{"title":"Periodic Orbits: F. R. Moulton’s Quest for a New Lunar Theory","authors":"C. Stephenson","doi":"10.1090/hmath/045","DOIUrl":"https://doi.org/10.1090/hmath/045","url":null,"abstract":"","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"104 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88972018","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":"Editorial","authors":"Sarah Hart","doi":"10.1080/26375451.2021.1906536","DOIUrl":"https://doi.org/10.1080/26375451.2021.1906536","url":null,"abstract":"","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"36 1","pages":"65 - 66"},"PeriodicalIF":0.4,"publicationDate":"2021-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2021.1906536","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45801466","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}
Isobel Falconer, K. Parshall, C. Mulcahy, É. Barbin, Edmund Robertson, Valeria Giardino, B. Larvor, Robin J. Wilson
{"title":"BSHM Meeting News","authors":"Isobel Falconer, K. Parshall, C. Mulcahy, É. Barbin, Edmund Robertson, Valeria Giardino, B. Larvor, Robin J. Wilson","doi":"10.1080/26375451.2021.1911437","DOIUrl":"https://doi.org/10.1080/26375451.2021.1911437","url":null,"abstract":"s from past meetings Christmas meeting and AGM Saturday 5 December 2020 The meeting took place online. Recordings of all talks are available at https://www. bshm.ac.uk/christmas-meeting-2020-talks. The meeting looked forward to the BSHM’s 50th birthday in 2021. All the speakers were past Presidents who reflected on aspects of the history of ‘history of mathematics’ over the past 50 years. The keynote speaker at the end of the day was Craig Fraser, President of our sister society, the Canadian Society for the History and Philosophy of Mathematics. Robin Wilson (Open University): The BSHM: the first fifty years In this talk I shall outline the history of the BSHM from its founding in 1971 to the present day, and try to answer the following questions. Who founded it, and why? What were the early talks? Who were the main people involved in its development? Which notable events have been celebrated? How have the meetings changed over the years? To what extent have the aims of the Society been met? Steve Russ (University of Warwick): Onwards and outwards This talk will look back to the 1990s but also peer cautiously a little into a possible future. We shall focus not so much on my time as President but on two BSHM events that I (and of course others) were fortunate to initiate and that became significant series in the work and life of the Society. These were the conference on History In Mathematics Education (HIMED90) and the one-day meeting Research in Progress (from the early 1990s). In doing this we’ll draw together three themes: ‘ ... life must be understood backwards, ... but lived forwards’ (Kierkegaard); a timely reflection on the European dimension of each of those events; and the essential role of context for motivation. The last of these three will be developed briefly along three axes: the public, the personal, and the problem-oriented. Raymond Flood (Kellogg College, Oxford): John Fauvel: life, labours and legacy This talk is dedicated to the memory of my dear friend and colleague John Fauvel (1947– 2001) whose enthusiasm and support for the BSHM knew no bounds. As well as being the 50th anniversary of the Society, next year also marks 20 years since John Fauvel died. John was an energetic scholar, teacher and historian of mathematics and of particular importance to him was the use of the history of mathematics in education. As President of the BSHM and subsequently as Newsletter editor he fostered national and international collaboration and discussion. I am delighted to have the opportunity at this BSHMChristmas meeting to share with you some thoughts on John’s life, labours and legacy. 142 British Journal for the History of Mathematics","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"36 1","pages":"140 - 149"},"PeriodicalIF":0.4,"publicationDate":"2021-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2021.1911437","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44522474","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 BSHM: the first fifty years","authors":"Robin J. Wilson, R. Flood","doi":"10.1080/26375451.2021.1919462","DOIUrl":"https://doi.org/10.1080/26375451.2021.1919462","url":null,"abstract":"The British Society for the History of Mathematics (BSHM), founded in 1971 and the oldest national society for the history of mathematics, is celebrating its half-century. This article describes how and why the Society was founded, and what it has achieved over its first fifty years.","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"36 1","pages":"76 - 94"},"PeriodicalIF":0.4,"publicationDate":"2021-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2021.1919462","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47361462","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":"Peter M Neumann OBE (1940–2020)","authors":"Christopher D. Hollings","doi":"10.1080/26375451.2021.1919472","DOIUrl":"https://doi.org/10.1080/26375451.2021.1919472","url":null,"abstract":"","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"36 1","pages":"67 - 75"},"PeriodicalIF":0.4,"publicationDate":"2021-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2021.1919472","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44555662","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":"Mathematical books and Frankfurt book fair catalogues: the acquisition of mathematical works by Robert Ashley in early modern London","authors":"Renae