Timeline for The role of the mean value theorem (MVT) in first-year calculus
Current License: CC BY-SA 3.0
11 events
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| Feb 27, 2012 at 22:56 | history | edited | David White | CC BY-SA 3.0 |
Fixed a number of typos, since the question was on the front-page anyway
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| Jul 12, 2010 at 8:42 | comment | added | O.R. | You call it any way you want/any way you has been taught. The name seems to be used specially when a geometric treatment of the reals is done. And besides, look at what you are saying. "One should speak of continuity of functions, not of spaces." There is not semantic mistake whatsoever in calling that continuity (Continuum: anything that goes through a gradual transition from one condition, to a different condition, without any abrupt changes). So, what is the "should"? So much fuss for a name. What is important is the content. | |
| Jul 12, 2010 at 4:53 | history | made wiki | Post Made Community Wiki by S. Carnahan♦ | ||
| Jul 12, 2010 at 3:53 | comment | added | Pete L. Clark | (But I don't myself like the name. One should speak of continuity of functions, not of spaces.) | |
| Jul 11, 2010 at 21:31 | comment | added | Pete L. Clark | Note: I myself had not heard the term "continuity axiom" before Franklin's response, but an internet search confirms that some do indeed call the least upper bound axiom / monotone sequence lemma / what have you by that name. For a local example, see: math.uga.edu/~szwang/teaching/4100-real-numbers.pdf | |
| Jul 11, 2010 at 19:58 | comment | added | O.R. | Only that you can replace the continuity axiom of the reals by MVT and get the same theory. | |
| Jul 11, 2010 at 19:11 | comment | added | Robin Chapman | So "MVT is equivalent to the continuity of the reals". What's that mean? | |
| Jul 11, 2010 at 18:46 | history | edited | O.R. | CC BY-SA 2.5 |
added 2570 characters in body; added 2 characters in body
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| Jul 11, 2010 at 18:20 | comment | added | Yemon Choi | (aside: I never used to make this mistake with it's and its until I started doing a PhD...) | |
| Jul 11, 2010 at 18:14 | comment | added | Yemon Choi | This answer seems to be defending the role of the MVT in the subject; but the original question is asking about it's role in teaching of the subject, which is a different emphasis. | |
| Jul 11, 2010 at 17:47 | history | answered | O.R. | CC BY-SA 2.5 |