Timeline for Self-taught undergrad math: ordering of topics?
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Apr 16, 2017 at 13:21 | comment | added | Max | How long did it take you? How can you guys learn so much with a day job :( Isn't that whole curriculum like twenty 400-500 page textbooks? This is overwhelming. I need advice. | |
| Feb 22, 2011 at 17:00 | comment | added | Javier Álvarez | @KConrad: you are right, I have edited the list to separate discrete math and number theory. About topology: that depends on your previous background. E.g. the Math B.Sc. at the universities of my country has an elementary topology course (point set topology, mostly of metric spaces) given at the same time that analysis in one variable, during the first semester. Even in my Physics degree we studied a chapter in elementary point set topology before diving in the rest of analysis; you just give the motivation and constructions focusing on R^n to later study differential and integral analysis. | |
| Feb 22, 2011 at 12:18 | history | edited | Javier Álvarez | CC BY-SA 2.5 |
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| Feb 22, 2011 at 2:41 | comment | added | KConrad | I would not put combinatorics and graph theory as a prerequisite for elementary number theory. And some kind of analysis course should precede topology, since the whole motivation for most concepts in topology comes from ideas in analysis on the real line (or R^n). | |
| Feb 22, 2011 at 1:03 | comment | added | Javier Álvarez | my pleasure...... I am myself a theoretical physicist that has learned pure mathematics by himself, so I have struggled a lot alone. Now I am focusing on algebraic geometry with a mathematician professor in order to apply to graduate school next year. So you would never imagine the amount of good math you can learn by yourself. | |
| Feb 22, 2011 at 0:54 | vote | accept | mathmoggy | ||
| Feb 22, 2011 at 0:54 | comment | added | mathmoggy | wow... that's awesome. I know it's an irritating question for mathematicians to answer because everything is of course interconnected. I appreciate the attempt to come up with some artificially linear paths that a beginner could follow. Thx! | |
| Feb 22, 2011 at 0:32 | history | answered | Javier Álvarez | CC BY-SA 2.5 |