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portada Bernhard Riemann — On the Hypotheses Which Lie at the Bases of Geometry
Type
Physical Book
Collection
Classic Texts in the Sciences
Year
2025
Pages
188
Format
Hardcover
Dimensions
24.00 x 16.80 cm
ISBN13
9783031914881

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

Jurgen Jost (Author) · Birkhauser Verlag AG · Hardcover

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

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Synopsis "Bernhard Riemann — On the Hypotheses Which Lie at the Bases of Geometry"

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. The second edition includes expanded mathematical commentary, a new section on metric geometry and machine learning, a systematic bibliography, and numerous updates throughout. Appealing to mathematicians, historians, and readers with an interest in physics or philosophy, this book provides a comprehensive perspective on Riemann’s groundbreaking contributions and their lasting impact.

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