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:

• 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.
• *AQFT = Algebraic, or Axiomatic Quantum Field Theory