Word: theorems
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...Atiyah is a British mathematician who made field-changing discoveries in string theory and superspace beginning over four decades ago. After winning the Fields Medal in 1966 for his work on topological K-Theory, Atiyah continued to revolutionize mathematical subfields, including geometry and theoretical physics. The Atiyah-Singer Index Theorem, which he developed with MIT’s Isadore M. Singer, earned the duo the 2004 Abel Prize, given by the Norwegian Academy of Science and Letters...
...would I believe it?” exclaimed a friend of mine.Such a skeptical attitude is understandable, as it is nurtured in academia. After all, students of science conduct experiments and rely on the results in order to prove their findings; mathematicians use deductive logic to prove their theorems; humanities majors strive to include supporting evidence in their essays . Since our minds are trained from a young age to require evidence, proof, and arguments before accepting a concept, theorem, or idea as legitimate, it is natural and expected that we employ this method when addressing matters of religion. While...
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...
...also had long-standing and successful collaborations with other eminent mathematicians, producing, among others, the Atiyah-Bott fixed-point theorem concerning fixed points on mathematical maps, and the Borel-Weil-Bott theorem, which had a large influence on representation theory...
...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...