Timeline for Why should one still teach Riemann integration?
Current License: CC BY-SA 3.0
4 events
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| Feb 14, 2022 at 2:46 | comment | added | user56202 | @PeteL.Clark What do you mean by "the positive/negative part decomposition of a real number"? | |
| Dec 7, 2011 at 14:43 | history | edited | Stefan Waldmann | CC BY-SA 3.0 |
typos
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| May 1, 2011 at 21:33 | comment | added | Pete L. Clark | +1. Currently I am writing up some lecture notes on infinite series, and even at this level I cringe a little bit when I see proof exploiting the positive/negative part decomposition of a real number. One should use this only when it is actually necessary, which so far to me means results that are not valid for Banach space valued-things (good example: Riemann rearrangement). Admittedly it is hard to motivate why you are doing this in a course for undergraduates who have not (explicitly) seen a metric space, let alone a Banach space valued series or function. | |
| Jan 27, 2011 at 8:19 | history | answered | Stefan Waldmann | CC BY-SA 2.5 |