Timeline for Historical basis and mathematical significance of Riemann surfaces [closed]
Current License: CC BY-SA 3.0
22 events
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
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| Jan 29, 2016 at 0:50 | review | Reopen votes | |||
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| Sep 16, 2011 at 6:39 | comment | added | Sadiq Ahmed | @Paul: "... there is a well-known narrative which explains the passage from single variable calculus over C to the theory of Riemann surfaces. It is often described in basic complex analysis / algebraic geometry courses." -- Some references? - Regards | |
| Sep 15, 2011 at 20:12 | comment | added | Thierry Zell | @Sadiq: your question received much more detailed answers on SE than on MO, and the answers arrived earlier. If this is not conclusive proof that your question was more at home on SE, I don't know what is. | |
| Sep 15, 2011 at 19:16 | history | edited | Yemon Choi |
removed math-ed tag
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| Sep 15, 2011 at 18:46 | comment | added | user9072 | Meta tea.mathoverflow.net/discussion/1137/… And in brief: Todd, yes the crosspost is which is seriously dislike; for context please see meta (in a couple minutes). | |
| Sep 15, 2011 at 18:41 | history | closed |
user9072 Pete L. Clark Qiaochu Yuan Andy Putman Felipe Voloch |
off topic | |
| Sep 15, 2011 at 18:41 | comment | added | Todd Trimble | (What I should have said is that the question taken in isolation is not all that objectionable -- although it obviously be a lot better. However, I fully agree that cross-posting is objectionable.) | |
| Sep 15, 2011 at 18:25 | comment | added | Todd Trimble | Andy, I'm not so sure that the historical development would be so 'clear' to just anybody who had had exposure to Riemann surfaces, complex analysis, and so on. It's not super-clear to me, at any rate -- but my guess is that the advent of Riemann surfaces was, for Riemann, firmly grounded in things like elliptic function theory and abelian integrals. As I say, this is a guess. I'll bet someone at MO would be able to offer something more authoritative, and there could be someone here who has made a serious study of the history. I honestly don't find the question all that objectionable. | |
| Sep 15, 2011 at 18:05 | comment | added | Sadiq Ahmed | @Andy: @quid: Ok. Thanks for the responses. - Sadiq @Paul: ok. This is very useful. Thank you. - Sadiq | |
| Sep 15, 2011 at 17:45 | comment | added | Paul Siegel | Second, there is a well-known narrative which explains the passage from single variable calculus over $\mathbb{C}$ to the theory of Riemann surfaces. It is often described in basic complex analysis / algebraic geometry courses. So while your question is consistent with the history-overview tag, it isn't really "research level" as is. A good question of this sort would identify a substantive mathematical issue which is implicit in the narrative; see mathoverflow.net/questions/41253/… for an example. | |
| Sep 15, 2011 at 17:35 | comment | added | user9072 | First and foremost and again, do not crosspost! If you prefer to ask here, do/try so. The mathematics-education tag is for questions on mathematics education; check what is tagged with this. Precisely from math for math asking how to educate/teach something/body. However, the faqs tell pretty preciselly what the site is about: "MathOverflow's primary goal is for users to ask and answer research level math questions..." Also you seem to know from your first question that MO is for graduate level and higher and support such an idea. I could go on, but lets leave it at that. | |
| Sep 15, 2011 at 17:32 | comment | added | Paul Siegel | I'm not going to express an opinion about whether or not the question should be closed, but I want to give my interpretation of why others object. First, the mathematics-education tag is not appropriate for your question; it is meant for questions about mathematical pedagogy. (Actually, most questions with this tag would not be considered research level within the math education community, but I don't think there are enough experts in the field who frequent this site for the tag to be enforced.) Your question is about Riemann surfaces, not about education. | |
| Sep 15, 2011 at 17:29 | comment | added | Andy Putman | @Sadiq : mathematics-education is used for questions about teaching, not learning. I think the FAQ makes it clear that MO is intended for professional mathematicians. Also, the MO users who are interested in answering questions from undergraduates already read math.SE.. Finally, while it is true that questions about mathematical history are welcome here, your question is not really a serious math-history question. If you already knew about Riemann surfaces and complex analysis, the answer would be pretty clear. | |
| Sep 15, 2011 at 16:44 | answer | added | Margaret Friedland | timeline score: 6 | |
| Sep 15, 2011 at 16:27 | comment | added | James O | @Ahmed, thank you for letting me know about Donaldson´s book. | |
| Sep 15, 2011 at 16:01 | comment | added | user9072 | Vote to close. And -1, for again crossposting; three hours is a ridiculously short time to wait. | |
| Sep 15, 2011 at 13:56 | comment | added | Thierry Zell | Not research-level, so wrong site to ask your questions. Why would you think that an expert in Riemann surfaces today would necessarily be the right person to ask about historical development of the subject? | |
| Sep 15, 2011 at 13:23 | comment | added | KConrad | If you consider traditional calculus to mean calculus in one variable, then that leads to complex analysis in one variable. At first it was done on C, but for more flexibility (particularly in relation to speaking about analytic continuation without awkward branch cuts) Riemann introduced the idea of doing complex analysis on a one-dimensional complex manifold, and those are essentially the same thing as Riemann surfaces. | |
| Sep 15, 2011 at 13:18 | comment | added | Igor Rivin | Why do you ask? | |
| Sep 15, 2011 at 12:30 | answer | added | BSteinhurst | timeline score: 6 | |
| Sep 15, 2011 at 11:45 | history | asked | Sadiq Ahmed | CC BY-SA 3.0 |