Analytic Projective Geometry

Projective geometry is the geometry of vision, closely related to linear algebra and symmetry. This book provides a comprehensive survey of the subject, mixing recent results with history, and is valuable for undergraduate and beginning graduate students learning classic geometry and young researchers in computer graphics.

Format: Hardback
Length: 450 pages
Publication date: 19 October 2023
Publisher: Cambridge University Press

Projective geometry, a captivating branch of mathematics, delves into the realm of vision and offers a fresh perspective to students. This comprehensive book takes a systematic approach, emphasizing its close connection with linear algebra and the fundamental role of symmetry. Beginning with a solid foundation in elementary and familiar geometry, readers are guided on a journey of exploration, gradually building upon their knowledge through geometric pathways. As they venture into the depths of the subject, they discover intriguing and profound aspects, unveiling the rich tapestry of projective geometry.

Through a projective lens, this text uncovers the fascinating connections between seemingly distant (and ancient) results in Euclidean geometry. By seamlessly blending recent advancements from the past century with the historical backdrop of the field, this text emerges as one of the most comprehensive surveys of the subject. It serves as an invaluable resource for undergraduate and beginning graduate students delving into the realm of classic geometry, as well as young researchers in computer graphics. The inclusion of worked examples and diagrams throughout further enhances the understanding and accessibility of the material.

Projective geometry offers a unique perspective on geometry, shedding light on its applications in various fields. It finds significance in computer graphics, where it plays a crucial role in rendering and manipulating images. Moreover, projective geometry has profound implications in cryptography, where it is used for secure communication and data encryption. In the realm of mathematics education, projective geometry serves as a valuable tool for fostering creativity and problem-solving skills.

In conclusion, projective geometry is a captivating and dynamic field that offers students a fresh perspective on mathematics. This book provides an excellent introduction to the subject, guiding readers through its intricacies and highlighting its connections with other branches of mathematics. Whether you are a student seeking to deepen your understanding of classic geometry or a researcher exploring the frontiers of computer graphics, this text is a valuable resource that will enrich your knowledge and inspire your exploration.

Weight: 856g
Dimension: 159 x 237 x 33 (mm)
ISBN-13: 9781009260596