Geometry : Euclid and Beyond

Robin Hartshorne

544 pages, parution le 01/06/2000

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Résumé

This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants. Also included are complete proofs, introduction of coordinates, the theory of area, geometrical constructions and finite field extensions, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra. The text is intended for junior-senior level mathematics majors. This book offers a unique opportunitiy to understand the essence of one of the great thinkers of western civilization. A guided reading of Eulid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs, introduction of coordinates, the theory of area, geometrical condtructions and finite field extensions, history of the parallel postulate, the various non-Eclidean geometries, and the regular and semi-regular polyhedra. The text is intended for junior-senior level college mathematics majors.

Contents

Introduction

Euclid's Geometry.
Hilbert's Axioms.
Geometry over Fields.
Segment Arithmetic.
Area.
Construction Problems and Field Extensions.
Non-Euclidean Geometry.
Polyhedra.

Appendix

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer - Printemps des maths, Springer
Auteur(s)	Robin Hartshorne
Parution	01/06/2000
Nb. de pages	544
Format	18 x 24
Couverture	Relié
Poids	1327g
Intérieur	Noir et Blanc
EAN13	9780387986500
ISBN13	978-0-387-98650-0