http://netvouz.com/narky/tag/theorem?feed=rss narky's bookmarks tagged "theorem" on Netvouz http://www.simonsingh.net/Fermats_Last-Theorem_The_Book.html Over three hundred and fifty years were to pass before a mild-mannered Englishman finally cracked the mystery in 1995. Fermat by then was far more than a theorem. Whole lives had been devoted to the quest for a solution. There was Sophie Germain, who had to take on the identity of a man to conduct research in a field forbidden to females. The dashing Evariste Galois scribbled down the results of his research deep into the night before sauntering out to die in a duel. The Japanese genius Yutaka Taniyama killed himself in despair, while the German industrialist Paul Wolfskehl claimed Fermat had saved him from suicide. Educational > Mathematics > Textbooks/Books narky Fri, 25 May 2007 05:25:05 GMT http://en.wikipedia.org/wiki/Andrew_wiles Sir Andrew John Wiles (born April 11, 1953) is a British-American mathematician, the Eugene Higgins Professor of Mathematics at Princeton University, Princeton mathematics department chair, and member of scientific advisory board of the Clay Mathematics Institute. One of the major highlights of his career has been an announcement of a proof of Fermat's Last Theorem in 1993 and a discovery of a beautiful method to complete that proof in 1994. Educational > Mathematics > People narky Thu, 01 Jun 2006 06:52:56 GMT http://en.wikipedia.org/wiki/Fixed_point_property In mathematics, a topological space X has the fixed point property if all continuous mappings from X to X have a fixed point. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:50:22 GMT http://at.yorku.ca/cgi-bin/bbqa?forum=ask_a_topologist_2001;task=show_msg;msg=0302 Does a space which has the finite closed topology have the fixed-point property? I really don't know how to go about this, but my initial thoughts are: - This should be related to continuous functions and connectedness. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:24:24 GMT http://en.wikipedia.org/wiki/Fixed-point_theorem In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under some conditions on F that can be stated in general terms. Results of this kind are amongst the most generally useful in mathematics. The Banach fixed point theorem gives a general criterion guaranteeing that, if it is satisfied, the procedure of iterating a function yields a fixed point. By contrast, the Brouwer fixed point theorem is a non-constructive result: it says that any continuous function from the closed unit ball in n-dimensional Euclidean space to itself must have a fixed point, but it doesn't describe how to find the fixed point (See also Sperner's lemma). Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:51:32 GMT