Christopher Baltus
Springer International Publishing
e druk, 2020
9783030462864
Collineations and Conic Sections
An Introduction to Projective Geometry in its History
Specificaties
Gebonden, blz.
|
Engels
Springer International Publishing |
e druk, 2020
ISBN13: 9783030462864
Rubricering
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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 CollineationsThe Geometry of Euclid's ElementsConic Sections in Early Modern EuropeApplications of Conics in HistoryWith 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.
Specificaties
ISBN13:9783030462864
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing
Inhoudsopgave
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.