Satterley","doi":"10.1080/26375451.2021.1891804","DOIUrl":"https://doi.org/10.1080/26375451.2021.1891804","url":null,"abstract":"Robert Ashley (1565–1641) was a bibliophile, lawyer and translator who bequeathed his collection of approximately 5,000 books to establish a library at Middle Temple, one of the four Inns of Court. The collection is notable for several reasons, not least of which is its substantial number of mathematical books and Frankfurt book fair catalogues. These books and catalogues contain marginalia in Ashley’s hand which provide insight into this early modern reader’s use of an important collection of (mostly continental) mathematical books. Despite the lack of documentary evidence by way of commonplace books or correspondence by Ashley, some conclusions can be drawn about his intentions for his collection.","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"36 1","pages":"95 - 116"},"PeriodicalIF":0.4,"publicationDate":"2021-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2021.1891804","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46811664","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":"Quantifying the Unquantifiable: the role of the mathematicisation of philosophy during the Scottish Enlightenment","authors":"N. Bailie","doi":"10.1080/26375451.2021.1880137","DOIUrl":"https://doi.org/10.1080/26375451.2021.1880137","url":null,"abstract":"The reception of Newton's Principia in 1687 led to the attempt of many European scholars to ‘mathematicise' their field of expertise. An important example of this ‘mathematicisation' lies in the work of Irish-Scottish philosopher Francis Hutcheson, a key figure in the Scottish Enlightenment. This essay aims to discuss the mathematical aspects of Hutcheson's work and its impact on British thought in the following centuries, providing a case in point for the importance of the interactions between mathematics and philosophy throughout time.","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"36 1","pages":"132 - 139"},"PeriodicalIF":0.4,"publicationDate":"2021-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2021.1880137","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43802476","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":"","doi":"10.1080/26375451.2021.1853258","DOIUrl":"https://doi.org/10.1080/26375451.2021.1853258","url":null,"abstract":"","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"36 1","pages":"59 - 63"},"PeriodicalIF":0.4,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2021.1853258","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41345446","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":"Decoding chancery records from the 1240s","authors":"N. Biggs","doi":"10.1080/26375451.2020.1834796","DOIUrl":"https://doi.org/10.1080/26375451.2020.1834796","url":null,"abstract":"The English records from the 1240s contain many references to the purchase of gold on behalf of the king, Henry III. For example, the Liberate Rolls give explicit numerical information about the amounts of gold purchased and the price paid for it. These records also contain implicit information, and this can sometimes be extracted by analysing the arithmetical procedures that were used by the king's officials. We shall see how the purity of the gold was assessed, and how the price varied in consequence. The records occasionally mention gold in the form of coins, and in such cases our method can be used to identify the type of coin involved. Since there is little evidence about the methods used to perform the calculations, we shall consider the extent to which the Hindu-Arabic methods popularized by Leonard of Pisa (Fibonacci) were being adopted in England in the thirteenth century.","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"36 1","pages":"1 - 12"},"PeriodicalIF":0.4,"publicationDate":"2020-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2020.1834796","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42259243","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":"Introducing differential calculus in Spain: The fluxion of the product and the quadrature of curves by Tomàs Cerdà","authors":"Joaquim Berenguer","doi":"10.1080/26375451.2020.1829864","DOIUrl":"https://doi.org/10.1080/26375451.2020.1829864","url":null,"abstract":"Differential calculus was introduced into eighteenth-century Spain through the teaching of several authors in different scientific institutions. One of the more noteworthy of these Spanish authors was the Jesuit Tomàs Cerdà (1715–1791), who taught mathematics at the College of Cordelles in Barcelona and at the Imperial College in Madrid. This mathematician introduced differential calculus through the manuscript entitled ‘Tratado de Fluxiones’ (1757–1759), which had as a main source The Doctrine and Application of Fluxions (1750) by Thomas Simpson (1710–1761). Our aim in this paper is to analyse Cerdà’s special contribution to the introduction into Spain of the Newtonian theory of fluxions based on Simpson’s definition of a fluxion. Specifically, the paper shows that Cerdà deduced the fluxion of the product of two variables and the area under a curve by previously establishing the fluxion of a curvilinear surface, a particular and different approach to that employed by other contemporaneous mathematicians in Spain.","PeriodicalId":36683,"journal":{"name":"British Journal for the History of Mathematics","volume":"36 1","pages":"23 - 49"},"PeriodicalIF":0.4,"publicationDate":"2020-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/26375451.2020.1829864","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43301560","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}