Research in History and Philosophy of Mathematics : The CSHPM 2016 Annual Meeting in Calgary, Alberta / edited by Maria Zack, Dirk Schlimm.

Format:

Book

Contributor:

Zack, Maria., Editor.

Schlimm, Dirk., Editor.

Series:

Proceedings of the Canadian Society for History and Philosophy of Mathematics/ Société canadienne d’histoire et de philosophie des mathématiques, 2366-3316

Language:

English

Subjects (All):

Mathematics.

History.

Mathematics--Philosophy.

History of Mathematical Sciences.

Philosophy of Mathematics.

Local Subjects:

History of Mathematical Sciences.

Philosophy of Mathematics.

Physical Description:

1 online resource (XIII, 218 p. 51 illus., 21 illus. in color.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.

Summary:

This volume contains fourteen papers that were presented at the 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held at the University of Calgary in Alberta, Canada. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics, this meeting also honored the life and work of the logician and philosopher of mathematics Aldo Antonelli (1962-2015). The first four papers in this book are part of that remembrance and have a philosophical focus. Included in these are a discussion of Bolzano’s objections to Kant’s philosophy of mathematics and an examination of the influence of rhetorical and poetic aesthetics on the development of symbols in the 16th and 17thCenturies. The remaining papers deal with the history of mathematics and cover such subjectsas Early schemes for polar ordinates in the work of L’Hôpital, based on lessons given to him by Bernoulli A method devised by Euler for determining if a number is a sum of two squares Playfair’s Axiom and what it reveals about the history of 19th-Century mathematics education The modern library classification system for mathematical subjects An exploration of various examples of sundials throughout Paris Written by leading scholars in the field, these papers are accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.

Contents:

Paul Anh McEldowney, Bolzano against Kant's Pure Intuition

Jeremy Shipley, Poincare on the Foundation of Geometry in Understanding

Fabio Lampert, Natural Deduction for Diagonal Operators

Valerie Allen, What is a Symbol?- Polar Ordinates in Bernoulli and L'Hopital

Magic Squares of Subtraction of Adam Adamandy Kochanski

Euler's E228: Primality Testing and Factoring via Sums of Squares

Eisso J. Atzema, "A Most Elegant Property": On the Early History of Lexell's Theorem

Amy Ackerberg-Hastings, The Misnamings of Playfair's Axiom

Joel Silverberg, Napier, Toporley, Menelaus, and Ptolemy: Delambre and De Morgan's on Seventeenth-Century Restructuring of Spherical Trigonometry

Mariya Boyko, The Reception of American Mathematics Education in Soviet Pedagogical Journals of the 1960s and 1970s

Craig Fraser, Mathematics in Library Subject Classification Systems

Roger Godard, The Convolution as a Mathematical Object

George Heine, Sundials - Une Promenade Parisienne(A Math Walk in Paris). <paul mceldowney, .

Notes:

Includes bibliographical references.

ISBN:

3-319-64551-X