Collineations and Conic Sections, 1st ed. 2020 An Introduction to Projective Geometry in its History
Langue : Anglais
Auteur : Baltus Christopher
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.
Preface.- 1. Introduction.- 2. Central Collineations.- 3. The Geometry of Euclid's Elements.- 4. Conics in Greek Geometry.- 5. Conic Sections in Early Modern Europe.- 6. Conic Sections in Early Modern Europe.- 7. Central Collineations.- 8. Nineteenth Century.- 9. Foci.- 10. Steiner. 11. Desargues and Involution.- 12. Looking Ahead.- 13. Matrices and Homogeneous Coordinates.- 14. Some Applications of Conics in History.- 15. Vertical Stretch and Isaac Newton's Conics.- 16. Three Appendices.- Bibliography.
Gives the necessary geometry to readers of limited background
Provides reader with a general history through the mid-nineteenth century
Features a proof-based treatment
Date de parution : 09-2021
Ouvrage de 187 p.
15.5x23.5 cm
Date de parution : 09-2020
Ouvrage de 187 p.
15.5x23.5 cm
Thème de Collineations and Conic Sections :
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