Geometry David A. Brannan, Matthew F. Esplen, and Jeremy J. Gray is an English-language textbook that focuses on geometry and is suitable for students in higher education. It covers various geometries using Klein's Erlangen program.
This undergraduate textbook clearly presents the theory of affine, projective, inversive, hyperbolic, and elliptic geometry. The text includes clear explanations of key results and the relationships among the different geometries.
The second edition provides a list of special symbols, a well-organized list of further readings, and extensive chapter summaries. The end-of-chapter exercises have been revised and made more challenging, and the solutions are included both in the book and in the instructors manual available online.
This combination of theory, exercises, and an instructors manual makes the book suitable for intensive use as a reference and study book in, among other things, advanced mathematics courses.
Topics: Geometry, MATHEMATICS / Topology, Science & Mathematics: Textbooks & Study Guides.