Research in History and Philosophy of Mathematics: The CSHPM 2014 Annual Meeting in St. Catharines, OntarioMaria Zack, Elaine Landry Birkhäuser, 10 de nov. 2015 - 192 pàgines This volume contains thirteen papers that were presented at the 2014 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held on the campus of Brock University in St. Catharines, Ontario, Canada. It contains rigorously reviewed modern scholarship on general topics in the history and philosophy of mathematics, as well as on the meeting’s special topic, Early Scientific Computation. These papers cover subjects such as •Physical tools used by mathematicians in the seventeenth century •The first historical appearance of the game-theoretical concept of mixed-strategy equilibrium •George Washington’s mathematical cyphering books •The development of the Venn diagram •The role of Euler and other mathematicians in the development of algebraic analysis •Arthur Cayley and Alfred Kempe’s influence on Charles Peirce's diagrammatic logic •The influence publishers had on the development of mathematical pedagogy in the nineteenth century •A description of the 1924 International Mathematical Congress held in Toronto, told in the form of a “narrated slide show” Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics. |
Continguts
Falconers Cryptology | 1 |
Is Mathematics to Be Useful? The Case of de la Hire Fontenelle and the Epicycloid | 15 |
Placing Maths into the Hands of PractitionersThe Invention and Popularization of Sectors and Scales | 23 |
Early Modern Computation on Sectors | 51 |
The EighteenthCentury Origins of the Concept of MixedStrategy Equilibrium in Game Theory | 62 |
Putting George Washingtons Cyphering Manuscript Back Together Again | 79 |
Natures of Curved Lines in the Early Modern Period and the Emergence of the Transcendental | 97 |
Origins of the Venn Diagram | 105 |
Publishing Mathematics and the International Book Trade Macmillan and Co | 121 |
The Influence of Arthur Cayley and Alfred Kempe on Charles Peirces Diagrammatic Logic | 138 |
HPM | 149 |
The Judicial Analogy for Mathematical Publication | 161 |
History and Philosophy of Mathematics at the 1924 International Mathematical Congress in Toronto | 171 |
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Frases i termes més freqüents
algebraic angle Aristotelian Cajori calculation Cambridge Canada Canadian Cayley century Charles circle construction corresponding Cryptomenysis curves cycloid cyphering books Descartes diagrams dividers early modern edition Émile Borel entitative graphs epicycloid equations Euclid Euler existential graphs Falconer’s Fehr Fontenelle functions Gauthier-Villars geometric Gunter’s Henri Lebesgue History and Philosophy hm;ni instruments International Mathematical Congress J. C. Fields Jared Sparks John Charles Fields John Falconer Kempe Kempe’s L’Enseignement mathématique La Hire labeled leaf Leçons Leibniz letters line of lines livres logarithmic logic Logic of Relatives London Macmillan manuscript mathematical objects mathematicians mixed-strategy Montmort origins paper Paul Peano Peirce Peirce’s Philosophy of Mathematics Pierre pivot players polynômes problem Professor proof propositions Robin catalog scales sector séries trigonométriques side sines solution strategy profile syllogisms tangent testimony textbooks theory Thomas Todhunter Todhunter’s transverse distance triangles Trigonometry University of Toronto Vallée Poussin Venn Venn’s Waldegrave Washington