Geometry : Euclid and beyond / Robin Hartshorne

Auteur principal : Hartshorne, Robert Cope, 1938-, AuteurType de document : MonographieCollection : Undergraduate texts in mathematicsLangue : anglais.Pays: Etats Unis.Éditeur : New York : Springer, 2000Description : 1 vol. (XI- 526 p., [2] p. de pl.) : fig., ill. coul., appendix ; 24 cmISBN: 9780387986500.ISSN: 0172-6056.Bibliographie : Bibliogr. p. 495-501. Index.Sujet MSC : 51-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometryEn-ligne : Springerlink Item type: Monographie
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The textbook is divided into the following eight major Chapters. Euclid's geometry, Hilbert's axioms, Geometry over fields, Segment arithmetic, Area, Construction problems and field extensions, Non-Euclidean geometry, Polyhedra. Also included are complete proofs and the exercises at the end of each of 47 sections. The Appendices offer: Statements of the most frequently quoted results from Euclid's Elements, Notes to every section, List of axioms, References to further study, Index of Euclid's propositions and complete Index of notions. These Appendices together with 550 Figures and twenty plates, 4 in color easily “navigate” through the whole text which is a useful source of material for those who teach geometry.

Bibliogr. p. 495-501. Index

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