Timeline for Background reading for proving irrationality of real numbers
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 21, 2021 at 5:55 | comment | added | YCor | The first link is broken. | |
| Jul 21, 2021 at 5:55 | history | edited | YCor | CC BY-SA 4.0 |
added tags, formatting
|
| Jul 21, 2021 at 5:04 | history | edited | José Hdz. Stgo. | CC BY-SA 4.0 |
added 2 characters in body
|
| Oct 27, 2012 at 11:37 | comment | added | Yemon Choi | +100 @Todd Trimble | |
| Oct 26, 2012 at 15:26 | answer | added | Todd Trimble | timeline score: 3 | |
| Oct 26, 2012 at 12:48 | answer | added | BSteinhurst | timeline score: 1 | |
| Oct 26, 2012 at 9:34 | answer | added | Andreas Holmstrom | timeline score: 0 | |
| Oct 25, 2012 at 20:23 | answer | added | Alexandre Eremenko | timeline score: 2 | |
| Oct 25, 2012 at 13:20 | comment | added | Todd Trimble | I'd have to second Robert Israel's advice about finding a mentor; there is much about this post that sounds like a youthful dream or Jugendtraum (an impression strengthened by phrases like "I know this proof by heart"). The actual problems mentioned are apparently really, really hard, and changing a career trajectory without having a real inside edge on such problems sounds somewhat risky to me. I am reminded of a phrase in English warning about "putting all of one's eggs in one basket". | |
| Oct 25, 2012 at 12:57 | answer | added | user9072 | timeline score: 2 | |
| Oct 25, 2012 at 7:00 | comment | added | Robert Israel | I think you should definitely look at Baker's book, "Transcendental Number Theory" books.google.ca/books?id=SmsCqiQMvvgC Beyond that, I suspect you really ought to get a mentor who is a specialist in this area and knows where some doable problems might be found. mathoverflow.net is probably not a feasible substitute for such a mentor. | |
| Oct 25, 2012 at 4:31 | comment | added | Benjamin Dickman | One article I really like is: A Geometric Proof that e Is Irrational and a New Measure of Its Irrationality. Jonathan Sondow. The American Mathematical Monthly, Vol. 113, No. 7 (Aug. - Sep., 2006), pp. 637-641. jstor.org/stable/27642006. I don't see an easy way of generalizing this geometric method for fundamentally different irrational real numbers, but the paper is a fun read (and you mentioned Sondow in your question). A piece of unsolicited advice, though: those "attractive open problems" are open for a reason; don't get stuck on something intractable. | |
| Oct 25, 2012 at 3:29 | history | asked | Pedro Madrid | CC BY-SA 3.0 |