Collineations and Conic Sections (eBook)

An Introduction to Projective Geometry in its History

Christopher Baltus (Autor)

eBook Download: PDF

2020 | 1st ed. 2020
XI, 187 Seiten
Springer International Publishing (Verlag)
978-3-030-46287-1 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 1.9.2020
• Zusatzinfo: XI, 187 p.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: ancient Greek mathematics • Apollonius • conics • Desargues’ theorem • Euclid's elements • foci • group properties • harmonic division • Involution • Jean-Victor Poncelet • matrices for collineations • Philippe de la Hire
• ISBN-10: 3-030-46287-0 / 3030462870
• ISBN-13: 978-3-030-46287-1 / 9783030462871