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Hilbert's problems
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On the morning of the $8^{th}$ of August 1900 at the second International Congress of Mathematicians in Paris, David Hilbert gave a talk on `The Problems of Mathematics in the Future' (`Sur les problèmes futures des mathématiques').[GGI] He was invited to give a lecture and gave 10 problems (from the 23 known Hilbert's problems) they were (1,2,6,8,12,13,16,19,21,22).[GGI] The entire 23 problems where published after the conference in Archiv der Mathematik und Physik. Hermann Weyl, one of Hilbert's students, later on stated that any one who solved one of the 23 problems would be part of the honours class of mathematicians.[GJ]
The 23 problems:
See also:
- GGI
- IVOR GRATTAN-GUINNESS, A Sideways Look at Hilbert's Twenty-three Problems of 1900, Notices of the AMS, Vol 47, 7, 2000.
- GJ
- JEREMY GRAY, The Hilbert problems, European Mathematical Society, Newsletter 36, 10-12, 2000.
- BF
- FELIX E. BROWDER (ED.), Mathematical Problems Arising from Hilbert problems, Proceedings of Symposia in Pure Mathematics Vol. XXVII, Part I and Part II, American Mathematical Society, 1976.
- YB
- BENJAMIN H. YANDELL, The Honors Class: Hilbert's problems and their solvers, A K Peters, 2002.
Notes:
This entry is under construction please feel free to add information as it editable by anyone who is a member. Please reference what is added, thank you. The idea, is maybe:
- have a good introduction,
- have a small discription of each problem, and as attached entry have more details on each problem separately,
- have a good bibliography.
- *AQFT = Algebraic, or Axiomatic Quantum Field Theory
Also I think we should not CC wikipedia. This note can be removed once the entry is complete.
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"Hilbert's problems" is owned by Daume. [ full author list (7) ]
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Cross-references: Wikipedia, calculus of variations, relations, group, linear differential equations, boundary conditions, analytic, Lagrangian, sphere, Calculus, complete, proof, functions, equations, degree, extension, coefficients, solution, quadratic form, Matiyasevich's theorem, algebraic number field, Riemann hypothesis, theorem, manifolds, topological groups, geodesics, metrics, volume, polyhedron, axioms, arithmetic, David Hilbert, International Congress of Mathematicians
There are 6 references to this entry.
This is version 15 of Hilbert's problems, born on 2006-07-20, modified 2008-10-20.
Object id is 8156, canonical name is HilbertsProblems.
Accessed 2844 times total.
Classification:
| AMS MSC: | 01A60 (History and biography :: History of mathematics and mathematicians :: 20th century) | | | 01A67 (History and biography :: History of mathematics and mathematicians :: Future prospectives) |
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Pending Errata and Addenda
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