The Non-Euclidean Revolution

This is the story of the 2100-year intellectual adventure which led to the new geometry's invention. After recounting the origin of deductive geometry in Ancient Greece, the book reviews its fundamentals, using Euclid's original treatise. It then discusses the events that led to the invention of a geometry that contradicts Euclidean geometry. The work concludes by discussing how the invention of non-Euclidean geometry has changed mathematicians' view of their subject, and contributed to the emergence of a new theory of knowledge.