BSHM Bulletin: Journal of the British Society for the History of Mathematics最新文献

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Exploring the lunes of Hippocrates in a dynamic geometry environment 在动态几何环境中探索希波克拉底的月牙
BSHM Bulletin: Journal of the British Society for the History of Mathematics Pub Date : 2016-04-11 DOI: 10.1080/17498430.2015.1122301
Günhan Caglayan
{"title":"Exploring the lunes of Hippocrates in a dynamic geometry environment","authors":"Günhan Caglayan","doi":"10.1080/17498430.2015.1122301","DOIUrl":"https://doi.org/10.1080/17498430.2015.1122301","url":null,"abstract":"These classroom notes offer methods of solving the quadrature of lunes, that is, the area of croissant-shaped plane figures bounded by two intersecting non-congruent circular arcs, using Hippocrates of Chios’ area conservation and similarity arguments. I also offer a method of using history in the classroom with students via dynamic geometry snapshots presented in a manner that complements the analytic and the visual approaches.","PeriodicalId":211442,"journal":{"name":"BSHM Bulletin: Journal of the British Society for the History of Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128166062","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}
引用次数: 3
Two beginnings of geometry and folding: Hermann Wiener and Sundara Row 几何和折叠的两个开端:Hermann Wiener和Sundara Row
BSHM Bulletin: Journal of the British Society for the History of Mathematics Pub Date : 2016-01-02 DOI: 10.1080/17498430.2015.1045700
M. Friedman
{"title":"Two beginnings of geometry and folding: Hermann Wiener and Sundara Row","authors":"M. Friedman","doi":"10.1080/17498430.2015.1045700","DOIUrl":"https://doi.org/10.1080/17498430.2015.1045700","url":null,"abstract":"In this paper we examine two mathematicians who published manuscripts on geometry and origami in the same year, 1893: Hermann Wiener and Sundara Row. The main question that concerns us is to situate these works in the correct historical and mathematical background. We suggest that Wiener and Row offer us, via folding a piece of paper, a new conception of geometry that is very different to the common conception at the time.","PeriodicalId":211442,"journal":{"name":"BSHM Bulletin: Journal of the British Society for the History of Mathematics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132064383","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}
引用次数: 6
A note on some recent mathematical histories/A curious history of mathematics, by Joel Levy/The universe in zero words, by Dana Mackenzie/17 equations that changed the world, by Ian Stewart/Maths in 100 key breakthroughs, by Richard Elwes 关于一些最近的数学历史的注释/数学的奇妙历史,乔尔·利维/宇宙零字,达纳·麦肯齐/17个方程改变了世界,伊恩·斯图尔特/数学的100个关键突破,理查德·埃尔维斯
BSHM Bulletin: Journal of the British Society for the History of Mathematics Pub Date : 2016-01-02 DOI: 10.1080/17498430.2015.1080442
Stephanie Crampin
{"title":"A note on some recent mathematical histories/A curious history of mathematics, by Joel Levy/The universe in zero words, by Dana Mackenzie/17 equations that changed the world, by Ian Stewart/Maths in 100 key breakthroughs, by Richard Elwes","authors":"Stephanie Crampin","doi":"10.1080/17498430.2015.1080442","DOIUrl":"https://doi.org/10.1080/17498430.2015.1080442","url":null,"abstract":"(2nd edition, 2004). Derbyshire, John, Unknown quantity: A real and imaginary history of algebra, Washington: Joseph Henry Press, 2006. Gray, Jeremy J, and Parshall, Karen Hunger (eds), Episodes in the history of modern algebra (180","PeriodicalId":211442,"journal":{"name":"BSHM Bulletin: Journal of the British Society for the History of Mathematics","volume":"124 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115090556","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}
引用次数: 0
Robert Leslie Ellis, William Whewell and Kant: the role of Rev H F C Logan 罗伯特·莱斯利·埃利斯,威廉·休威尔和康德:H·F·C·罗根牧师的角色
BSHM Bulletin: Journal of the British Society for the History of Mathematics Pub Date : 2016-01-02 DOI: 10.1080/17498430.2015.1035582
L. Verburgt
{"title":"Robert Leslie Ellis, William Whewell and Kant: the role of Rev H F C Logan","authors":"L. Verburgt","doi":"10.1080/17498430.2015.1035582","DOIUrl":"https://doi.org/10.1080/17498430.2015.1035582","url":null,"abstract":"Reverend H F C Logan is put forward as the formerly unidentified figure to which Robert Leslie Ellis referred in a journal entry of 1840 in which he wrote that it was due to his influence that William Whewell came to uphold particular Kantian views on time and space. The historical evidence of Ellis’s early familiarity with, and later commitment to Kant is noteworthy for at least two reasons. Firstly, it puts into doubt the accepted view of the second generation of reformers of British algebra as non-philosophical, practice-oriented mathematicians. Secondly, in so far as Logan was the correspondent of William Rowan Hamilton, it re-emphasizes that the role of Kantianism in the transition from ‘symbolical’ to ‘abstract’ algebra in nineteenth-century British algebra requires closer scrutiny.","PeriodicalId":211442,"journal":{"name":"BSHM Bulletin: Journal of the British Society for the History of Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124291725","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}
