Buch, Englisch, 188 Seiten, Format (B × H): 173 mm x 246 mm, Gewicht: 519 g
Buch, Englisch, 188 Seiten, Format (B × H): 173 mm x 246 mm, Gewicht: 519 g
Reihe: Classic Texts in the Sciences
ISBN: 978-3-031-91488-1
Verlag: Birkhäuser
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
- Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
- Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
Weitere Infos & Material
Introduction.- Historical background.- Riemann's habilitation.- Presentation of the texts.- Reception and impact on history.- Modern research.- Bibliography.
