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best book for topology?
Please Suggest some good books on Topology and Functional Analysis. It would be good if somebody can post links of video lectures related to these. Thanks in advance!!
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1$\begingroup$ You might want to split this up into two questions; moreover, there may be duplicates of the resulting two questions. I can't imagine that we haven't had a thread on topology books. $\endgroup$ – Dylan Moreland Jun 21 '12 at 6:39
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$\begingroup$ Probably a good start: this and this and that and this and that. $\endgroup$ – Asaf Karagila♦ Jun 21 '12 at 6:40
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2$\begingroup$ We've had so many reference requests for topology books that there is a thread about topology threads. $\endgroup$ – Eugene Jun 21 '12 at 6:41
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$\begingroup$ @Eugene: Oh shucks, I had to go and search for these threads on my own... $\endgroup$ – Asaf Karagila♦ Jun 21 '12 at 6:42
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$\begingroup$ For videos (and other resources), you could try the web page of Joel Feinstein and his videos on YouTube: maths.nottingham.ac.uk/personal/jff/#Teach $\endgroup$ – Philip Brooker Jun 21 '12 at 22:54
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I really liked Topology by Munkres. It covers a lot of general topology.
For functional analysis I used Introductory Functional Analysis with Applications by Kreyszig. It is easy to use for beginners, but maybe other books cover more material.
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Currently working through Introduction to Topology by Bert Mendelson. It seems pretty good so far, rather easy. It is by Dover, so it was very cheap.
I am planning to work through Munkres later. It appears that Munkres is "the" Topology text book.
