Research In History And Philosophy Of Mathematics: The Cshpm 2015 Annual Meeting In Washington, D. C. (proceedings Of The Canadian Society For History ... Et De Philosophie Des Mathématiques)

This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such as * New evidence that the Latin translation of Euclid’s Elements was based on the Arabic version attributed to al-Ḥajjāj * Work done on the __arc rampant__ in the seventeenth century * The history of numerical methods for finding roots of nonlinear equations * An original play featuring a dialogue between George Boole and Augustus De Morgan that explores the relationship between them * Key issues in the digital preservation of mathematical material for future generations * A look at the first twenty-five years of __The American Mathematical Monthly__ in the context of the evolving American mathematical community * The growth of Math Circles and the unique ways they are being implemented in the United States 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. This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Sociť ̌Canadienne d'Histoire et de Philosophie des Mathm̌atiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such as New evidence that the Latin translation of Euclid's Elements was based on the Arabic version attributed to al-Ḥajjāj Work done on the arc rampant in the seventeenth century The history of numerical methods for finding roots of nonlinear equations An original play featuring a dialogue between George Boole and Augustus De Morgan that explores the relationship between them Key issues in the digital preservation of mathematical material for future generations A look at the first twenty-five years of The American Mathematical Monthly in the context of the evolving American mathematical community The growth of Math Circles and the unique ways they are being implemented in the United States 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 Front Matter....Pages i-xiv The Latin Translation of Euclid’s Elements attributed to Adelard of Bath: Relation to the Arabic transmission of al-Ḥajjāj....Pages 1-13 The Arc Rampant in 1673: Abraham Bosse, François Blondel, Philippe de la Hire, and conic sections....Pages 15-24 The Need for a Revision of the Prehistory of Arithmetic and its Relevance to School Mathematics....Pages 25-38 Bolzano’s measurable numbers: are they real?....Pages 39-56 Finding the roots of a non-linear equation: history and reliability....Pages 57-68 Remarkable Similarities: A dialogue between Boole and De Morgan....Pages 69-82 Clifford and Sylvester on the Development of Peirce’s Matrix Formulation of the Algebra of Relations, 1870–1882....Pages 83-91 The Correspondence of William Burnside....Pages 93-111 Historical evidence of the close friendship between Yoshikatsu Sugiura and Paul Dirac....Pages 113-125 Grattan-Guinness’s work on classical mechanics....Pages 127-160 Humanistic Reflections on Hundredth Powers-A Case Study....Pages 161-166 The Quest for Digital Preservation: Will a portion of mathematics history be lost forever?....Pages 167-179 Mathematical Communities as a Topic and a Method....Pages 181-192 The American Mathematical Monthly (1894-1919): A New Journal in the Service of Mathematics and Its Educators....Pages 193-204 Charter Members of the MAA and the Material Culture of American Mathematics....Pages 205-219 An American Postulate Theorist: Edward V. Huntington....Pages 221-235 The establishment and growth of Math Circles in America....Pages 237-248