希尔伯特的23个问题
问题解决进度
以下列出希尔伯特的23个问题:
参阅
大卫·希尔伯特
国际数学家大会
千禧年大奖难题( Millennium Prize Problems )
斯梅尔问题
文献
Gray, Jeremy J. The Hilbert Challenge. Oxford University Press. 2000. ISBN 0-19-850651-1.
Yandell, Benjamin H. The Honors Class. Hilbert"s Problems and Their Solvers. A K Peters. 2002. ISBN 1-56881-141-1.
Thiele, Rüdiger. On Hilbert and his twenty-four problems. (编) Van Brummelen, Glen. Mathematics and the historian’s craft. The Kenneth O. May Lectures. CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 21 . 2005: 243–295. ISBN 0-387-25284-3
Dawson, John W. Jr. Logical Dilemmas, The Life and Work of Kurt Gödel. AK Peters, Wellesley, Mass. 1997: A wealth of information relevant to Hilbert"s "program" and Gödel"s impact on the Second Question, the impact of Arend Heyting"s and Brouwer"s Intuitionism on Hilbert"s philosophy.
Felix E. Browder (editor), Mathematical Developments Arising from Hilbert Problems , Proceedings of Symposia in Pure Mathematics XXVIII (1976), American Mathematical Society. A collection of survey essays by experts devoted to each of the 23 problems emphasizing current developments.
Matiyasevich, Yuri. Hilbert"s Tenth Problem. MIT Press, Cambridge, Massachusetts. 1993: An account at the undergraduate level by the mathematician who completed the solution of the problem. ISBN 0262132958.
Nagel, Ernest; Newman, James R. Douglas Hofstadter, 编. Gödel"s Proof: Edited and with a New Foreword by Douglas R. Hofstadter. New York University Press, NY. 2001. ISBN 0-8147-5816-9.
Reid, Constance. Hilbert. Springer-Verlag, New York. 1996. ISBN 978-0387946740.
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