標(biāo)題: Titlebook: Duality in 19th and 20th Century Mathematical Thinking; Ralf Kr?mer,Emmylou Haffner Book 2024 The Editor(s) (if applicable) and The Author [打印本頁(yè)] 作者: JAR 時(shí)間: 2025-3-21 16:05
書(shū)目名稱(chēng)Duality in 19th and 20th Century Mathematical Thinking影響因子(影響力)
書(shū)目名稱(chēng)Duality in 19th and 20th Century Mathematical Thinking影響因子(影響力)學(xué)科排名
書(shū)目名稱(chēng)Duality in 19th and 20th Century Mathematical Thinking網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱(chēng)Duality in 19th and 20th Century Mathematical Thinking網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱(chēng)Duality in 19th and 20th Century Mathematical Thinking被引頻次
書(shū)目名稱(chēng)Duality in 19th and 20th Century Mathematical Thinking被引頻次學(xué)科排名
書(shū)目名稱(chēng)Duality in 19th and 20th Century Mathematical Thinking年度引用
書(shū)目名稱(chēng)Duality in 19th and 20th Century Mathematical Thinking年度引用學(xué)科排名
書(shū)目名稱(chēng)Duality in 19th and 20th Century Mathematical Thinking讀者反饋
書(shū)目名稱(chēng)Duality in 19th and 20th Century Mathematical Thinking讀者反饋學(xué)科排名
作者: 不滿(mǎn)分子 時(shí)間: 2025-3-21 23:31
Alfred Karl Louis,Peter Maa?,Andreas Riederearch. On the other hand, a close link between Hodge’s theory and the Maxwell equation has been claimed not only from a systematic point of view but also historically by Hodge’s former student M. Atiyah in his talks on dualities in mathematics and physics.作者: backdrop 時(shí)間: 2025-3-22 04:26
Advanced Lectures in Mathematicsduality. Let us give a first example: Lautman speaks of duality when two points of view, sometimes distinct, sometimes opposed, sometimes complementary, can be adopted to study the same mathematical entity.作者: 怕失去錢(qián) 時(shí)間: 2025-3-22 08:03 作者: NAIVE 時(shí)間: 2025-3-22 09:17 作者: 委屈 時(shí)間: 2025-3-22 15:48
Philosophical and mathematical duality in Albert Lautman’s workduality. Let us give a first example: Lautman speaks of duality when two points of view, sometimes distinct, sometimes opposed, sometimes complementary, can be adopted to study the same mathematical entity.作者: 委屈 時(shí)間: 2025-3-22 19:21
Duality and Distributions: An Application of Topological Vector Spacesto the main proponent of the latter, Bourbaki (1960 and 1955), the development of the theory of normed spaces came to a temporary halt after the appearance of Stefan Banach’s book . (1932). Instead, functional analysis went in the direction of more general spaces such as locally convex spaces in particular Frechet spaces.作者: LUCY 時(shí)間: 2025-3-23 00:02
,Technischer Hochwasserschutz – Bauvorsorge,ality” was coined (although “reciprocity” or “polarity” were also used). With the emergence of modern mathematics during the 19th and 20th centuries, the number of phenomena labelled “duality” exploded.作者: 發(fā)炎 時(shí)間: 2025-3-23 01:47 作者: Outshine 時(shí)間: 2025-3-23 06:29
Die kontinuierliche Wavelet-Transformation, and elsewhere, from various biographic and autobiographical accounts concerning Pontrjagin himself or some of his contemporaries, from archival material available at the ETH Zurich (in particular, Heinz Hopf’s correspondence with Paul Alexandroff and other colleagues) and at the IAS Princeton, and from secondary literature.作者: dearth 時(shí)間: 2025-3-23 12:56
Introduction,ality” was coined (although “reciprocity” or “polarity” were also used). With the emergence of modern mathematics during the 19th and 20th centuries, the number of phenomena labelled “duality” exploded.作者: amputation 時(shí)間: 2025-3-23 14:46 作者: 用樹(shù)皮 時(shí)間: 2025-3-23 20:36
The historical development of Pontrjagin duality and elsewhere, from various biographic and autobiographical accounts concerning Pontrjagin himself or some of his contemporaries, from archival material available at the ETH Zurich (in particular, Heinz Hopf’s correspondence with Paul Alexandroff and other colleagues) and at the IAS Princeton, and from secondary literature.作者: Embolic-Stroke 時(shí)間: 2025-3-24 00:57
Book 2024enomenon. Encompassing both systematic analysis and historical examination, the book endeavors to elucidate the status, roles, and dynamics of duality within the realms of 19th and 20th-century mathematics. Eschewing .a priori. notions, the contributors embrace the diverse interpretations and manife作者: neologism 時(shí)間: 2025-3-24 03:09 作者: 考古學(xué) 時(shí)間: 2025-3-24 09:08 作者: 財(cái)產(chǎn) 時(shí)間: 2025-3-24 10:57
https://doi.org/10.1007/978-3-031-59797-8Duality in Mathematics; HIstory of Mathematics; 19th century; 20th century; Philosophy of mathematics; De作者: innovation 時(shí)間: 2025-3-24 17:22 作者: 演講 時(shí)間: 2025-3-24 22:21 作者: 會(huì)議 時(shí)間: 2025-3-25 02:46 作者: Abutment 時(shí)間: 2025-3-25 04:17
