Beschreibung:

HILBERT, David (1862-1943). Mathematische Probleme . Offprint from Nachrichten der Königliche Gesellschaft zu Wissenschaften zu Göttingen, Mathematische-physikalischen Klasse chrichten der Königliche Gesellschaft zu Wissenschaften zu Göttingen, Mathematische-physikalischen Klasse (1900). N.p, n.d. 4 o. Modern quarter black morocco, marbled boards. FIRST SEPARATE EDITION. Hilbert contributed to many branches of mathematics, including invariants, algebraic number fields, functional analysis, integral equations, mathematical physics, and the calculus of variations. In 1900, to celebrate the new century, Hilbert presented a paper at the second International Congress of Mathematicians in Paris in which he set forth a list of twenty-three problems that he predicted would be of central importance to the advance of mathematics in the twentieth century. "The first half-dozen problems pertained to the foundations of mathematics and had been suggested by what he considered the great achievements of the century just past: the discovery of the non-euclidean geometry and the clarification of the concept of the arithmetic continuum, or real number system. These problems showed strongly the influence of [Hilbert's] recent work on the foundations of geometry and his enthusiasm for the power of the axiomatic method. The other problems were special and individual, some old and well known, some new, all chosen, however, from fields of Hilbert's own past, present and future interest" (Reid, Hilbert, 1970, 70). In the second of these problems, Hilbert called for a mathematical proof of the consistency of the arithmetic axioms -- a question that, in a later incarnation, turned out to have great bearing on the development of both mathematical logic and computer science when the problem was addressed by Gödel and Turing. OOC 320.