Timeline for What kind of computer tools topologists/geometers use to visualize the objects they deal with?
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Jul 11 at 13:38 | answer | added | Gavin Wraith | timeline score: 1 | |
| Jul 11 at 13:05 | history | edited | Sam Hopkins | CC BY-SA 4.0 |
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| Oct 5, 2018 at 16:30 | vote | accept | stressed out | ||
| Aug 9, 2018 at 11:22 | answer | added | user1073 | timeline score: 9 | |
| Aug 9, 2018 at 2:26 | comment | added | Timothy Chow | You might want to look at "Three-Dimensional Geometry and Topology" by Thurston and "The Shape of Space" by Weeks. I think that these books are not ideal for developing a systematic understanding of the subject, but they can be useful for developing some intuition. | |
| Aug 8, 2018 at 20:07 | comment | added | Liviu Nicolaescu | At some point, especially in higher dimensions, visualization can be misleading, In low dimensions (2, 3) it can help. Its best that you get a rudimentary intuition by working out a couple of examples and use that to guide you in more general situation. | |
| Aug 8, 2018 at 18:10 | comment | added | Nate Eldredge | What is apparent to me is that the further I go, the less I understand what is going on. ObVonNeumann: "Young [one], in mathematics you don't understand things. You just get used to them." And while visualizations are useful, you might find that mathematicians are less reliant on them than you might guess. Another not-really-joke that's relevant here: Student: How do you visualize 6-dimensional space? Teacher: Oh, it's easy, you just visualize $n$-dimensional space and then set $n=6$. | |
| Aug 8, 2018 at 17:49 | comment | added | JJJ | There are some pretty interesting tools for 3-manifolds. Like regina-normal.github.io | |
| Aug 8, 2018 at 17:44 | answer | added | Carlo Beenakker | timeline score: 14 | |
| Aug 8, 2018 at 16:47 | comment | added | stressed out | @PraphullaKoushik Yeah. Freudian slip. I'm still recovering from a recent truly bad encounter with algebraic geometry. | |
| Aug 8, 2018 at 16:47 | history | edited | stressed out | CC BY-SA 4.0 |
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| Aug 8, 2018 at 16:39 | comment | added | Praphulla Koushik | you mean Hatcher's Algebraic topology | |
| Aug 8, 2018 at 16:10 | review | First posts | |||
| Aug 8, 2018 at 16:24 | |||||
| Aug 8, 2018 at 16:05 | history | asked | stressed out | CC BY-SA 4.0 |