HILBERT, 2 WORKS

i. Die theorie der algebraischen Zahlkörper [offprint from:] Jahresbericht der Deutschen Mathematiker-Vereinigung. Berlin, G. Reimer, 1897, title page, 14pp. preliminaries (foreword and contents), pp.177-546, contemporary half morocco, (bought from Bernard Quaritch, London, 1987), [T&W H131], minor spotting, binding slightly wornii. [with W. Ackermann, (1896-1962)]. Principles of Mathematical Logic. New York: Chelsea Publishing Company, 1950, original cloth, [T&W H132]8vo (2)

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David Hilbert was one of the greatest mathematicians of the late nineteenth and early twentieth centuries. Working across a number of fields he will always be remembered for the 23 unsolved problems that he presented to the International Congress of Mathematicians in 1900. In enumerating these key mathematical puzzles Hilbert guided mathematical research for much of the rest of the twentieth century. The first item is Hilbert's classic book on algebraic number theory, which was the standard text for many years, and which laid the groundwork for class field theory. William Ackermann was one of Hilbert's student who went on to become a highly respected mathematician in his own right. He is best remembered for the Ackermann's function, a multiply recursive function often used to illustrate the technique in courses dealing with programming of computers to scientific applications. The second work here, based on Hilbert's lecture notes for his course in the foundations of mathematics, was translated from the second German edition of 1937. Hugely popular, it was reissued over many decades.