Résumé. — Le mathématicien franco-suisse Charles-François Sturm est l’auteur d’un théorème peu connu en géométrie projective constituant le sujet principal d’un mémoire consacré aux sections coniques et publié en deux parties en 1826 dans les Annales de mathématiques pures et appliquées de Gergonne. Sturm a découvert ce théorème lors de son premier séjour à Paris en tant que précepteur de la famille de Broglie en 1824. Au début du xix e siècle, une communauté de géomètres français développa le projet d’organiser tout le corpus des propositions géométriques (y compris des théorèmes célèbres comme celui de Pascal) à partir de principes généraux. Les travaux de Sturm firent partie intégrante de ce projet et furent publiés à une époque où des débats sur des questions de rigueur et de bonne pratique de la géométrie animaient la communauté des mathématiciens : comment interpréter le concept de dualité ? Comment le représenter ? Quelle crédibilité donner au controversé principe de continuité énoncé par Poncelet ? De plus, le nouveau théorème découvert par Sturm s’inscrit dans un contexte de compétition et de querelles de priorité avec d’autres jeunes mathématiciens publiant également dans la revue de Gergonne, comme Plücker ou Bobillier. L’étude de la circulation de ce théorème de Sturm peu étudié dans la littérature
{"title":"Les théorèmes projectifs de Sturm et leur circulation","authors":"Sylvain DEMANIE","doi":"10.24033/rhm.239","DOIUrl":"https://doi.org/10.24033/rhm.239","url":null,"abstract":"Résumé. — Le mathématicien franco-suisse Charles-François Sturm est l’auteur d’un théorème peu connu en géométrie projective constituant le sujet principal d’un mémoire consacré aux sections coniques et publié en deux parties en 1826 dans les Annales de mathématiques pures et appliquées de Gergonne. Sturm a découvert ce théorème lors de son premier séjour à Paris en tant que précepteur de la famille de Broglie en 1824. Au début du xix e siècle, une communauté de géomètres français développa le projet d’organiser tout le corpus des propositions géométriques (y compris des théorèmes célèbres comme celui de Pascal) à partir de principes généraux. Les travaux de Sturm firent partie intégrante de ce projet et furent publiés à une époque où des débats sur des questions de rigueur et de bonne pratique de la géométrie animaient la communauté des mathématiciens : comment interpréter le concept de dualité ? Comment le représenter ? Quelle crédibilité donner au controversé principe de continuité énoncé par Poncelet ? De plus, le nouveau théorème découvert par Sturm s’inscrit dans un contexte de compétition et de querelles de priorité avec d’autres jeunes mathématiciens publiant également dans la revue de Gergonne, comme Plücker ou Bobillier. L’étude de la circulation de ce théorème de Sturm peu étudié dans la littérature","PeriodicalId":48984,"journal":{"name":"Revue D Histoire Des Mathematiques","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135532695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Contrasting aims and approaches in the study of ancient Egyptian mathematics in the 1920$ text{s}$","authors":"Christopher D. HOLLINGS, Richard B. PARKINSON","doi":"10.24033/rhm.240","DOIUrl":"https://doi.org/10.24033/rhm.240","url":null,"abstract":"","PeriodicalId":48984,"journal":{"name":"Revue D Histoire Des Mathematiques","volume":"886 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135532699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"P. Tannery : le lien entre les mathématiques et la $Revue$ $Philosophique$","authors":"Charles BRAVERMAN, Jules-Henri GREBER","doi":"10.24033/rhm.238","DOIUrl":"https://doi.org/10.24033/rhm.238","url":null,"abstract":"","PeriodicalId":48984,"journal":{"name":"Revue D Histoire Des Mathematiques","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135532696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Une étude de cas sur les journaux mathématiques pour enseignants et élèves : la théorie des nombres dans les Nouvelles annales de mathématiques (1842-1927)","authors":"J. Boucard","doi":"10.24033/rhm.227","DOIUrl":"https://doi.org/10.24033/rhm.227","url":null,"abstract":"","PeriodicalId":48984,"journal":{"name":"Revue D Histoire Des Mathematiques","volume":"50 1","pages":"3-72"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80255411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Textes et documents : Les lettres de Charles Hermite à Francisco Gomes Teixeira","authors":"Pedro J. Freitas","doi":"10.24033/rhm.228","DOIUrl":"https://doi.org/10.24033/rhm.228","url":null,"abstract":"","PeriodicalId":48984,"journal":{"name":"Revue D Histoire Des Mathematiques","volume":"16 1","pages":"73-95"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89882474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
— This paper is part of a larger research project dealing with the history of the Oberwolfach Research Institute for Mathematics between its foundation in 1944 and the early 1960s. While the history of its foundation is relatively well understood, the development of the institute after 1945 has scarcely been touched on by historians (of mathematics). After World War II the challenge faced by the institute was twofold. On the one hand, it had to virtually reinvent itself, i.e. to strip itself of the agenda of war-related mathematical research and find a new identity suited for the post-war situation. On the other hand, the institute was without a budget as it had completely relied on funds from Berlin, which permanently stopped flowing with the end of the war. To understand how the institute and its director, Wilhelm Süss, dealt with this twofold challenge, the consequences of the institute coincidentally being situated in the French occupation zone, and the potential implications of this political happenstance for the history of mathematics in post-war Germany, will be centre-stage in what follows. The history of the Oberwolfach Institute in the late 1940s and early 1950s cannot be understood without embedding it into the political and cultural context of the French occupation zone, which had a long-term impact on its institutional identity. Co-operation with French mathematicians and with Texte reçu le 10 février 2020, accepté le 27 mai 2020, révisé le 24 juillet 2020. V. R. Remmert, Interdisziplinäres Zentrum für Wissenschaftsund Technikforschung (www.izwt.de), Bergische Universität Wuppertal, Gaussstrasse 20, D42097 Wuppertal. Courrier électronique : remmert@uni-wuppertal.de 2000 Mathematics Subject Classification : 01A60, 01A74, 01A80.
