Showing papers in "Historia Mathematica in 2013"

TL;DR: In this article, the authors examined Diophantus' arithmetica from this perspective and found that it matches medieval algebra in both vocabulary and structure, as well as its structure.

TL;DR: In this paper, the relationship between Leibniz's perspective geometry and Desargues' perspective geometry is investigated, and the nature of the relation between the two geometries is determined.

TL;DR: A critical review of the iterative process used by Shams al-Dīn Muḥammad al-Wābkanawī (Iran, Maragha, ca. 1270–1320) in order to compute the annular solar eclipse of 30 January 1283 agrees to a remarkable extent with modern astronomical computations of the same eclipse.

TL;DR: In this paper, an extensive account of Ellis' largely forgotten work on philosophy of science and probability theory is provided, with reference to the disagreement between Ellis and Whewell on the nature of (pure) mathematics and its relation to scientific knowledge.

TL;DR: The first detailed account of polylogarithms and related functions was given by Spence as mentioned in this paper, who was an able analyst, one of the first to be conversant with recent continental advances, and having original views.

TL;DR: In this article, the authors explore the evolution of the Mittag-Leffler Theorem from its initial state in 1876 to its final version, published in 1884, and show that it contributed significantly to Weierstrass' program on the foundations of analysis.

TL;DR: Pasch and Klein this article provided insights into the role of intuition and axioms in mathematics, and also into the hiring practices of mathematics professors in the 1880s, using ten letters from the period from 1882 to 1902 from Moritz Pasch to Felix Klein.

TL;DR: In this article, the structure and movements of the partial orbs which form the sphere of the planet Mercury are examined, taking into account their motions in both longitude and latitude, in order to set their analysis into the more general context of the Mercury model explained in Peurbach's Theoricae novae planetarum.

TL;DR: A description of F. Steindl’s textbook Institutiones Arithmeticae (1778), the first official mathematics textbook in the Hungarian part of the Habsburg Empire after the reforms of the education system in the 1770s, is presented.

TL;DR: In this paper, the authors translate and analyze the problems in Wang Xiaotong's Jigu suanjing, which are mainly concerned with problems in solid and plane geometry leading to cubic equations which are to be solved numerically by the Chinese variant of Horner's method.

TL;DR: The De proportionibus libri duo as discussed by the authors is a treatise on proportion that follows Bradwardine's Tractatus de proportionibus seude proportionibus velocitatum in motibus (1328).