The Hilbert ChallengeOxford University Press, 2000 - 315 pàgines David Hilbert was arguably the leading mathematician of his generation. He was among the few mathematicians who could reshape mathematics, and was able to because he brought together an impressive technical power and mastery of detail with a vision of where the subject was going and how it should get there. This was the unique combination which he brought to the setting of his famous 23 Problems. Few problems in mathematics have the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving individual ones such as Fermat's last theorem, and several remain unsolved including the Riemann hypotheses, which has eluded all the great minds of this century. A hundred years on, it is timely to take a fresh look at the problems, the man who set them, and the reasons for their lasting impact on the mathematics of the twentieth century. In this fascinating new book, Jeremy Gray and David Rowe consider what has made this the pre-eminent collection of problems in mathematics, what they tell us about what drives mathematicians, and the nature of reputation, influence and power in the world of modern mathematics. The book is written in a clear and lively manner and will appeal both to the general reader with an interest in mathematics and to mathematicians themselves. |
Frases i termes més freqüents
10th Problem Abelian Abelian extensions algebraic numbers analysis answer applied mathematics argument arithmetic asked axiom system axiomatic axiomatised Bourbaki branches of mathematics Brouwer calculus of variations called century coefficients complete conjecture continuum hypothesis curve defined degree Diophantine Dirichlet domain Euclidean geometry example existence Fermat's Last Fermat's Last Theorem Fields Medal finite number Gauss geodesics German given Gödel Göttingen Hilbert Problems ideas infinite integral interest invariant theory Julia Robinson Klein Königsberg Kronecker lecture Leipzig logic mathe mathematicians Mathematische Annalen maticians matics method Minkowski nature non-Euclidean non-Euclidean geometry number field number of variables number theory paper partial differential equation physicists physics plane Poincaré polynomial equation prime numbers proof proved pure mathematics quadratic question rational numbers real numbers result Riemann rigorous set theory showed solution solvable solved Soviet space square surface theorem tion topic topology triangle Ueber uniformisation unsolved Weyl wrote
Referències a aquest llibre
Essays on the Foundations of Mathematics and Logic, Volum 1 Giandomenico Sica Previsualització limitada - 2005 |