標(biāo)題: Titlebook: On the Hypotheses Which Lie at the Bases of Geometry; Bernhard Riemann,Jürgen Jost Book 2016 Springer International Publishing Switzerland [打印本頁(yè)] 作者: 相持不下 時(shí)間: 2025-3-21 18:46
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作者: 小畫(huà)像 時(shí)間: 2025-3-21 23:41
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 作者: Contracture 時(shí)間: 2025-3-22 01:34 作者: Inflammation 時(shí)間: 2025-3-22 07:59
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作者: Lobotomy 時(shí)間: 2025-3-22 12:44
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作者: 分期付款 時(shí)間: 2025-3-22 15:21
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作者: 污點(diǎn) 時(shí)間: 2025-3-22 18:51
Jürgen Jostricht zeitgem?? 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 vielf?ltiger Zug?nge gelingen kann.?.Eine wichti作者: MARS 時(shí)間: 2025-3-22 21:17
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作者: commonsense 時(shí)間: 2025-3-23 02:01 作者: Headstrong 時(shí)間: 2025-3-23 08:25
Jürgen Josthtet sich vor allem an Personen, die in ihrer Arbeit mit inkSprachliche Verstellungen in inkriminierten Texten wie Erpresserbriefen und Drohschreiben sind ein Ph?nomen, mit dem Gutachter/innen – beispielsweise im Rahmen von polizeilichen Ermittlungen – immer wieder konfrontiert werden. Um ihre Ident作者: glowing 時(shí)間: 2025-3-23 11:01
Jürgen Jost) zusammengefasst. Der akustische Fahrkomfort ist ein Wettbewerbskriterium. Vom Gesetzgeber wird aus Umweltschutzgründen auch die Ger?uschemission immer st?rker limitiert. Das anteilige Motorger?usch ist nicht exakt vorausberechenbar. Es ist dennoch auf halbempirischem Weg m?glich, das Motorger?usch作者: 顛簸地移動(dòng) 時(shí)間: 2025-3-23 15:09
stausch der Zylinderfüllung. Beide Vorg?nge unterscheiden sich deutlich. Das Einstr?men des Frischgases pr?gt die Gemischbildung und das Str?mungsfeld im Zylinder. Zudem steuert der Ladungswechsel den im Zylinder verbleibenden Abgasanteil, das so genannte Restgas. Der Ladungswechsel beeinflusst so e作者: 結(jié)構(gòu) 時(shí)間: 2025-3-23 20:16 作者: 接觸 時(shí)間: 2025-3-23 23:04 作者: Bernstein-test 時(shí)間: 2025-3-24 04:53
,Riemann’s Text,n Clifford (1845–1879) in ., Vol. VIII, Nos. 183, 184, 1873, pp. 14–17, 36, 37, and is reproduced in W. Clifford, ., edited by Robert Tucker, with an introduction by H.J. Stephen Smith, London, MacMillan and Co., 1882, pp. 55–71.作者: mastopexy 時(shí)間: 2025-3-24 10:26
978-3-319-79880-6Springer International Publishing Switzerland 2016作者: Felicitous 時(shí)間: 2025-3-24 13:28 作者: 大火 時(shí)間: 2025-3-24 17:42 作者: 終點(diǎn) 時(shí)間: 2025-3-24 20:01
,Reception and Influence of Riemann’s Text,For the understanding of Riemann’s lecture and its importance, the comparison with the reasonings of the physiologist and physicist Hermann von Helmholtz is particularly important.作者: 泰然自若 時(shí)間: 2025-3-25 00:28 作者: Juvenile 時(shí)間: 2025-3-25 05:32
On the Hypotheses Which Lie at the Bases of Geometry作者: restrain 時(shí)間: 2025-3-25 11:08 作者: 存在主義 時(shí)間: 2025-3-25 15:02 作者: triptans 時(shí)間: 2025-3-25 18:19 作者: 鴕鳥(niǎo) 時(shí)間: 2025-3-25 22:58
2365-9963 aders from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.978-3-319-79880-6978-3-319-26042-6Series ISSN 2365-9963 Series E-ISSN 2365-9971 作者: Cantankerous 時(shí)間: 2025-3-26 02:56
Introduction, Alexander Grothendieck on the systematic unification of algebraic geometry and arithmetic. We are talking here of Bernhard Riemann’s “.” (“.”), and this short script, written in 1854, but only published in 1868 after Riemann’s death, whose wide ranging effects even take it beyond these works. This 作者: 存在主義 時(shí)間: 2025-3-26 04:27
Historical Introduction,it is like any other, and isotropic, that is, in all directions it looks the same. No point and no direction is in any way distinguished. Aristotle (384–322 .) in contrast thought of the world as a collection of places. According to him, the location of an object is determined by its bounding surfac作者: 敲詐 時(shí)間: 2025-3-26 11:36
Presentation of the Text, certain natural constraints). This structure can then be restricted on the one hand by conditions of simplicity and on the other hand by empirical testing if it is supposed to describe the actual physical space. Riemann then describes the quantitative structure by a so-called metric tensor, which f作者: 樹(shù)木中 時(shí)間: 2025-3-26 15:02 作者: diabetes 時(shí)間: 2025-3-26 17:07 作者: 悲痛 時(shí)間: 2025-3-26 22:33 作者: coddle 時(shí)間: 2025-3-27 04:35 作者: 發(fā)電機(jī) 時(shí)間: 2025-3-27 07:40 作者: Salivary-Gland 時(shí)間: 2025-3-27 13:00
Book 2016osophical 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 hi作者: 獎(jiǎng)牌 時(shí)間: 2025-3-27 13:50
2365-9963 chronological table.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 reaso作者: jaunty 時(shí)間: 2025-3-27 19:46
Modern Research,l forces, specifically on one hand the electromagnetic, weak and strong interactions, which are already unified in the so-called Standard Model, and gravity on the other hand, it is also undisputed that Riemannian geometry provides an essential formalism for this purpose.作者: 暴露他抗議 時(shí)間: 2025-3-27 22:52 作者: 內(nèi)疚 時(shí)間: 2025-3-28 05:24
