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Bernhard Riemann -- On the Hypotheses Which Lie at the Bases of Geometry

Bernhard Riemann -- On the Hypotheses Which Lie at the Bases of Geometry

Hardcover

Series: Classic Texts in the Sciences

General MathematicsGeometry

ISBN10: 3031914880
ISBN13: 9783031914881
Publisher: Birkhauser
Published: Sep 1 2025
Pages: 188
Weight: 1.15
Height: 0.50 Width: 6.69 Depth: 9.61
Language: English
This book presents William Clifford's English translation of Bernhard Riemann's seminal text, accompanied by detailed mathematical, historical, and philosophical commentary. It explores Riemann's revolutionary ideas on space, placing them within the broader framework developed by later thinkers such as Helmholtz, Ricci, Weyl, and Einstein. A historical introduction situates Riemann's work in its 19th-century context, while subsequent chapters trace the evolution of the concept of space across philosophy, physics, and mathematics, and examine its enduring influence up to modern research.

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General Mathematics