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Historia Mathematica最新文献

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On Mascheroni's La geometria del compasso at the beginning of the 19th century 论19世纪初马斯切罗尼的《圆规几何》
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2021-11-01 DOI: 10.1016/j.hm.2021.05.002
Michael Friedman
{"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}
引用次数: 1
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 中的两个问题筭數書 《算术书》：圆与正方形的几何关系及其相互关系的确定方法
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2021-11-01 DOI: 10.1016/j.hm.2021.05.003
Zhou Xulin (周序林)
{"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}
引用次数: 0
The 1804 examination for the chair of Elementary Mathematics at the University of Prague 1804年布拉格大学初等数学教授的考试
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2021-11-01 DOI: 10.1016/j.hm.2021.07.001
Elías Fuentes Guillén, Davide Crippa
{"title":"The 1804 examination for the chair of Elementary Mathematics at the University of Prague","authors":"Elías Fuentes Guillén,&nbsp;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}
引用次数: 2
Notes on contributors 贡献者说明
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2021-08-01 DOI: 10.1016/S0315-0860(21)00059-8
{"title":"Notes on contributors","authors":"","doi":"10.1016/S0315-0860(21)00059-8","DOIUrl":"https://doi.org/10.1016/S0315-0860(21)00059-8","url":null,"abstract":"","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"56 ","pages":"Page 107"},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0315-0860(21)00059-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136898069","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}
引用次数: 0
Awarding the Montucla Prize for 2021 颁发2021年蒙图拉奖
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2021-08-01 DOI: 10.1016/j.hm.2021.08.002
{"title":"Awarding the Montucla Prize for 2021","authors":"","doi":"10.1016/j.hm.2021.08.002","DOIUrl":"10.1016/j.hm.2021.08.002","url":null,"abstract":"","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"56 ","pages":"Pages 4-5"},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.hm.2021.08.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48337034","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}
引用次数: 0
Awarding of the May Prizes for 2021 颁发2021年5月奖项
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2021-08-01 DOI: 10.1016/j.hm.2021.08.001
June Barrow-Green (Chair of the Executive Committee of the ICHM 2017–2021)
{"title":"Awarding of the May Prizes for 2021","authors":"June Barrow-Green (Chair of the Executive Committee of the ICHM 2017–2021)","doi":"10.1016/j.hm.2021.08.001","DOIUrl":"10.1016/j.hm.2021.08.001","url":null,"abstract":"","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"56 ","pages":"Pages 1-3"},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.hm.2021.08.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43700768","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}
引用次数: 0
The chords theorem recalled to life at the turn of the eighteenth century 和弦定理在十八世纪之交复活了
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2021-08-01 DOI: 10.1016/j.hm.2021.03.002
Andrea Del Centina, Alessandra Fiocca
{"title":"The chords theorem recalled to life at the turn of the eighteenth century","authors":"Andrea Del Centina,&nbsp;Alessandra Fiocca","doi":"10.1016/j.hm.2021.03.002","DOIUrl":"10.1016/j.hm.2021.03.002","url":null,"abstract":"<div><p>This paper is a historical account of the chords theorem, for conic sections from Apollonius to Boscovich. We comment the most significant proofs and applications, focusing on Newton's solution of the Pappus four lines problem. Newton's geometrical achievements drew L'Hospital's attention to the chords theorem as a fundamental one, and led him to search for a simple and direct proof, that he finally obtained by the method of projection. Stirling gave a very elegant algebraic proof; then Boscovich succeeded in finding an almost immediate geometrical proof, and showed how to develop the elements of conic sections starting from this theorem.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"56 ","pages":"Pages 6-39"},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.hm.2021.03.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43318826","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}
引用次数: 4
On Francesco G. Tricomi's heritage: Archive and miscellany 论弗朗西斯科·g·特里科米的遗产:档案与杂记
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2021-08-01 DOI: 10.1016/j.hm.2021.05.001
Erika Luciano
{"title":"On Francesco G. Tricomi's heritage: Archive and miscellany","authors":"Erika Luciano","doi":"10.1016/j.hm.2021.05.001","DOIUrl":"10.1016/j.hm.2021.05.001","url":null,"abstract":"<div><p>After providing a summarised biographical and scientific profile of F.G. Tricomi, we describe the structure and contents of his archive and miscellany, which jointly represent a documentary heritage of great historical importance, as well as one of the major patrimonies of the Department of Mathematics ‘G. Peano’ at the University of Turin.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"56 ","pages":"Pages 73-84"},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.hm.2021.05.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42990627","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}
引用次数: 1
Ways of counting in Micronesia 密克罗尼西亚的计数方法
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2021-08-01 DOI: 10.1016/j.hm.2021.04.002
Andrea Bender, Sieghard Beller
{"title":"Ways of counting in Micronesia","authors":"Andrea Bender,&nbsp;Sieghard Beller","doi":"10.1016/j.hm.2021.04.002","DOIUrl":"10.1016/j.hm.2021.04.002","url":null,"abstract":"<div><p>In many languages in Micronesia, clever ways of extending their counting systems to numbers far beyond imagination were developed in precolonial times. Here, we provide an exhaustive overview of these systems, highlight their characteristics, and account for some of their most intriguing features. Based on a critical assessment of the available data and the in-depth analysis of both paradigmatic cases and peculiarities, we draw inferences about some more general patterns that suggest a rather long tradition of specific ways of counting both in Micronesia and the area beyond.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"56 ","pages":"Pages 40-72"},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.hm.2021.04.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47023403","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}
引用次数: 1
The Edinburgh Mathematical Laboratory and Edmund Taylor Whittaker's role in the early development of numerical analysis in Britain 爱丁堡数学实验室和埃德蒙·泰勒·惠特克在英国数值分析早期发展中的作用
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2021-05-01 DOI: 10.1016/j.hm.2020.09.002
Alison Maidment
{"title":"The Edinburgh Mathematical Laboratory and Edmund Taylor Whittaker's role in the early development of numerical analysis in Britain","authors":"Alison Maidment","doi":"10.1016/j.hm.2020.09.002","DOIUrl":"10.1016/j.hm.2020.09.002","url":null,"abstract":"<div><p>In 1912, Edmund Taylor Whittaker (1873–1956) was appointed to the Chair of Mathematics at the University of Edinburgh. The following year he opened the Edinburgh Mathematical Laboratory. The purpose of the Laboratory was practical instruction in topics which are now classed together as numerical analysis.</p><p>In this article I explore the inspiration, purpose, and impact of the Laboratory in the context of early 20th century British applied mathematics.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"55 ","pages":"Pages 39-63"},"PeriodicalIF":0.5,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.hm.2020.09.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45089162","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}
引用次数: 1
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