,Technischer Hochwasserschutz – Bauvorsorge,fferent names, such a the duality of Platonic solids in book XV of the . and in Kepler’s . books II and V, or the polar triangle in spherical geometry. The idea became more prominent and explicit in the context of projective geometry starting around 1810, and it was in this context that the term “du作者: 熱心助人 時(shí)間: 2025-3-25 10:04 作者: 令人作嘔 時(shí)間: 2025-3-25 12:10 作者: 細(xì)微的差異 時(shí)間: 2025-3-25 17:09 作者: 反感 時(shí)間: 2025-3-25 23:41 作者: Feature 時(shí)間: 2025-3-26 02:24 作者: 神化怪物 時(shí)間: 2025-3-26 05:56
Advanced Lectures in Mathematicstman (1908-1944); however, a first comparative analysis attests to the variety of meanings, uses and functions that he ascribes to the very notion of duality. Let us give a first example: Lautman speaks of duality when two points of view, sometimes distinct, sometimes opposed, sometimes complementar作者: 演講 時(shí)間: 2025-3-26 09:10
Hans-Joachim Kabitz,Rolf Dembinskiname is related to the history of at least two such phenomena, namely adjoint (or dual) operators in functional analysis, and the result known as Stone duality in the theory of Boolean algebras. Note that the two phenomena, although they both mark the scientific work of the same mathematician, are q作者: 昆蟲(chóng) 時(shí)間: 2025-3-26 15:03
https://doi.org/10.1007/978-0-387-85895-1 More precisely, we will inspect various occurences of duality in Bourbaki’s activities, mostly in the time period from the founding of the group in 1934 to the appearance of the chapter on linear algebra in 1947 (we will explain in 14.2 why our focus is on this chapter in particular). During that p作者: Ancestor 時(shí)間: 2025-3-26 20:23 作者: Isometric 時(shí)間: 2025-3-27 00:21 作者: Biguanides 時(shí)間: 2025-3-27 04:24 作者: Deadpan 時(shí)間: 2025-3-27 07:27 作者: 文件夾 時(shí)間: 2025-3-27 11:18 作者: ATP861 時(shí)間: 2025-3-27 15:12 作者: Intact 時(shí)間: 2025-3-27 18:45 作者: outrage 時(shí)間: 2025-3-28 00:08
Duality as a guiding light in the genesis of Dedekind’s In (Dedekind, 1897b), Richard Dedekind recalled how he was led to the notion of Dualgruppe, formally equivalent to our lattices, which he introduced there for the first time:.For many years, I have been busy with these questions, but I was compelled to do so not by logic but by the theory of these systems of numbers which I call modules.作者: 漂白 時(shí)間: 2025-3-28 03:31
Tannaka Tadao‘s 1938 paper on the duality of noncommutative topological groups and its historical baThe study of the interplay between a group and the category of its representations has come to be called Tannaka duality theory (Joyal and Street, 1991, p. 413)作者: Sarcoma 時(shí)間: 2025-3-28 07:27 作者: 免費(fèi) 時(shí)間: 2025-3-28 10:58 作者: rods366 時(shí)間: 2025-3-28 17:52 作者: Focus-Words 時(shí)間: 2025-3-28 22:21 作者: TOXIN 時(shí)間: 2025-3-28 23:13
https://doi.org/10.1007/978-981-99-1541-5ents with two binary operations ∪ and ∩, a unary operation ′, and two designated elements 0 and 1, such that the set is closed under these operations and the following equalities hold (Goodstein, 1963, p. 21)作者: 種族被根除 時(shí)間: 2025-3-29 06:48 作者: 植物茂盛 時(shí)間: 2025-3-29 10:45 作者: Gullible 時(shí)間: 2025-3-29 11:58 作者: 原告 時(shí)間: 2025-3-29 16:28 作者: 凝乳 時(shí)間: 2025-3-29 22:37
Duality theorems in topologyhe 19th century, and we will see that there are rather explicit ties between the duality phenomena in question and classical duality in geometry. As is well known, a major step towards the development of topology as an independent mathematical subdiscipline in its present form was the work of Henri 作者: 石墨 時(shí)間: 2025-3-30 00:50 作者: 富饒 時(shí)間: 2025-3-30 04:39 作者: HOWL 時(shí)間: 2025-3-30 08:31
Marshall Stone and duality: from differential equations to Boolean algebrasname is related to the history of at least two such phenomena, namely adjoint (or dual) operators in functional analysis, and the result known as Stone duality in the theory of Boolean algebras. Note that the two phenomena, although they both mark the scientific work of the same mathematician, are q作者: 極大痛苦 時(shí)間: 2025-3-30 15:42 作者: 翻動(dòng) 時(shí)間: 2025-3-30 17:43
Duality and Distributions: An Application of Topological Vector Spaces of functions came from classical hard analysis; the methods that provided the solution came from modern structuralist functional analysis. According to the main proponent of the latter, Bourbaki (1960 and 1955), the development of the theory of normed spaces came to a temporary halt after the appea作者: amygdala 時(shí)間: 2025-3-31 00:07
Hans-Joachim Kabitz,Rolf Dembinskithing like a notion are: Why was it introduced, what purpose did it serve for, which problems had been solved by its introduction, which other notions might have inspired its introduction, which were the backgrounds of the researchers introducing it and which role might they have played and so on. S作者: 船員 時(shí)間: 2025-3-31 02:07
https://doi.org/10.1007/978-0-387-85895-1was crucial for duality nor the other way round. Our claim is a somewhat more modest one, namely that a focus on duality provides new insights in Bourbaki’s history, and a focus on Bourbaki provides new insights in the development of duality.
