David Hilbert's Lectures on the Foundations of Geometry, 1891-1902 (English and German Edition)

ISBN: 9783540643739

出版社: Springer

出版年: 2004-07-12

页数: 651

定价: USD 99.00

装帧: Hardcover

内容简介

This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert’s celebrated Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study (the ‘axiomatic method’), which concentrates on assessing the logical weight of central propositions by exploiting to the full the method of independence proofs by modelling. This culminates in the lectures of 1898/1899 (the immediate precursor of the 1899 monograph) and 1902. The lectures contain many reflections and investigations which never found their way into print.