**Hilbert, David. **"Problemes Mathematiques.*"* Paris: Librairie armand Colin, 1901. 1st edition. In: * Revue generale des Sciences pures et applique*s, 28 Fevrier 1901, 12^{e} annee, No. 4.

This is a revised printing of the 2nd printing of Hilbert's great problems speech (taken from *The Archives of Mathematics)*, in which the he famously posed his 23 ("The Problems of Mathematics" was delivered to the Second International Congress of Mathematicians in Paris) problems which would challenge mathematicians to solve fundamental problems in the maths for years to come. It was a speech full of optimism for mathematics in the coming century and he felt that open problems were the sign of vitality in the subject: "The great importance of definite problems for the progress of mathematical science in general ... is undeniable. ... [for] as long as a branch of knowledge supplies a surplus of such problems, it maintains its vitality. ... every mathematician certainly shares ..the conviction that every mathematical problem is necessarily capable of strict resolution ... we hear within ourselves the constant cry: There is the problem, seek the solution. You can find it through pure thought... Hilbert's problems included the continuum hypothesis, the well ordering of the reals, Goldbach's conjecture, the transcendence of powers of algebraic numbers, the Riemann hypothesis, the extension of Dirichlet's principle and many more. Many of the problems were solved during this century, and each time one of the problems was solved it was a major event for mathematics".

Early Printing of Hilbert's Problems:

Hilbert, Mathematische Probleme, lecture held at the Paris ICM 1900, *Nachrichten von der Koniglichen Gesellschaft der Wissenschaften zu Gottingen *(1900) 253-297; revised version in *Archiv der Mathematik und Physik *1 (1901) 44-63, 213-237, and [58:3, pp. 290-329]

English translation (by M. W. Newson) in Bull. Amer. Math. Soc. 8 (1901) 437-479; reprinted in the Bulletin 37 (2000) 407-436; also in Browder [8:1, pp. 1-34], Yandell [115, pp. 324-389], and Gray [31, pp. 240-282], selected parts in Ewald [17:2, pp. 1096-1105] and Reid [87, chap. 9].

French translations by L. Laugel (with corrections and additions) in* Compte rendu du deuxieme congres international des mathematiciens tenu `a Paris du 6 au 12 aout 1900*, E. Duporcq, ed., Gauthier-Villars, Paris, 1902, pp. 58-114; (fragments).*L'Enseignement Mathematique *2 (1900) 349-354 and* Revue Generale des Sciences Pures et Appliqees* 12 (1901) 168-174.

This copy is very problematic--it comes from a tall stack of issues fro the *Revue* that I bought of the Library of Congress years ago--they were all cleanly sliced from their binding in an effort to digitize them. That said, all pages are loose, but uniform. I just couldn't not purchase these 30 years or so of the *Revue*, I couldn't let them go because they were in a difficult state. Hence the price: $150