David Hilbert's Lectures on the Foundations of Geometry

1891-1902

Michael Hallett, Ulrich Majer

662 pages, parution le 03/06/2004

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Résumé

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.

Written for:
Historians of logic, mathematics, geometry, and physics; researchers and students in those fields

Sommaire

Introduction
Lectures on projective geometry (1891)
Lectures on the foundations of geometry(1894)
Holiday courses, 1896 and 1898
Lectures on Euclidean geometry (1898-99)
The foundations of geometry: The Festschrift of 1899
Lectures on the foundations of geometry (1902)

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Michael Hallett, Ulrich Majer
Parution	03/06/2004
Nb. de pages	662
Format	16 x 24
Couverture	Relié
Poids	1155g
Intérieur	Noir et Blanc
EAN13	9783540673736