British Journal for the History of Mathematics最新文献

{"title":"Heavenly numbers. Astronomy and authority in early imperial China","authors":"J. Dauben","doi":"10.1080/26375451.2020.1780837","DOIUrl":"https://doi.org/10.1080/26375451.2020.1780837","url":null,"abstract":"As Christopher Cullen explains in his preface to Heavenly Numbers, this book offers an introductory history of mathematical astronomy in China from the late third century BCE when China was unified...","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"35 1","pages":"247 - 251"},"PeriodicalIF":0.4,"publicationDate":"2020-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2020.1780837","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41711818","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Women who count: Honoring African American women mathematicians","authors":"Kathleen M. Clark","doi":"10.1080/26375451.2020.1778282","DOIUrl":"https://doi.org/10.1080/26375451.2020.1778282","url":null,"abstract":"","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"35 1","pages":"253 - 255"},"PeriodicalIF":0.4,"publicationDate":"2020-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2020.1778282","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41910101","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Pythagoras’ legacy","authors":"Tony Crilly","doi":"10.1080/26375451.2020.1765504","DOIUrl":"https://doi.org/10.1080/26375451.2020.1765504","url":null,"abstract":"","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"35 1","pages":"246 - 247"},"PeriodicalIF":0.4,"publicationDate":"2020-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2020.1765504","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43768971","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Continuity between Cauchy and Bolzano: issues of antecedents and priority","authors":"J. Bair, Piotr Błaszczyk, Elías Fuentes Guillén, P. Heinig, V. Kanovei, M. Katz","doi":"10.1080/26375451.2020.1770015","DOIUrl":"https://doi.org/10.1080/26375451.2020.1770015","url":null,"abstract":"In a paper published in 1970, Grattan-Guinness argued that Cauchy, in his 1821 Cours d'Analyse, may have plagiarized Bolzano's Rein analytischer Beweis (RB), first published in 1817. That paper was subsequently discredited in several works, but some of its assumptions still prevail today. In particular, it is usually considered that Cauchy did not develop his notion of the continuity of a function before Bolzano developed his in RB and that both notions are essentially the same. We argue that both assumptions are incorrect, and that it is implausible that Cauchy's initial insight into that notion, which eventually evolved to an approach using infinitesimals, could have been borrowed from Bolzano's work. Furthermore, we account for Bolzano's interest in that notion and focus on his discussion of a definition by Kästner (in Section 183 of his 1766 book), which the former seems to have misrepresented at least partially.","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"35 1","pages":"207 - 224"},"PeriodicalIF":0.4,"publicationDate":"2020-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2020.1770015","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46109628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Jacob Bernoulli's analyses of the Funicularia problem","authors":"Sepideh Alassi","doi":"10.1080/26375451.2020.1741302","DOIUrl":"https://doi.org/10.1080/26375451.2020.1741302","url":null,"abstract":"Jacob Bernoulli's entries about mechanics in his scientific notebook, the ‘Meditationes’, reveal new facts about the history of the catenary curve. Bernoulli's analyses show that the catenaria, velaria, lintearia and elastica curves together form a family of curves, which I will refer to as the funicularia family. Attending to the history of the whole family of these curves provides remarkable insights into the origin of the catenary problem and the process of its discovery. Studying the ‘Meditationes’ together with Bernoulli's correspondence and publications shows how analysis of one curve led him to the discovery of the others. As a result, this study shows that – although Leonhard Euler is known to be the one who unified the catenary problem and the elastica problem in 1728 – Jacob Bernoulli had in fact proven the same more than thirty years earlier, providing in his notebook a general differential equation for this family of curves. Furthermore, I demonstrate Jacob Bernoulli's priority over his brother Johann in finding the velaria curve.","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"35 1","pages":"137 - 161"},"PeriodicalIF":0.4,"publicationDate":"2020-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2020.1741302","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41596010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Winner of the 2018–19 Taylor and Francis Early Career Prize","authors":"Ellen Abrams","doi":"10.1080/26375451.2020.1745495","DOIUrl":"https://doi.org/10.1080/26375451.2020.1745495","url":null,"abstract":"The BSHM is delighted to announce that the 2018–19 Taylor and Francis Early Career Prize has been awarded to Ellen Abrams of Cornell University for her essay ‘“An Inalienable Prerogative of a Liberated Spirit”: Postulating American Mathematics.’ The judging panel commended the essay for its combination of strong research and accessible style, noting in particular the author’s ability to contextualise mathematics without loss of readability. British Journal for the History of Mathematics, 2020 Vol. 35, No. 2, 187, https://doi.org/10.1080/26375451.2020.1745495","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"35 1","pages":"187 - 187"},"PeriodicalIF":0.4,"publicationDate":"2020-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2020.1745495","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47623632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Professor Alexander (Alex) D. D. Craik: 1938–2019","authors":"Isobel Falconer","doi":"10.1080/26375451.2020.1745493","DOIUrl":"https://doi.org/10.1080/26375451.2020.1745493","url":null,"abstract":"","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"35 1","pages":"178 - 179"},"PeriodicalIF":0.4,"publicationDate":"2020-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2020.1745493","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43007008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"BSHM Meeting News","authors":"Isobel Falconer","doi":"10.1080/26375451.2020.1745494","DOIUrl":"https://doi.org/10.1080/26375451.2020.1745494","url":null,"abstract":"s from past meetings BSHM Christmas Meeting Saturday 7 December 2019 University of Warwick Firstly, very many apologies for omitting Robin Wilson’s abstract from the report of the Christmas Meeting in the last issue of the BJHM. Robin very nobly stood in at short notice for a speaker who dropped out, and we are grateful to him for doing so. The missing abstract follows. Robin Wilson (Open University): Hunting and counting trees: the world of Cayley and Sylvester Where did the word ‘graph’ (in connection with graph theory) come from? How many paraffins are there with a given number of carbon atoms? In this illustrated talk I shall outline some contributions of Arthur Cayley and James Joseph Sylvester, with particular reference to the enumeration of trees and chemical molecules between the years 1857 and 1889. No previous knowledge of graph theory is assumed. Research in Progress Saturday 29 February 2020 Queens College, Oxford Brigitte Stenhouse (Open University) Conjuring the ‘Spirit of Laplace’: the analytical works of Mary Somerville (1780–1872) In the early nineteenth century, the need to increase the acceptance and utilization of analytical mathematics in Great Britain was keenly felt by a group of mathematicians, who saw it as a remedy to the perceived decline of British science. Thus in 1826, Mary Somerville began preparing what was intended to be a translation of Pierre-Simon Laplace’s Mécanique Céleste (printed in five volumes between 1799–1825). Published in 1831 under the title Mechanism of the Heavens, this work was received with great critical acclaim. There are, however, many key differences between the work of Somerville and that of Laplace. During the translation process, Somerville focused on preserving ‘the spirit of Laplace’ whilst making it both accessible and palatable to a British readership, through introducing diagrams and ideas of the sublime. Somerville treated but a small subset of the results found in the original work, but expanded and updated many sections by embedding relevant ideas from recent publications, all of which were notably developed outside of Britain. Whilst the work was thus described as ‘the most complete account of the discoveries of continental mathematicians in physical astronomy which exists in [English]’ (Monthly Notices of the Royal Astronomical Society), it appears to have been commercially unsuccessful. Somerville’s second attempt at encouraging the study and adoption Volume 35 (2020) 181","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"35 1","pages":"180 - 186"},"PeriodicalIF":0.4,"publicationDate":"2020-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2020.1745494","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42389054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The Italian case: Mathematics as a victim of\u0000 world politics","authors":"","doi":"10.1090/hmath/044/05","DOIUrl":"https://doi.org/10.1090/hmath/044/05","url":null,"abstract":"","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"144 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78680316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Leitzmann’s unpublished report on the\u0000 Congress","authors":"","doi":"10.1090/hmath/044/15","DOIUrl":"https://doi.org/10.1090/hmath/044/15","url":null,"abstract":"","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"8 2 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85283980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}