{"title":"From lattices via social history to theories of modernity in mathematics","authors":"Reinhard Siegmund-Schultze","doi":"10.1016/j.hm.2022.01.004","DOIUrl":"10.1016/j.hm.2022.01.004","url":null,"abstract":"","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"58 ","pages":"Pages 17-34"},"PeriodicalIF":0.5,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0315086022000040/pdfft?md5=815efdef4bcb218c5f5814a23a47255f&pid=1-s2.0-S0315086022000040-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49068239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A letter from Malevich to Semevsky about Kovalevskaya","authors":"Lene Birkeland, Rolf Nossum","doi":"10.1016/j.hm.2021.07.003","DOIUrl":"10.1016/j.hm.2021.07.003","url":null,"abstract":"<div><p>The biographical literature on Sofya Vasilyevna Kovalevskaya has to a large extent relied on her own memoirs, published in <em>Vestnik Evropy</em> only months before her death, and an autobiographical story published posthumously in <em>Russkaya Starina</em>. In this paper we present and discuss the full Russian text with English translation of a letter, previously unpublished, from Kovalevskaya's teacher in childhood and adolescence, Iosif Ignatyevich Malevich, to the editor of <em>Russkaya Starina</em>, Mikhail Ivanovich Semevsky, in which he repudiates her depreciation of his role in her schooling, criticizes her self-portrayal, and provides information about her early education which runs counter to parts of the biographical literature on Kovalevskaya.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"58 ","pages":"Pages 92-119"},"PeriodicalIF":0.5,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0315086021000641/pdfft?md5=d94a5881216d47a6cc0edfe064dbb8db&pid=1-s2.0-S0315086021000641-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46763395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quo vadis History of Ancient Mathematics who will you take with you, and who will be left behind? Essay Review prompted by a recent publication","authors":"Annette Imhausen","doi":"10.1016/j.hm.2021.03.001","DOIUrl":"10.1016/j.hm.2021.03.001","url":null,"abstract":"","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"57 ","pages":"Pages 80-93"},"PeriodicalIF":0.5,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.hm.2021.03.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48093472","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Mascheroni's La geometria del compasso at the beginning of the 19th century","authors":"Michael Friedman","doi":"10.1016/j.hm.2021.05.002","DOIUrl":"10.1016/j.hm.2021.05.002","url":null,"abstract":"<div><p>Lorenzo <span>Mascheroni</span>'s <span>1797</span> work <em>La geometria del compasso</em><span><span>, which develops a geometry based solely on compass constructions, is considered by the author as stepping back behind the “demarcation line” of Euclidean geometry. In this work Mascheroni emphasizes the practical aspects of this geometry over a theoretical approach. A century later, in 1899, </span>David Hilbert and his student Michael Feldblum proposed a totally different approach – algebraic and axiomatic – concerning geometric constructions based on various instruments. Taking into account that, at the end of the 18th century, straightedge geometry was also developed, one may ask what happened to the image of instrument-based geometry during the 19th century? By focusing on Mascheroni's book and its reception, this article aims to examine the various views and conceptions of mathematicians with respect to this geometry.</span></p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"57 ","pages":"Pages 55-79"},"PeriodicalIF":0.5,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.hm.2021.05.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45120852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Two problems in the 筭數書 Suanshu shu (Book of Mathematics): Geometric relations between circles and squares and methods for determining their mutual relations","authors":"Zhou Xulin (周序林)","doi":"10.1016/j.hm.2021.05.003","DOIUrl":"10.1016/j.hm.2021.05.003","url":null,"abstract":"<div><p>Much research has been devoted to two problems, <em>Yi yuancai fang</em> (From a circular timber [find] a square) and <em>Yi fangcai yuan</em> (From a square timber [find] a circle), both of which appear in the <em>Suanshu shu</em>, an early Han dynasty mathematical work written on bamboo slips, excavated from tomb 247 at Zhangjiashan in Hubei Province, China. In this article, the geometric relations between circles and squares and the methods for determining their mutual relations in these two problems are interpreted in a different way, and an alternative approach is offered for reconciling these two problems.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"57 ","pages":"Pages 1-23"},"PeriodicalIF":0.5,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.hm.2021.05.003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44330399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The 1804 examination for the chair of Elementary Mathematics at the University of Prague","authors":"Elías Fuentes Guillén, Davide Crippa","doi":"10.1016/j.hm.2021.07.001","DOIUrl":"10.1016/j.hm.2021.07.001","url":null,"abstract":"<div><p>In 1804 the chair of Elementary Mathematics at Prague University became vacant and a selection procedure, which consisted of a written and an oral examination, was announced. Only Bernard Bolzano and Ladislav Jandera took part in it. Jandera was appointed to the chair, whereas Bolzano became Professor of “Religious Doctrine.” In this paper we examine the context of this <em>Concursprüfung</em>, the performance of both candidates and the outcome, based on a number of related papers preserved at the Czech National Archives. In addition to this, we publish for the first time, albeit only in the online version of this paper, the transcription and English translation of Bolzano's written examination.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"57 ","pages":"Pages 24-54.e18"},"PeriodicalIF":0.5,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0315086021000422/pdfft?md5=e0aaeeb708c28dfd114c204de571644e&pid=1-s2.0-S0315086021000422-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44220172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}