Explore non-Euclidean geometry from history to modern thought, with rigorous exercises for deep understanding.
This book surveys how geometry broadens beyond Euclid’s framework. It moves from historical origins to modern developments, blending mathematical detail with philosophical context. The edition emphasizes disciplined reasoning and aims to support private study, college work, and advanced teaching.
- Learn the ideas of hyperbolic and elliptic geometry, and how they relate to each other.
- See how projective methods and metric concepts interact in non-Euclidean settings.
- Work through exercises designed to reinforce key theorems and definitions.
- Understand the broader history and the philosophical implications of curved space.
Ideal for readers of advanced geometry, math history, and curriculum-focused study.