Reviews
Description
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.
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.
Reviews