He developed mensuration methods and anticipated Fermat's theorem on stationary points.
Although they differed dramatically in both personal and mathematical outlooks, he and John von Neumann were the two key pioneers (after Turing) in computer science.
It is a key to the study of high-dimension spaces, differential geometry, and equation solving.
He may have been first to speak of time as a "fourth dimension." (Rivalry with the Swiss mathematicians led to d'Alembert's sometimes being unfairly ridiculed, although it does seem true that d'Alembert had very incorrect notions of probability.) D'Alembert was first to prove that every.Poincaré also found time to become a famous popular writer of philosophy, writing, "Mathematics is the art of giving the same name to different things and "A worthy mathematician experiences in his work the same impression as an artist; his pleasure is as great and.Most of the preceding work was done when Peano was quite young.Early in his career Shannon was fortunate to work with several other great geniuses including Weyl, Turing, Gödel and even Einstein; this may have stimulated him toward a broad range of interests and expertise.As were most of the greatest mathematicians, Poincaré was intensely interested in physics.He developed the theory of manifolds, a term which he invented.Von Goethe, Leonardo da Vinci was among the greatest geniuses ever; but none of these appears on Hart's List of the Most Influential Persons in History: genius doesn't imply influence.He was first to actually prove the important Cayley-Hamilton Theorem, and first to extend the Sylow Theorems to abstract groups.Any discrepancy may get cleared up with further development of the theory." Top Alfred Tarski (1902-1983) Poland,.S.A.His genius was confirmed at the age of nineteen when he proved that the regular n-gon was constructible if and only if it is the product of distinct prime Fermat numbers.Borel combined great creativity with strong analytic power; however he was especially interested in applications, philosophy, and education, so la lotoise cyclo sportive didn't pursue the tedium of rigorous development and proof; for this reason his great importance as a theorist is often underestimated.
He once wrote: "Every mathematician worthy of the name has experienced a lucid exaltation in which one thought succeeds another as if miraculously." Top Shiing-Shen Chern (1911-2004) China,.S.A.