Word: theorems
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Dates: during 2000-2009
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Bott was widely known as an outstanding figure in geometry and topology, contributing to many theories that became fundamental concepts in the field. Among these theories was the Bott periodicity theorem of 1959, a discovery which has been compared by mathematicians to the sciences’ discovery of the periodic table of elements...
...Fermat's Last Theorem The puzzler that stumped the world's greatest mathematical minds for 350 years was finally solved by Princeton's Andrew Wiles -- or was it? Like French mathematician Pierre de Fermat, who claimed to have discovered a marvelous proof he couldn't fit in the margin of his notebook, Wiles has run into a last-minute problem but says he is sure he can resolve...
...Beranbaum even asserts that the new sugars can help simplify the art of baking because they add spectacular flavor without requiring complex skills. "For me," marvels Beranbaum, "finding these sugars is like being an astronomer who has discovered a new planet or a mathematician who has solved a new theorem." It's that sweet...
...packed Sanders Theatre of freshmen hanging on his every word, the former Chairman of the Council of Economic advisors strikes fear in the hearts of men. A lone sophomore among the ’09ers, each of them one rhetorical flourish away from disproving at least one major theorem, Mankiw’s axioms inspire me against my will. “Economics… will help you understand the world in which you live,” according to the class textbook, and “make you a more astute participant in the economy...
...discovered in 1975 and which is much too complicated to explain here. (Chaitin's book Meta Math! The Quest for Omega, out this month, should help make omega clear.) Suffice it to say that the concept broadens two major discoveries of 20th century math: Gdel's incompleteness theorem, which says there will always be unprovable statements in any system of math, and Turing's halting problem, which says it's impossible to predict in advance whether a particular computer calculation can ever be finished...