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. :( $\endgroup$– Cousin DupreeJul 3, 2014 at 3:57
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$\begingroup$ 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. $\endgroup$– MRicciJul 3, 2014 at 4:22
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$\begingroup$ 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 SleziakJul 3, 2014 at 5:41
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$\begingroup$ I imagine the class Jack Dawkins is talking about is this one. It's being offered again in September $\endgroup$– TylerJul 5, 2014 at 22:28
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$\begingroup$ Or one of the Ecole Normale Supérieure (ENS) $\endgroup$– Julien__Jul 10, 2014 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 :
- this website for games about Topology : http://geometrygames.org
[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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$\begingroup$ I would add Mike Starbird's topology video series. thegreatcourses.com/tgc/professors/… $\endgroup$ Jul 3, 2014 at 5:16