Research in history and philosophy of mathematics : the CSHPM 2014 annual meeting in St. Catharines, Ontario /: the CSHPM 2014 annual meeting in St. Catharines, Ontario. (2015)

• Record Type: Book
• Further Information: Note: Maria Zack, Elaine Landry, editors.
• Editors: Zack, Maria; Landry, Elaine M
• Other Names: Canadian Society for the History and Philosophy of Mathematics Annual Meeting
• Contents: Introduction; Editorial Board; Contents; Falconer's Cryptology; 1 Introduction; 2 Dating Falconer's Work; 2.1 References Within Cryptomenysis; 2.2 Motivation for Cryptomenysis; 2.3 Falconer's Biography; 3 Contents of Cryptomenysis; 3.1 Overview; 3.2 Specific Examples; 4 Conclusion; References; Is Mathematics to Be Useful? The Case of de la Hire, Fontenelle, and the Epicycloid; 1 Introduction; 2 Background in Mathematics and Mechanics; 3 La Hire and Fontenelle on the Epicycloid; 4 A Sign of the Times; References. The Rise of "the Mathematicals'': Placing Maths into the Hands of Practitioners-The Invention and Popularization of Sectors and Scales; 1 Introduction; 2 The Importance of Proportional Analogies in General Problem Solving; 3 Description and Use of the Lines of the Sector; 3.1 Line of Lines; 3.2 Line of Superficies; 3.3 Lines of Circular Parts; 3.4 The Particular Lines; 3.4.1 The Lines of Quadrature ; 3.4.2 The Lines of Segments; 3.4.3 The Lines of Inscribed Bodies and the Line of Equated Bodies; 3.4.4 The Lines of Metals; 4 Logarithmic Scales and Rules. 5 Construction and Use of the Scales of the Gunter's Rule; 5.1 Construction of Lines of Equal Parts; 5.2 Construction of Circular Lines; 5.3 Construction of Lines of Superficies; 5.4 Construction of Logarithmic Lines; 6 Three Applications from Astronomy: Solutions by Sector and Scale Compared; 6.1 Problem 1: Given the Distance of the Sun from the Equinoctial Point, to Find Its Declination; 6.2 Problem 2: Given the Latitude of Your Location and the Sun's Declination at Sunrise, to Find Azimuth of the Sun at that Time. 6.3 Problem 3: Given the Latitude of Your Location, Declination of the Sun, and the Sun's Altitude, to Find the Local (Solar) Time; 7 Impact of Sectors and Scales on Mathematics, Science, and Society; 8 Credits; References; Early Modern Computation on Sectors; 1 The History of Sectors According to NMAH; 2 Sectors in the Italian Style; 3 Sectors in the French Style; 4 Sectors in the English Style; 5 Conclusion; References; The Eighteenth-Century Origins of the Concept of Mixed-Strategy Equilibrium in Game Theory; 1 Introduction; 2 Le Her and Its Solution; 3 Jouer au Plus Fin. Appendix 1: Calculating Paul's Winning Card Counts; Appendix 2: Calculating Paul's Advantage; References; Reassembling Humpty Dumpty: Putting George Washington's Cyphering Manuscript Back Together Again; 1 Introduction; 2 Provenance of the Manuscript; 3 A Page That the Library of Congress Did Not Digitize; 4 The Cornell Leaf; 5 The Dartmouth Leaf; 6 A Leaf at the Historical Society of Pennsylvania; 7 A Missing Leaf; 8 Conclusion; References; Natures of Curved Lines in the Early Modern Period and the Emergence of the Transcendental; 1 Introduction; 2 Known and Nature in Early Modern Mathematics.
• Publisher Details: Cham : Birkhäuser
• Publication Date: 2015
• Extent: 1 online resource
• Subjects: 510.9; Mathematics -- History -- Congresses; Mathematics -- Philosophy -- Congresses; MATHEMATICS -- Essays; MATHEMATICS -- Pre-Calculus; MATHEMATICS -- Reference; Mathematics; Mathematics -- Philosophy; Electronic books; Conference papers and proceedings; History; Congresses
• Languages: English
• ISBNs: 9783319222585; 3319222589
• Related ISBNs: 9783319222578; 3319222570; 9783319222578
• Notes: Note: Includes bibliographical references.; Note: Vendor-supplied metadata.
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