引用次数: 2
A tale of mathematical myth-making: E T Bell and the ‘arithmetization of algebra’† 一个制造数学神话的故事:贝尔和“代数的算术化”†
BSHM Bulletin: Journal of the British Society for the History of Mathematics Pub Date : 2016-01-02 DOI: 10.1080/17498430.2015.1048640
Christopher D. Hollings
{"title":"A tale of mathematical myth-making: E T Bell and the ‘arithmetization of algebra’†","authors":"Christopher D. Hollings","doi":"10.1080/17498430.2015.1048640","DOIUrl":"https://doi.org/10.1080/17498430.2015.1048640","url":null,"abstract":"Throughout E T Bell’s writings on mathematics, both those aimed at other mathematicians and those for a popular audience, we find him endeavouring to promote abstract algebra generally, and the postulational method in particular. Bell evidently felt that the adoption of the latter approach to algebra (a process that he termed the ‘arithmetization of algebra’) would lend the subject something akin to the level of rigour that analysis had achieved in the nineteenth century. However, despite promoting this point of view, it is not so much in evidence in Bell’s own mathematical work. I offer an explanation for this apparent contradiction in terms of Bell’s infamous penchant for mathematical ‘myth-making’.","PeriodicalId":211442,"journal":{"name":"BSHM Bulletin: Journal of the British Society for the History of Mathematics","volume":"154 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126546252","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}
引用次数: 2
Theodorus’ proofs of incommensurabilities with Gnomons 狄奥多罗斯用悟性证明不可通约性
BSHM Bulletin: Journal of the British Society for the History of Mathematics Pub Date : 2016-01-02 DOI: 10.1080/17498430.2015.1055156
S. Negrepontis, G. Tassopoulos
{"title":"Theodorus’ proofs of incommensurabilities with Gnomons","authors":"S. Negrepontis, G. Tassopoulos","doi":"10.1080/17498430.2015.1055156","DOIUrl":"https://doi.org/10.1080/17498430.2015.1055156","url":null,"abstract":"An ‘infinite decreasing sequence of Gnomons’ is characteristic, according to Proclus, of incommensurability, hence David Fowler's idea to reconstruct Theodorus’ proofs of incommensurabilities, reported in the Theaetetus147d, employing Gnomons, is attractive and solidly based. The ‘preservation of the shape of the Gnomons’ is a form of the Pythagorean principle of the Limited according to Aristotle. In the present paper we propose a reconstruction that employs Gnomons but is free of the drawbacks present in Fowler's reconstruction.","PeriodicalId":211442,"journal":{"name":"BSHM Bulletin: Journal of the British Society for the History of Mathematics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134351734","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}
引用次数: 0
Robert Patterson: American ‘revolutionary’ mathematician 罗伯特·帕特森:美国“革命”数学家
BSHM Bulletin: Journal of the British Society for the History of Mathematics Pub Date : 2016-01-02 DOI: 10.1080/17498430.2015.1035588
Richard Decesare
{"title":"Robert Patterson: American ‘revolutionary’ mathematician","authors":"Richard Decesare","doi":"10.1080/17498430.2015.1035588","DOIUrl":"https://doi.org/10.1080/17498430.2015.1035588","url":null,"abstract":"You will not see Robert Patterson’s name mentioned in many mathematics books. While his mathematical works survive, his name is more likely to appear in American history books dealing with the Colonial period, given his associations with the most influential men of that time. In this article, we will examine his mathematical work, as well as his contributions to a newly-formed nation. Most of what we know about Robert Patterson’s ancestors and life is due to his grandson, William Ewing DuBois, who wrote a family history in 1847. For other information, I have drawn upon diaries and a great many letters. All spelling and syntax are copied exactly as they appear.","PeriodicalId":211442,"journal":{"name":"BSHM Bulletin: Journal of the British Society for the History of Mathematics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124966481","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}
引用次数: 0
Taming the unknown: a history of algebra from antiquity to the early twentieth century, by Victor J Katz and Karen Hunger Parshall 《驯服未知:从古代到二十世纪初的代数史》,作者:Victor J Katz和Karen Hunger Parshall
BSHM Bulletin: Journal of the British Society for the History of Mathematics Pub Date : 2016-01-02 DOI: 10.1080/17498430.2015.1080441
A. Rice
{"title":"Taming the unknown: a history of algebra from antiquity to the early twentieth century, by Victor J Katz and Karen Hunger Parshall","authors":"A. Rice","doi":"10.1080/17498430.2015.1080441","DOIUrl":"https://doi.org/10.1080/17498430.2015.1080441","url":null,"abstract":"","PeriodicalId":211442,"journal":{"name":"BSHM Bulletin: Journal of the British Society for the History of Mathematics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133378794","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}
