On the Hypotheses Which Lie at the Bases of Geometry

The book offers an English translation of Bernhard Riemann's influential work, enriched with extensive commentary on its mathematical, historical, and philosophical implications. It contextualizes Riemann's ideas within the broader developments in mathematics and physics, referencing key figures like Helmholtz and Einstein. A historical introduction explores the evolution of the concept of space across disciplines, while a chapter on the text's reception traces its impact from Riemann's era to modern research, highlighting its enduring significance.