On the morning of the of August 1900 at the second International Congress of Mathematicians in Paris, David Hilbert gave a talk on `The Problems of Mathematics' (`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 a student of Hilbert's 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:

• David Hilbert, Mathematische Probleme
• David Hilbert, Mathematical Problems
• Wikipedia, Hilbert's problems

References

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.