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Historia Mathematica最新文献

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IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2022-08-01 DOI: 10.1016/S0315-0860(22)00064-7
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引用次数: 0
Felix Hausdorff's Collected Works – a meta-review 菲利克斯·豪斯多夫的文集-元评论
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2022-08-01 DOI: 10.1016/j.hm.2022.07.001
Reinhard Siegmund-Schultze
{"title":"Felix Hausdorff's Collected Works – a meta-review","authors":"Reinhard Siegmund-Schultze","doi":"10.1016/j.hm.2022.07.001","DOIUrl":"10.1016/j.hm.2022.07.001","url":null,"abstract":"","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"60 ","pages":"Pages 53-64"},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49263022","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
Federigo Enriques (1871-1946): A critical study of Lezioni di geometria proiettiva Federigo Enriques(1871-1946):预测几何课的批判性研究
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2022-08-01 DOI: 10.1016/j.hm.2022.03.001
M.G. Lugaresi , C. D'Alterio
{"title":"Federigo Enriques (1871-1946): A critical study of Lezioni di geometria proiettiva","authors":"M.G. Lugaresi ,&nbsp;C. D'Alterio","doi":"10.1016/j.hm.2022.03.001","DOIUrl":"10.1016/j.hm.2022.03.001","url":null,"abstract":"<div><p>Federigo Enriques (1871-1946) was a protagonist of mathematical culture in the early twentieth century. The handbook prepared for one of his university courses at the University of Bologna, <em>Lezioni di geometria proiettiva</em><span>, constitutes probably the most representative work of his early teaching years. This book has influenced several Enriques' researches, and in particular those relating to the foundations of geometry. The use of the synthetic approach in setting up the handbook leads Enriques to a new arrangement of the contents. The proposed analysis explores this aspect, showing in particular the law of duality, the postulate of continuity and the fundamental theorem of projectivity, without neglecting the importance that Enriques attributes to the historical developments of mathematics.</span></p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"60 ","pages":"Pages 15-52"},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44601723","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
Modern light on ancient feud: Robert Hooke and Newton's graphical method 古代恩怨的现代阐释:罗伯特·胡克和牛顿的图解方法
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2022-08-01 DOI: 10.1016/j.hm.2021.11.002
Siu A. Chin
{"title":"Modern light on ancient feud: Robert Hooke and Newton's graphical method","authors":"Siu A. Chin","doi":"10.1016/j.hm.2021.11.002","DOIUrl":"10.1016/j.hm.2021.11.002","url":null,"abstract":"<div><p><span><span>The feud between Robert Hooke and Isaac Newton, over whether Newton should have acknowledged Hooke's influence on his graphical method of constructing planet orbits, the celebrated </span>Proposition 1, Theorem 1 of the </span><span><em>Principia</em></span><span>, has remained ongoing among their respective supporters, even after 300 years. The drama has escalated in recent decades, with a claim that Hooke may have used the same method and obtained an elliptical orbit for a linear force, a feat that some considered Newton never did for the inverse-square force. Modern understanding of Newton's graphical method as a symplectic integrator can now shed light on whether this claim is creditable.</span></p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"60 ","pages":"Pages 1-14"},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42260091","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
书评
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2022-08-01 DOI: 10.1016/j.hm.2022.02.001
Maarten Bullynck
{"title":"","authors":"Maarten Bullynck","doi":"10.1016/j.hm.2022.02.001","DOIUrl":"10.1016/j.hm.2022.02.001","url":null,"abstract":"","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"60 ","pages":"Pages 64-66"},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47794241","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
书评
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2022-08-01 DOI: 10.1016/j.hm.2021.11.001
Jeanne Peiffer
{"title":"","authors":"Jeanne Peiffer","doi":"10.1016/j.hm.2021.11.001","DOIUrl":"10.1016/j.hm.2021.11.001","url":null,"abstract":"","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"60 ","pages":"Pages 66-68"},"PeriodicalIF":0.5,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41815556","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
On the history of units in French elementary school arithmetic: The case of proportionality 论法国小学算术中单位的历史:以比例为例
