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Inhaltsangabe: In 1899, Hilbert proposed the Hilbert's axioms, substituting the traditional axioms of Euclid. They avoid weaknesses identified in those of Euclid, whose works at the time were still used textbook-fashion. Hilbert's approach signaled the shift to the modern axiomatic method. Axioms are not taken as self-evident truths. Geometry may treat things, about which we have powerful intuitions, but it is not necessary to assign any explicit meaning to the undefined concepts. The elements, such as point, line, plane, and others, could be substituted, as Hilbert is reported to have said, by tables, chairs, glasses of beer and other such objects. It is their defined relationships that are discussed. Hilbert first enumerates the undefined concepts: point, line, plane, lying on (a relation between points and lines, points and planes, and lines and planes), betweenness, congruence of pairs of points (line segments), and congruence of angles. The axioms unify both the plane geometry and solid geometry of Euclid in a single system. Hilbert put forth a most influential list of 23 unsolved problems at the International Congress of Mathematicians in Paris in 1900. This is generally reckoned the most successful and deeply considered compilation of open problems ever to be produced by an individual mathematician.
Buchbeschreibung Chelsea Publishing Company, 1952. Buchzustand: Fair. Ships from the UK. Former Library book. Shows definite wear, and perhaps considerable marking on inside. Buchnummer des Verkäufers GRP92594619
Buchbeschreibung Chelsea Publishing Company, 1983. hardcover. Buchzustand: Good. Cover very faintly rubbed, spine ends faintly bumped; top edge faintly soiled; label residue ffep, faint pencil erasures top ffep; binding tight; cover, edges and interior intact and very clean, except where noted. Buchnummer des Verkäufers 600792
Buchbeschreibung Chelsea Publishing House, 1952. Hardcover. Buchzustand: New. book. Buchnummer des Verkäufers 0828400873
Buchbeschreibung Chelsea Publishing House, 2009. Hardcover. Buchzustand: Good. 1St Edition. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. Buy with confidence, excellent customer service!. Buchnummer des Verkäufers 0828400873