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Titlebook: On the Hypotheses Which Lie at the Bases of Geometry; Bernhard Riemann,Jürgen Jost Book 2016 Springer International Publishing Switzerland

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发表于 2025-3-21 18:46:30 | 显示全部楼层 |阅读模式
书目名称On the Hypotheses Which Lie at the Bases of Geometry
编辑Bernhard Riemann,Jürgen Jost
视频video
概述Presents a revised translation of Riemann‘s classic text.Connects modern research with Riemann‘s text.Includes a biographical outline and a chronological table
丛书名称Classic Texts in the Sciences
图书封面Titlebook: On the Hypotheses Which Lie at the Bases of Geometry;  Bernhard Riemann,Jürgen Jost Book 2016 Springer International Publishing Switzerland
描述.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.
出版日期Book 2016
关键词Hermann Weyl commentary; Riemannian geometry; general relativity theory; geometry and space; notion of s
版次1
doihttps://doi.org/10.1007/978-3-319-26042-6
isbn_softcover978-3-319-79880-6
isbn_ebook978-3-319-26042-6Series ISSN 2365-9963 Series E-ISSN 2365-9971
issn_series 2365-9963
copyrightSpringer International Publishing Switzerland 2016
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发表于 2025-3-21 23:41:47 | 显示全部楼层
Historical Introduction,he physiology of the senses into the discussion. Therefore, in order to historically situate Riemann’s text, let us first sketch the history of the space problem as developed in those sciences. The starting point of geometrical research is Euclid (fl. 300 .). As is well known, in his Elements, from
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Presentation of the Text,irically determinable characteristics and secondly loses its uniqueness as a mathematical space. For this purpose, Riemann first introduces the concept of a multiply extended variety or manifold. A manifold is characterized in that its sufficiently small parts can be fully and non-redundantly descri
发表于 2025-3-22 12:44:36 | 显示全部楼层
Modern Research,hical debates and controversies are largely decided. Although modern physics is still struggling with the fundamental problem of the unification of all forces, specifically on one hand the electromagnetic, weak and strong interactions, which are already unified in the so-called Standard Model, and g
发表于 2025-3-22 15:21:46 | 显示全部楼层
Jürgen Jostund Ausbildung relevanter Grundvorstellungen zum Funktionalen Denken (Beckmann 2007; Barzel 2009; Ganter 2013): Funktion als Kovariation, als Zuordnung und als Objekt. Im Rahmen einer Interventionsstudie wurde eine positive Wirkung der Integration von realen Experimenten in den Begriffsbildungsproze
发表于 2025-3-22 18:51:28 | 显示全部楼层
Jürgen Jostricht zeitgemäß gestalten.Der vorliegende Sammelband zeigt anhand unterschiedlicher Konzepte und Beispiele aus der mathematikdidaktischen Forschung und der Praxis des Mathematikunterrichts, wie verstehensorientiertes Mathematiklernen durch die Nutzung vielfältiger Zugänge gelingen kann. .Eine wichti
发表于 2025-3-22 21:17:28 | 显示全部楼层
Jürgen Jost der Klassenstufe 7. Der Schwerpunkt des Forschungsinteresses lag auf den langfristig zu beobachtenden Effekten eines CAS-Einsatzes auf die Denk- und Kompetenzentwicklung und das Mathematikinteresse sowie auf den Vorstellungen über Mathematik der Schülerinnen und Schüler. Mit verschiedenen Instrumen
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发表于 2025-3-23 08:25:05 | 显示全部楼层
Jürgen Josthtet sich vor allem an Personen, die in ihrer Arbeit mit inkSprachliche Verstellungen in inkriminierten Texten wie Erpresserbriefen und Drohschreiben sind ein Phänomen, mit dem Gutachter/innen – beispielsweise im Rahmen von polizeilichen Ermittlungen – immer wieder konfrontiert werden. Um ihre Ident
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