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An Axiomatic Approach to Geometry Geometric Trilogy I /

Focusing methodologically on those historical aspects that are relevant to supporting intuition in axiomatic approaches to geometry, the book develops systematic and modern approaches to the three core aspects of axiomatic geometry: Euclidean, non-Euclidean and projective. Historically, axiomatic ge...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Borceux, Francis (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Preface
  • 1.The Prehellenic Antiquity
  • 2.Some Pioneers of Greek Geometry
  • 3.Euclid's Elements
  • 4.Some Masters of Greek Geometry
  • 5.Post-Hellenic Euclidean Geometry
  • 6.Projective Geometry
  • 7.Non-Euclidean Geometry
  • 8.Hilbert's Axiomatics of the Plane
  • Appendices: A. Constructibily
  • B. The Three Classical Problems
  • C. Regular Polygons
  • Index
  • Bibliography.