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...
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| Materialtyp: | Elektronisk E-bok |
| Språk: | engelska |
| Publicerad: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| Upplaga: | 2nd ed. 2025. |
| Serie: | Classic Texts in the Sciences,
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| Länkar: | https://doi.org/10.1007/978-3-031-91489-8 |
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| 100 | 1 | |a Jost, Jürgen. |e author. |0 (orcid)0000-0001-5258-6590 |1 https://orcid.org/0000-0001-5258-6590 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Bernhard Riemann — On the Hypotheses Which Lie at the Bases of Geometry |h [electronic resource] / |c by Jürgen Jost. |
| 250 | |a 2nd ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2025. | |
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| 505 | 0 | |a Introduction -- Historical background -- Riemann's habilitation -- Presentation of the texts -- Reception and impact on history -- Modern research -- Bibliography. | |
| 520 | |a 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
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| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
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| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a History. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 1 | 4 | |a History of Mathematical Sciences. |
| 650 | 2 | 4 | |a Differential Geometry. |
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