引用次数: 0
Commutativity and collinearity: a historical case study of the interconnection of mathematical ideas. Part I 交换性与共线性:数学思想相互联系的历史案例研究。第一部分
BSHM Bulletin: Journal of the British Society for the History of Mathematics Pub Date : 2016-01-02 DOI: 10.1080/17498430.2015.1046037
A. Rice, Ezra Brown
{"title":"Commutativity and collinearity: a historical case study of the interconnection of mathematical ideas. Part I","authors":"A. Rice, Ezra Brown","doi":"10.1080/17498430.2015.1046037","DOIUrl":"https://doi.org/10.1080/17498430.2015.1046037","url":null,"abstract":"This two-part paper investigates the discovery of an intriguing and fundamental connection between the famous but apparently unrelated mathematical work of two late third-century mathematicians, a link that went unnoticed for well over 1500 years. In this, the first installment of the paper, we examine the initial chain of mathematical events that would ultimately lead to the discovery of this remarkable link between two seemingly distinct areas of mathematics, encompassing contributions by a variety of mathematicians, from the most distinguished to the relatively unknown.","PeriodicalId":211442,"journal":{"name":"BSHM Bulletin: Journal of the British Society for the History of Mathematics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128196136","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}
引用次数: 3
BSHM-LMS De Morgan Day BSHM-LMS De Morgan Day
BSHM Bulletin: Journal of the British Society for the History of Mathematics Pub Date : 2015-09-02 DOI: 10.1080/17498430.2015.1055089
T. Crilly
{"title":"BSHM-LMS De Morgan Day","authors":"T. Crilly","doi":"10.1080/17498430.2015.1055089","DOIUrl":"https://doi.org/10.1080/17498430.2015.1055089","url":null,"abstract":"T he BSHM was co-sponsor of this De Morgan meeting commemorating the 150th anniversary of the setting up of the London Mathematical Society (LMS). Augustus De Morgan was its first president, the society inspired by students A C Ranyard and George De Morgan, the ‘mathematical son’ of Augustus. The meeting began with a welcome from the two current presidents, Terry Lyons (for the LMS) and Philip Beeley (for the BSHM). It was fitting that the De Morgan meeting took place in ‘his’ building, located not more than half a mile from the place where the inaugural meeting took place, the meeting at which he presided. We were reminded of the traditions of the society when two participants signed the LMS book and formally became members. Following an overview of De Morgan’s life, we were treated to lectures on aspects of his life in mathematics and logic. He was a great letter writer, and there were talks on his correspondence with George Boole and Ada Lovelace, and lectures on his role in setting up the LMS, his writing of the Budget of Paradoxes and his influence on modern thought. As an introduction, Adrian Rice spoke on De Morgan’s life and work. As he noted De Morgan is perhaps best remembered for the laws that bear his name: the famous De Morgan laws linking union, intersection, and complement of sets, the laws which appear in just about all modern textbooks. That De Morgan was the first discoverer of these is open to historical dispute, and given this tenuous link, what else should De Morgan be remembered for? In recent decades, research has shed light on forgotten aspects of his life and associations giving us a more complete picture of the range and diversity of his mathematical activities, and not least his personality. He always insisted on being De Morgan (and not de Morgan), declined membership of the Royal Society, and, in an age when the Anglican Church was all powerful, described himself as a ‘Christian unattached’. As the meeting progressed De Morgan emerged as a man of singular character. The lecture by Chris Hollings delved into De Morgan’s correspondence with Ada King, Countess of Lovelace, the daughter of Lord Byron. Previous readings of this correspondence, in which De Morgan adopted the role of teacher, have resulted in wildly differing assessments of her mathematical abilities. Here it was argued that she lay somewhere around half-way between the extremes of ‘hopeless’ and ‘mathematical genius.’ Of De Morgan’s publications on general mathematics, his Budget of Paradoxes was best known in his day, and it is still a good read. It was a natural outgrowth of his book reviews published in the weekly London-based literary magazine, The Athenæum. Sloan Despeaux’s talk included sample episodes associated with the amateurs and cranks of Victorian England bound together for all to enjoy. Top of the pile must be James Smith, a Liverpool merchant and Arch-Paradoxer, the king of the circle-squarers. He spent much of his retirement insisting that t","PeriodicalId":211442,"journal":{"name":"BSHM Bulletin: Journal of the British Society for the History of Mathematics","volume":"104 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124071066","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}
引用次数: 0
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