Geometry: Euclid and Beyond

Par : Robin Hartshorne
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  • Nombre de pages536
  • PrésentationBroché
  • FormatGrand Format
  • Poids1.008 kg
  • Dimensions17,8 cm × 25,4 cm × 3,0 cm
  • ISBN978-1-4419-3145-0
  • EAN9781441931450
  • Date de parution15/12/2010
  • CollectionUndergraduate Texts in Mathema
  • ÉditeurSpringer

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, with complete proofs. Topics include the 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 semiregular polyhedra.
The text is intended for junior- to senior-level mathematics majors.
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, with complete proofs. Topics include the 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 semiregular polyhedra.
The text is intended for junior- to senior-level mathematics majors.