Geometry Through History Euclidean, Hyperbolic, and Projective Geometries /

Presented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry. The narrative traces the influence of Euclid's system of geometry, as developed in his classic text The Elements, through the Arabic period, the modern era in the West, a...

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Hlavní autor: Dillon, Meighan I. (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Témata:
Convex geometry .
Discrete geometry.
Mathematics.
History.
Hyperbolic geometry.
Projective geometry.
ISBN:9783319741352
On-line přístup: Získat plný text
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Obsah:
  • Preface
  • 1. The Elements of Euclid
  • 2. Neutral Geometry
  • 3. The Hyperbolic Plane
  • 4. Hilbert's Grundlagen
  • 5. More Euclidean Geometry
  • 6. Models for the Hyperbolic Plane
  • 7. Affine Geometry
  • 8. An Introduction to Projective Geometry
  • 9. Algebraic Curves
  • 10. Rotations and Quaternions
  • Index.

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