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On the Hypotheses Which Lie at the Bases of Geometry
Buch von Bernhard Riemann
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Presents a revised translation of Riemann's classic text

Connects modern research with Riemann's text

Includes a biographical outline and a chronological table

Inhaltsverzeichnis
Introduction.- Historical background.- Riemann's habilitation.- Presentation of the texts.- Reception and impact on history.- Modern research.- Bibliography.
Details
Erscheinungsjahr: 2016
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
Reihe: Classic Texts in the Sciences
Inhalt: x
172 S.
1 s/w Illustr.
172 p. 1 illus.
ISBN-13: 9783319260402
ISBN-10: 3319260405
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Riemann, Bernhard
Redaktion: Jost, Jürgen
Herausgeber: Jürgen Jost
Auflage: 1st ed. 2016
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Classic Texts in the Sciences
Maße: 246 x 173 x 16 mm
Von/Mit: Bernhard Riemann
Erscheinungsdatum: 26.04.2016
Gewicht: 0,495 kg
Artikel-ID: 104190472
Zusammenfassung

Presents a revised translation of Riemann's classic text

Connects modern research with Riemann's text

Includes a biographical outline and a chronological table

Inhaltsverzeichnis
Introduction.- Historical background.- Riemann's habilitation.- Presentation of the texts.- Reception and impact on history.- Modern research.- Bibliography.
Details
Erscheinungsjahr: 2016
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
Reihe: Classic Texts in the Sciences
Inhalt: x
172 S.
1 s/w Illustr.
172 p. 1 illus.
ISBN-13: 9783319260402
ISBN-10: 3319260405
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Riemann, Bernhard
Redaktion: Jost, Jürgen
Herausgeber: Jürgen Jost
Auflage: 1st ed. 2016
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Classic Texts in the Sciences
Maße: 246 x 173 x 16 mm
Von/Mit: Bernhard Riemann
Erscheinungsdatum: 26.04.2016
Gewicht: 0,495 kg
Artikel-ID: 104190472
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