The Foundations of Geometry. Authorized Translation by E. J. Townsend.

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vii, 132 pp; 52 figs.; ads. Original cloth. Very Good. First Edition in English of Grundlagen der Geometrie. 'In 1899 . [Hilbert] had published a small but celebrated volume entitled Grundlagen der Geometrie ('Foundations of Geometry'). This work, translated into the major languages, exerted a strong influence on the mathematics of the twentieth century. Through the arithmetization of analysis and the axioms of Peano, most of mathematics, except for geometry, had achieved a strict axiomatic foundation. Geometry in the nineteenth century had flourished as never before, but it was chiefly in Hilbert's Grundlagen that an effort was first made to give it the purely formal character found in algebra and analysis' (Boyer, History of Mathematics, pp. 657-8, summarizes Hilbert's axiomatization). D.S.B. VI: 390-1. N° de ref. del artículo 24511

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