Projective Geometry, Vol. 2 (Classic Reprint) - Hardcover

Oswald Veblen

Hardcover

ISBN 10: 048460774X ISBN 13: 9780484607742

Publisher: Forgotten Books, 2022

Synopsis

Foundations and interrelations of geometry made clear — this volume surveys projective, affine, and Euclidean geometry along with non-Euclidean ideas, showing how they fit together in a single logical structure.

This book offers an elementary, focused account of the foundations and connections among the main geometries, with attention to what assumptions drive each result. It highlights how different spaces shape the theorems and how cross‑references reveal where a fact belongs. The work also explores inversion geometry and complex inversion planes, linking abstract theory to concrete geometric figures like quadrics and conics.

• A clear, systematic path from general projective foundations to ordered and modular spaces
• Explanations of how transformations and symmetries organize various geometries
• Concrete discussions of inversion geometry, complex planes, and their real counterparts
• Connections between classical figures (cones, quadrics, conics) and modern geometric frameworks

Ideal for readers who want a solid grounding in the logical structure of geometry and its diverse forms, with an eye toward where each result belongs and why it matters.

Edition details

• Publisher: Forgotten Books
• Publication date: 2022
• Language: English
• ISBN 10: 048460774X
• ISBN 13: 9780484607742
• Binding: Hardcover
• Number of pages: 525