Collineations and Conic Sections An Introduction to Projective Geometry in its History

Collineations and Conic Sections An Introduction to Projective Geometry in its History | 9.74 MB

Title: Collineations and Conic Sections
Author: Christopher Baltus
Category: Nonfiction, Science & Nature, Mathematics, Geometry, History
Language: English | 252 Pages | ISBN: 3030462897

Description:
This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. Topics covered include but are not limited to:

• The Projective Plane and Central Collineations
  
• The Geometry of Euclid's Elements
  
• Conic Sections in Early Modern Europe
  
• Applications of Conics in History
  

With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry.

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