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

Baltus, Christopher

ISBN 10: 3030462862 / ISBN 13: 9783030462864

Editore: Springer, 2020

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Codice articolo 26378036595

Dati bibliografici

• Titolo: Collineations and Conic Sections: An Introduction to Projective Geometry in its History
• Editore: Springer
• Data di pubblicazione: 2020
• Lingua: Inglese
• ISBN 10: 3030462862
• ISBN 13: 9783030462864
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

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.

Dalla quarta di copertina

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.