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2022-05-01 DOI: 10.1016/j.hm.2021.04.003
Christine Chambris , Jana Visnovska
{"title":"On the history of units in French elementary school arithmetic: The case of proportionality","authors":"Christine Chambris ,&nbsp;Jana Visnovska","doi":"10.1016/j.hm.2021.04.003","DOIUrl":"10.1016/j.hm.2021.04.003","url":null,"abstract":"<div><p>The measurement of magnitudes was at the foundation of numbers and calculation in academic mathematics until the 19th century. It provided units and the concrete and abstract numbers that formed the basis of school arithmetic up to the mid-20th century in France. Our analysis of changes in teaching resources for proportionality (late 19th to the early 21st century) documents how the disappearance of magnitudes in academic knowledge was followed by the loss of the differentiation of the conceptual complexity of mathematical ideas related to proportionality. These changes made teaching and learning about proportionality considerably more difficult, and we later witness their gradual, but not yet systematic, reversal.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"59 ","pages":"Pages 99-118"},"PeriodicalIF":0.5,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42148964","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: 3
Measuring crops with the šukunnûm-number 用šukunnûm数测量作物
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2022-05-01 DOI: 10.1016/j.hm.2020.06.005
Baptiste Fiette
{"title":"Measuring crops with the šukunnûm-number","authors":"Baptiste Fiette","doi":"10.1016/j.hm.2020.06.005","DOIUrl":"10.1016/j.hm.2020.06.005","url":null,"abstract":"<div><p>Šamaš-hazir was the manager of the royal domain of Hammu-rabi, king of Babylon (1792-1750 BC), in southern Mesopotamia. Harvest registers and yield tables found in his archives take the form of tabular accounts in which an estimated yield rate is expressed by a number called <em>šukunnûm</em>. Although the <em>šukunnûm</em>-number is used to keep accounts of barley yield rates, it is never associated with a specific unit of measurement. In order to define the elaboration and the nature of the <em>šukunnûm</em>-number, this article will analyze its relation to surface and capacity units and its function in crop measurements.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"59 ","pages":"Pages 71-98"},"PeriodicalIF":0.5,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.hm.2020.06.005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42438097","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
Introduction – A critical approach to the opposition between “concrete” and “abstract” numbers 引言——对“具体”数字和“抽象”数字对立的批判方法
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2022-05-01 DOI: 10.1016/j.hm.2022.05.001
Christine Proust, Eric Vandendriessche
{"title":"Introduction – A critical approach to the opposition between “concrete” and “abstract” numbers","authors":"Christine Proust,&nbsp;Eric Vandendriessche","doi":"10.1016/j.hm.2022.05.001","DOIUrl":"10.1016/j.hm.2022.05.001","url":null,"abstract":"","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"59 ","pages":"Pages 3-11"},"PeriodicalIF":0.5,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46739621","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
“Complex numbers” and the problem of multiplication between quantities “复数”和数量之间的乘法问题
IF 0.5 3区 哲学
Historia Mathematica Pub Date : 2022-05-01 DOI: 10.1016/j.hm.2020.07.001
Débora Ferreira , Gert Schubring
{"title":"“Complex numbers” and the problem of multiplication between quantities","authors":"Débora Ferreira ,&nbsp;Gert Schubring","doi":"10.1016/j.hm.2020.07.001","DOIUrl":"10.1016/j.hm.2020.07.001","url":null,"abstract":"<div><p>This paper presents an analysis of a hitherto barely known conceptual problem in the foundations of arithmetic. An unknown type of number, so-called complex numbers, first emerged in 18th century France and became connected with the claim of non-commutativity of their multiplication. These first French practitioners are here analysed, along with examination of the impact of the introduction of the metric decimal system. International dissemination of the notion is then analysed, in particular in the case of Brazil. The paper concludes by looking at the mathematical foundations of multiplying (physical) quantities.</p></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"59 ","pages":"Pages 119-145"},"PeriodicalIF":0.5,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.hm.2020.07.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42331581","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
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