找回密码
 To register

QQ登录

只需一步,快速开始

扫一扫,访问微社区

Titlebook: Duality in 19th and 20th Century Mathematical Thinking; Ralf Krömer,Emmylou Haffner Book 2024 The Editor(s) (if applicable) and The Author

[复制链接]
查看: 41847|回复: 54
发表于 2025-3-21 16:05:52 | 显示全部楼层 |阅读模式
书目名称Duality in 19th and 20th Century Mathematical Thinking
编辑Ralf Krömer,Emmylou Haffner
视频video
概述Provides an extensive and multidisciplinary investigation of the history of duality.Discusses in depth the uses and circulation of various notions of duality.Offers a comprehensive overview of duality
丛书名称Science Networks. Historical Studies
图书封面Titlebook: Duality in 19th and 20th Century Mathematical Thinking;  Ralf Krömer,Emmylou Haffner Book 2024 The Editor(s) (if applicable) and The Author
描述.This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon. 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 manifestations of duality, thus presenting a nuanced and comprehensive perspective on this intricate subject...Spanning a broad spectrum of mathematical topics and historical periods, the book uses detailed case studies to investigate the different forms in which duality appeared and still appears in mathematics, to study their respective histories, and to analyze interactions between the different forms of duality. The chapters inquire into questions such as the contextual occurrences of duality in mathematics, the influence of chosen forms of representation, the impact of investigations of duality on mathematical practices, and the historical interconnections among various instances of duality. Together, they aim to answer a core question: Is t
出版日期Book 2024
关键词Duality in Mathematics; HIstory of Mathematics; 19th century; 20th century; Philosophy of mathematics; De
版次1
doihttps://doi.org/10.1007/978-3-031-59797-8
isbn_softcover978-3-031-59799-2
isbn_ebook978-3-031-59797-8Series ISSN 1421-6329 Series E-ISSN 2296-6080
issn_series 1421-6329
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

书目名称Duality in 19th and 20th Century Mathematical Thinking影响因子(影响力)




书目名称Duality in 19th and 20th Century Mathematical Thinking影响因子(影响力)学科排名




书目名称Duality in 19th and 20th Century Mathematical Thinking网络公开度




书目名称Duality in 19th and 20th Century Mathematical Thinking网络公开度学科排名




书目名称Duality in 19th and 20th Century Mathematical Thinking被引频次




书目名称Duality in 19th and 20th Century Mathematical Thinking被引频次学科排名




书目名称Duality in 19th and 20th Century Mathematical Thinking年度引用




书目名称Duality in 19th and 20th Century Mathematical Thinking年度引用学科排名




书目名称Duality in 19th and 20th Century Mathematical Thinking读者反馈




书目名称Duality in 19th and 20th Century Mathematical Thinking读者反馈学科排名




单选投票, 共有 0 人参与投票
 

0票 0%

Perfect with Aesthetics

 

0票 0%

Better Implies Difficulty

 

0票 0%

Good and Satisfactory

 

0票 0%

Adverse Performance

 

0票 0%

Disdainful Garbage

您所在的用户组没有投票权限
发表于 2025-3-21 23:31:45 | 显示全部楼层
Alfred Karl Louis,Peter Maaß,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.
发表于 2025-3-22 04:26:46 | 显示全部楼层
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.
发表于 2025-3-22 08:03:35 | 显示全部楼层
发表于 2025-3-22 09:17:34 | 显示全部楼层
发表于 2025-3-22 15:48:22 | 显示全部楼层
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.
发表于 2025-3-22 19:21:30 | 显示全部楼层
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.
发表于 2025-3-23 00:02:54 | 显示全部楼层
,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.
发表于 2025-3-23 01:47:57 | 显示全部楼层
发表于 2025-3-23 06:29:41 | 显示全部楼层
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.
 关于派博传思  派博传思旗下网站  友情链接
派博传思介绍 公司地理位置 论文服务流程 影响因子官网 SITEMAP 大讲堂 北京大学 Oxford Uni. Harvard Uni.
发展历史沿革 期刊点评 投稿经验总结 SCIENCEGARD IMPACTFACTOR 派博系数 清华大学 Yale Uni. Stanford Uni.
|Archiver|手机版|小黑屋| 派博传思国际 ( 京公网安备110108008328) GMT+8, 2025-5-23 11:58
Copyright © 2001-2015 派博传思   京公网安备110108008328 版权所有 All rights reserved
快速回复 返回顶部 返回列表