This is an advanced undergraduate textbook on projective geometry. It provides an introduction to the basic concepts of projective geometry, using first an analytical and later an axiomatic (or synthetic) treatment, before moving on to the more advanced topic of conics. The treatment of both viewpoints, as covered by the first two chapters, aims at offering a broader view of the subject to both students and instructors. However, since the chapters can be read independently from each other, one can choose which viewpoint to focus on.

In addition to analytic geometry, the reader is expected to be familiar with linear algebra and abstract algebra, including the basic properties of groups and fields.

Presents both the analytic and the synthetic viewpoints Treats conic sections Includes problems for practice

Autorentext

Emre Cökun is an Associate Professor of Mathematics at Middle East Technical University with research interests in algebraic geometry.

Inhalt

Chapter 1. The Analytic Approach: Projective Planes over a Field.- Chapter 2. The Synthetic Approach: Axioms for Projective Planes.- Chapter 3. Conics.