An Introduction to Projective Geometry (Classic Reprint) - Softcover

Louis Napoleon George Filon

 
9781330303634: An Introduction to Projective Geometry (Classic Reprint)

Synopsis

Explore the foundations and modern methods of projective geometry with a clear, reader‑friendly guide.

This classic introduction invites you to learn how figures relate through projection, cross-ratio, and homography, using concrete drawings and step‑by‑step explanations. It emphasizes practical understanding for beginners while hinting at the rich ideas that unfold in later chapters.

This edition presents the subject with a balance of geometric insight and analytical tools, showing how imaginary elements and algebraic ideas can clarify real theorems. It covers core concepts such as projection, conics, polarity, and the role of invariants, all while keeping the material approachable and grounded in familiar geometry.
  • Foundational ideas: correspondence, projection, and the birth of projective geometry
  • Key techniques: cross-ratio, homography, and the transition from plane to space geometry
  • Conics and quadrics: properties, tangents, focal concepts, and related theorems
  • Methods for beginners: drawing‑board constructions, two sets of exercises, and guided practice
Ideal for students starting honours work or readers eager to glimpse modern geometry’s methods and applications. The book is a solid springboard into higher topics in projective geometry and related fields.

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