Titlebook: Research in History and Philosophy of Mathematics; The CSHPM 2015 Annua Maria Zack,Elaine Landry Conference proceedings 2016 Springer Inter

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The Need for a Revision of the Prehistory of Arithmetic and its Relevance to School Mathematics,n 1617 and John Leslie in 1817, we show that the technology already available for millennia was sufficient to carry out very complex computations enabling advanced arithmetic to develop. We also discuss the possible use of this technology in modern classrooms.

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The Correspondence of William Burnside, of his known correspondence as a whole provides no clear indications, but the discovery of further letters from him would offer support to the revised view. Although there appears to have been no direct correspondence between Burnside and Frobenius, there is evidence that they did once address each other indirectly.

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,The Latin Translation of Euclid’s , attributed to Adelard of Bath: Relation to the Arabic transmissnsmission. This Latin version has traditionally been claimed to have been based on the Arabic version attributed to the work of al-Ḥajjāj b. Yūsuf b. Maṭar. The modern editor of the Latin text reached this conclusion based on several lines of evidence then known, such as reports included in the text

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,The Arc Rampant in 1673: Abraham Bosse, François Blondel, Philippe de la Hire, and conic sections,- 1686) addressed the construction of an arc rampant; he included, perhaps for the first time in print, justification of Pappus’s . VIII .14. Independently, Philippe de la Hire (1640 - 1718) took up the problem in a short work of 1672, and incorporated it into works of projective geometry of 1673 an

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The Need for a Revision of the Prehistory of Arithmetic and its Relevance to School Mathematics,tellectually inferior to modern humans, and therefore they could develop only very primitive mathematical concepts. Based on the work of John Napier in 1617 and John Leslie in 1817, we show that the technology already available for millennia was sufficient to carry out very complex computations enab

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,Bolzano’s measurable numbers: are they real?,nal section of his work he described what he called ‘infinite number expressions’ and ‘measurable numbers’. This work was evidently an attempt to provide an improved proof of the sufficiency of the criterion usually known as the ‘Cauchy criterion’ for the convergence of an infinite sequence. Bolzano

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Finding the roots of a non-linear equation: history and reliability,century history of the fixed point and the bisection methods of root finding. We present the linear convergence properties of the fixed point technique as explained by Sancery in 1862 and Schröder in 1870. The bisection method does not have the prestigious past of other methods of root finding, howe

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,Clifford and Sylvester on the Development of Peirce’s Matrix Formulation of the Algebra of Relationer the algebra he had developed in his 1870 paper could be realized as a quaternion algebra. I shall argue that these factors were the creative influence of Peirce’s friend and colleague, William Kingdon Clifford (1845–1879) in the years prior to 1882, and the setting in 1879–1882 when Peirce and Sy