Timeline for Place of Analytic geometry in modern undergraduate curriculum
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 30, 2011 at 9:04 | comment | added | KConrad | Dmitry, learn analysis and algebra first if you want, but don't ignore geometry in the modern sense (manifolds, algebraic varieties). For one thing, that is where analysis and algebra can really be put to work in interesting ways (e.g., complex analysis on Riemann surfaces). Someone I know who was a student at Harvard regretted later on in graduate school having gone through Harvard's undergraduate program without having to study manifolds in a serious way. | |
| Mar 29, 2011 at 7:53 | comment | added | Bananeen | Logan Maingi: thanks for clarification. Then I won't bother too much about geometry and will concentrate on analysis and algebra as most undergraduates do, thanks! KConrad: thanks for kind help! Yeah, I didn't want to post it as an answer but I messed up with authorization the first time, and accidentally got the second account. As for the IUM, I didn't study at a math school, so this september I felt I didn't have the nessesary preparation. By the way, this is one of the reasons I prefer us textbooks to russian ones - they are not so aggressive and terse for an unprepared student | |
| Mar 28, 2011 at 16:37 | comment | added | KConrad | Tom, IUM is not officially authorized to grant degrees, so the local students go there in their free time while enrolled somewhere else as their main institution. To make this possible, the classes at IUM for local students are at night. At mccme.ru/ium/FAQ.html is more information (если Вы читаете по-русски). | |
| Mar 28, 2011 at 16:17 | comment | added | KConrad | Dmitry: you're new here, so I'll point out that it is not standard to write comments to your own question as an answer. If you can edit your question, then it's better to add your comments to your question, perhaps at the end of it with "Edit:" placed in front. | |
| Mar 28, 2011 at 16:13 | comment | added | Tom Church | I spent a semester studying at NMU and would recommend it highly. The faculty I dealt with were uniformly excellent. (As an American I have no idea how it would interact bureaucratically with your degree at MGU, but the mathematics was fantastic.) | |
| Mar 28, 2011 at 12:08 | comment | added | Logan M | From my limited experience, these types of geometry courses are not generally taught for math majors. Typically, they are more directed towards math education majors or engineers who are trying to get a math minor. Non-euclidean geometries are certainly mentioned occasionally, but are not always explored with any depth. The reason for this is that geometry isn't totally necessary anymore. It would be difficult to do anything serious without, say, knowing what a group is, but geometry has become a niche topic. Graduate students typically learn some advanced geometry, but undergrads rarely do. | |
| Mar 28, 2011 at 11:34 | history | edited | Bananeen | CC BY-SA 2.5 |
added 28 characters in body
|
| Mar 28, 2011 at 11:28 | history | edited | Bananeen | CC BY-SA 2.5 |
edited body
|
| Mar 28, 2011 at 11:22 | history | answered | Bananeen | CC BY-SA 2.5 |