Geometry Through History Euclidean, Hyperbolic, and Projective Geometries /

• Main Author: Dillon, Meighan I. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Subjects: Convex geometry .; Discrete geometry.; Mathematics.; History.; Hyperbolic geometry.; Projective geometry.; Convex and Discrete Geometry.; History of Mathematical Sciences.; Hyperbolic Geometry.; Projective Geometry.

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...

Table of Contents:

• 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.