Projective Geometry / by Emre Coşkun.

Format:

Book

Author/Creator:

Coşkun, Emre.

Series:

Compact Textbooks in Mathematics, 2296-455X

Language:

English

Subjects (All):

Geometry, Projective.

Projective Geometry.

Local Subjects:

Projective Geometry.

Physical Description:

1 online resource (225 pages)

Edition:

1st ed. 2025.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.

Summary:

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.

Contents:

Chapter 1. The Analytic Approach: Projective Planes over a Field

Chapter 2. The Synthetic Approach: Axioms for Projective Planes

Chapter 3. Conics.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-032-02196-0

9783032021960

OCLC:

1546403366