On the Hypotheses Which Lie at the Bases of Geometry, Softcover reprint of the original 1st ed. 2016
Classic Texts in the Sciences Series

This book presents William Clifford?s English translation of Bernhard Riemann?s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann?s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann?s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann?s times to contemporary research. 

Presents a revised translation of Riemann's classic text

Connects modern research with Riemann's text

Includes a biographical outline and a chronological table