这篇论文是一个更大的研究项目的一部分，该项目涉及奥伯沃尔法赫数学研究所从1944年成立到20世纪60年代初的历史。虽然人们对其建立的历史相对了解得很清楚，但(数学)历史学家几乎没有触及该研究所1945年之后的发展。第二次世界大战后，该研究所面临着双重挑战。一方面，它必须彻底改造自己，即剥离与战争有关的数学研究议程，并找到适合战后形势的新身份。另一方面，研究所没有预算，因为它完全依赖柏林的资金，随着战争的结束，柏林的资金永久停止了流动。为了理解该研究所及其所长Wilhelm s如何应对这一双重挑战，该研究所恰好位于法国占领区的后果，以及这一政治事件对战后德国数学历史的潜在影响，将是接下来的中心内容。要理解Oberwolfach研究所在20世纪40年代末和50年代初的历史，就必须将其纳入法国占领区的政治和文化背景，这对其机构身份产生了长期影响。与法国数学家合作，并与文本组织合作，于2020年5月27日，2020年6月24日，于2020年5月27日接受。V. R. Remmert, Interdisziplinäres科学技术中心 (www.izwt.de)， Bergische Universität Wuppertal, Gaussstrasse 20, D42097 Wuppertal。电子信使:remmert@uni-wuppertal.de 2000数学学科分类:01A60, 01A74, 01A80。
{"title":"Oberwolfach in the French occupation zone : 1945 to early 1950s","authors":"V. Remmert","doi":"10.24033/RHM.230","DOIUrl":"https://doi.org/10.24033/RHM.230","url":null,"abstract":"— This paper is part of a larger research project dealing with the history of the Oberwolfach Research Institute for Mathematics between its foundation in 1944 and the early 1960s. While the history of its foundation is relatively well understood, the development of the institute after 1945 has scarcely been touched on by historians (of mathematics). After World War II the challenge faced by the institute was twofold. On the one hand, it had to virtually reinvent itself, i.e. to strip itself of the agenda of war-related mathematical research and find a new identity suited for the post-war situation. On the other hand, the institute was without a budget as it had completely relied on funds from Berlin, which permanently stopped flowing with the end of the war. To understand how the institute and its director, Wilhelm Süss, dealt with this twofold challenge, the consequences of the institute coincidentally being situated in the French occupation zone, and the potential implications of this political happenstance for the history of mathematics in post-war Germany, will be centre-stage in what follows. The history of the Oberwolfach Institute in the late 1940s and early 1950s cannot be understood without embedding it into the political and cultural context of the French occupation zone, which had a long-term impact on its institutional identity. Co-operation with French mathematicians and with Texte reçu le 10 février 2020, accepté le 27 mai 2020, révisé le 24 juillet 2020. V. R. Remmert, Interdisziplinäres Zentrum für Wissenschaftsund Technikforschung (www.izwt.de), Bergische Universität Wuppertal, Gaussstrasse 20, D42097 Wuppertal. Courrier électronique : remmert@uni-wuppertal.de 2000 Mathematics Subject Classification : 01A60, 01A74, 01A80.","PeriodicalId":48984,"journal":{"name":"Revue D Histoire Des Mathematiques","volume":"67 1","pages":"121-172"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91216282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"La notion médiévale de Contractio dans l'Arithmetica integra de Michael Stifel (1544)","authors":"Sabine Rommevaux-Tani","doi":"10.24033/RHM.229","DOIUrl":"https://doi.org/10.24033/RHM.229","url":null,"abstract":"","PeriodicalId":48984,"journal":{"name":"Revue D Histoire Des Mathematiques","volume":"198 3","pages":"97-119"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72413027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-01DOI: 10.1007/978-3-642-36736-6_2
Ken Saito
{"title":"MATHEMATICAL RECONSTRUCTIONS OUT, TEXTUAL STUDIES IN: 30 YEARS IN THE HISTORIOGRAPHY OF GREEK MATHEMATICS","authors":"Ken Saito","doi":"10.1007/978-3-642-36736-6_2","DOIUrl":"https://doi.org/10.1007/978-3-642-36736-6_2","url":null,"abstract":"","PeriodicalId":48984,"journal":{"name":"Revue D Histoire Des Mathematiques","volume":"3 1","pages":"131-142"},"PeriodicalIF":0.0,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86716073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2004-01-01DOI: 10.1007/978-1-4020-2640-9_13
W. Knorr
{"title":"The Impact of Modern Mathematics on Ancient Mathematics","authors":"W. Knorr","doi":"10.1007/978-1-4020-2640-9_13","DOIUrl":"https://doi.org/10.1007/978-1-4020-2640-9_13","url":null,"abstract":"","PeriodicalId":48984,"journal":{"name":"Revue D Histoire Des Mathematiques","volume":"100 1","pages":"119-133"},"PeriodicalIF":0.0,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86952992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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