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What are the best intuitive books/video lectures to read topology and functional analysis ? I am aware of basic linear algebra, analysis and measure theory.

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  • $\begingroup$ coursera had a great functional analysis class taught by a French Professor (Lectures were in English). Unfortunately they have take it down since the course is complete. :( $\endgroup$ – minibuffer Jul 3 '14 at 3:57
  • $\begingroup$ Off the top of my head, try Munkres for topology and Lax for functional analysis. Stein and Shakarchi have a functional book, though it includes other topics. $\endgroup$ – MRicci Jul 3 '14 at 4:22
  • $\begingroup$ Since videos are mentioned in the post, I have added (online-resources) tag. If you think it is not suitable here; feel free to remove this tag. $\endgroup$ – Martin Sleziak Jul 3 '14 at 5:41
  • $\begingroup$ I imagine the class Jack Dawkins is talking about is this one. It's being offered again in September $\endgroup$ – Tyler Jul 5 '14 at 22:28
  • $\begingroup$ Or one of the Ecole Normale Supérieure (ENS) $\endgroup$ – Julien__ Jul 10 '14 at 22:03
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here is my short list of Visual / intuitive books about Topology :

  • Intuitive Concepts in Elementary Topology. - Arnold
  • From Geometry To Topology - H. Graham Flegg
  • Classical Topology and Combinatorial Group Theory - John Stillwell
  • Three-Dimensional Geometry and Topology - Bill Thurston & Silvio Levy
  • The shape of space. - Jeff Weeks or https://www.youtube.com/watch?v=j3BlLo1QfmU

Other resources :

[EDIT] Most of these books are listed in the question about visual math books : are-there-other-nice-math-books-close-to-the-style-of-tristan-needham

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