.

Source Link
Harry Gindi
  • 19.6k
  • 16
  • 123
  • 215

Peter May has as really good introductory algebraic topology book available for free on his website: http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf .

However, I don't think it will help you at all in programming.