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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.
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.
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 |
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 |
Warnhinweis