On the Hypotheses Which Lie at the Bases of Geometry - 0

This book presents William Clifford's English translation of BernhardRiemann's classic text together with detailed mathematical, historical andphilosophical commentary.

The basic concepts and ideas, as well as theirmathematical background, are provided, putting Riemann's reasoning into themore general and systematic perspective achieved by later mathematicians andphysicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of hisseminal ideas.

Following a historical introduction that positions Riemann's workin the context of his times, the history of the concept of space in philosophy,physics and mathematics is systematically presented.

A subsequent chapter onthe reception and influence of the text accompanies the reader from Riemann's timesto contemporary research. Notonly mathematicians and historians of the mathematical sciences, but alsoreaders from other disciplines or those with an interest in physics orphilosophy will find this work both appealing and insightful.