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Students of different disciplines or sub-disciplines are often taught about the "Weierstrass theorem," which may refer to the extreme value theorem, Stone-Weierstrass, Bolzano-Weierstrass, or who knows what. Currently Weierstrass theorem redirects to Stone-Weierstrass theorem. I think we should have it redirect to a disambiguation page of sorts, perhaps a page called, "Mathematical objects bearing the name of Karl Weierstrass," which would include a list of theorems, as well as a short description of the theorem so students can figure out which one is relevant. Does this sound like a good idea? Smmurphy(Talk) 21:21, 18 July 2007 (UTC)
- Or maybe Weierstrass theorem itself could just be the disambig page. --CompuChip 14:49, 19 July 2007 (UTC)
- I just noticed that in the case of Euler, List of topics named after Leonhard Euler is used. How about that for Weierstrass, too? Smmurphy(Talk) 03:06, 25 July 2007 (UTC)
Continuous, non-diff fns
I believe the essence of Weierstrass function belongs in this article, where it states that his creation disabused mathematicians (as eminent as Gauss) of a long held mistaken assumption that the class of continuous functions was Lipschitian/Lesbegian in nature. "Introduced the formalism still taught today" underwhelms me. So what? His notation was especially pedagogical? Or did he contribute something profound? There is far more insight to be had from noting that the limit theorem has an innovative challenge/response structure, which is why (or so I have long believed) that this rather simple formalism long escaped other extremely brilliant practioners. MaxEnt 03:31, 5 September 2007 (UTC)
epsilon, delta gibberish
Surely more can be written about such an important mathematician. His biography is brief, there's almost no discussion of the last half of his life, there's no personal life section, and his contributions to mathematics are mostly links to topics named after him. I'm no expert on Weierstrass, but I'd like to encourage someone with more expertise to expand the article. 184.108.40.206 (talk) 10:40, 30 August 2011 (UTC)
Error in "soundness of calculus" section
Seems a silly typo/mistake, but I'm not sure what the correct replacing term should be.
Near the end of the section, it says: "The epsilon-delta definition of limit ... " and what follows is the definition of continuity.
I'm actually not sure which part is incorrect --- whether K.W. indeed proposed the *limit* definition, and the error is that the definition appearing is that of continuity, or whether the error is that it says the definition of limit when it should say definition of continuity.
Please, someone that knows fix it!
child with Kovalevskaya
The comment(s) below were originally left at several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section., and are posted here for posterity. Following
|Weierstrass has made much more contributions than just a few
definitions and proofs of known statements.
The whole idea of Modern analysis was built by him. More, he gave so many contradictory examples to things which people thought were true. He coined uniform convergence. He has famous inequalities and theorems in his name. There is an example of function which is continuous everywhere differentiable nowhere, given by him. He was truly revolutionary mathematician, the page heavily underestimates him.atul 15:38, 2 April 2007 (UTC)
Last edited at 15:38, 2 April 2007 (UTC). Substituted at 20:55, 29 April 2016 (UTC)