Research in history and philosophy of mathematics : the CSHPM 2017 annual meeting in Toronto, Ontario /: the CSHPM 2017 annual meeting in Toronto, Ontario. (2018)

• Record Type: Book
• Further Information: Note: Maria Zack, Dirk Schlimm, editors.
• Editors: Zack, Maria; (Associate professor in philosophy), Schlimm, Dirk
• Other Names: Canadian Society for History and Philosophy of Mathematics
• Contents: Intro; Preface; Editorial Board; Contents; Contributors; The Definitions and Theorems of the Spherics of Theodosios; 1 Introduction; Aim of Paper; Introduction to Treatise; 1.1 Definitions; 1.2 Diagrams; 1.3 A Concept Requiring Explanation; 1.4 Unnecessary Terminology; 1.5 Error; 1.6 Geometrical Situation; 1.7 Settings-Out Needed; 1.8 Inadequate Content Included; 1.9 Material Missing Altogether; 2 Expanded Paraphrase of Results; 2.1 Definitions of Book I; 2.2 Propositions of Book I; 2.3 Definition of Book II; 2.4 Propositions of Book II; 2.5 Propositions of Book III; References John Marsh and the Curious World of Decimal Arithmetic1 Introduction; 2 Basic Definitions and Propositions; 3 Addition and Subtraction; 4 Interlude; 5 Multiplication and Division; 6 Involution and Evolution; 7 Tables; 8 Why?; References; Euler's Discovery and Resolution of D'Alembert's Paradox; 1 Introduction; 2 Euler's Analysis of the Resistance of Fluids; 3 D'Alembert's and Euler's Resolutions of the Drag Paradox; 4 Conclusions; References; Euler's Work on the Surface Area of Scalene Cones; 1 History of the Problem; 2 Teaching Surface Area: An Opinionated View; 3 The Scalene Cone 4 Varignon's Curve5 Algebraic Curves; 6 First Example; 7 Second Example; 8 General Base Curves; 9 Conclusion; References; What Mathematics Rittenhouse Knew; 1 Introduction; 2 Rittenhouse's Paper on the Integrals of Powers of Sines; 3 Rittenhouse's Paper on the Construction of Logarithms; 4 Rittenhouse's Other Voice: Letters to Jefferson; 5 Access to the American Philosophical Society and Monticello Libraries; 6 Scaffolding by Hutton; 7 Montucla and Other Sources; 8 Calculus Notation in the Diary of Observations; 9 Recalibrating the View of Rittenhouse; References John Playfair's Approach to "the Practical Parts of the Mathematics''1 Introduction; 2 Format and Content of the Prospectus; 3 "Practical Mathematics'' According to Prospectus; 4 Themes in Prospectus; 5 Conclusion; References; Monge's Descriptive Geometry in Three Examples; 1 Lines and Points in Space; 2 Problem of Planes and Lines, in Géométrie Descriptive; 3 Problem of Intersecting Cones, in Géométrie Descriptive; 4 Problem: Curvature of a Surface; References The Culture of Research Mathematics in 1860s Prussia: Adolph Mayer and the Theory of the Second Variation in the Calculus of Variations1 Introduction; 2 Prussia and the Discipline of Mathematics 1825-1865; 3 Mayer and His Mathematical Circle; 4 Mayer's Result; 5 Conclusion; 6 Epilogue; References; The Axiom of Choice as Paradigm Shift: The Case for the Distinction Between the Ontological and the Methodological Crisis in the Foundations of Mathematics; 1 Introduction; 2 The Axiom of Choice and the Ontological Crisis in the Foundations of Mathematics
• Publisher Details: Cham : Birkhäuser
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 510.1; Mathematics; Mathematics -- Philosophy -- History -- Congresses; MATHEMATICS / Essays; MATHEMATICS / Pre-Calculus; MATHEMATICS / Reference; Mathematics -- History & Philosophy; Philosophy of mathematics; History of mathematics; Electronic books
• Languages: English
• ISBNs: 9783319909837; 3319909835
• Related ISBNs: 9783319908557
• Notes: Note: Online resource; title from PDF title page (EBSCO, viewed September 20, 2018)
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.