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On the hypotheses which lie at the bases of geometry / / by Bernhard Riemann ; edited by Jürgen Jost



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Autore: Riemann Bernhard Visualizza persona
Titolo: On the hypotheses which lie at the bases of geometry / / by Bernhard Riemann ; edited by Jürgen Jost Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016
Edizione: 1st ed. 2016.
Descrizione fisica: 1 online resource (181 p.)
Disciplina: 516
Soggetto topico: Mathematics
History
History of Mathematical Sciences
Persona (resp. second.): JostJürgen
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Introduction -- Historical background -- Riemann's habilitation -- Presentation of the texts -- Reception and impact on history -- Modern research -- Bibliography.
Sommario/riassunto: 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. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
Titolo autorizzato: On the Hypotheses Which Lie at the Bases of Geometry  Visualizza cluster
ISBN: 3-319-26042-1
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254072403321
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Serie: Classic Texts in the Sciences, . 2365-9963