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

Research in History and Philosophy of Mathematics

The CSHPM 2017 Annual Meeting in Toronto, Ontario

Editors: Zack, Maria, Schlimm, Dirk (Eds.)

  • Contains rigorously reviewed scholarly works on the history and philosophy of mathematics from a variety of time periods and cultures 
  • Contributions are written by the leading scholars in the field
  • Will be accessible to anyone with a general interest in mathematics, not just students and academics
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Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-319-90983-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-319-90855-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This volume contains thirteen papers that were presented at the 2017 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques, which was held at Ryerson University in Toronto. It showcases rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics from Ancient Greece to the twentieth century.

A series of chapters all set in the eighteenth century consider topics such as John Marsh’s techniques for the computation of decimal fractions, Euler’s efforts to compute the surface area of scalene cones, a little-known work by John Playfair on the practical aspects of mathematics, and Monge’s use of descriptive geometry.

After a brief stop in the nineteenth century to consider the culture of research mathematics in 1860s Prussia, the book moves into the twentieth century with an examination of the historical context within which the Axiom of Choice was developed and a paper discussing Anatoly Vlasov’s adaptation of the Boltzmann equation to ionized gases.

The remaining chapters deal with the philosophy of twentieth-century mathematics through topics such as an historically informed discussion of finitism and its limits; a reexamination of Mary Leng’s defenses of mathematical fictionalism through an alternative, anti-realist approach to mathematics; and a look at the reasons that mathematicians select specific problems to pursue.

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.

Table of contents (13 chapters)

  • The Definitions and Theorems of the Spherics of Theodosios

    Thomas, R. S. D.

    Pages 1-21

  • John Marsh and the Curious World of Decimal Arithmetic

    Melville, Duncan J.

    Pages 23-42

  • Euler’s Discovery and Resolution of D’Alembert’s Paradox

    Hackborn, William W.

    Pages 43-57

  • Euler’s Work on the Surface Area of Scalene Cones

    Curtin, Daniel J.

    Pages 59-67

  • What Mathematics Rittenhouse Knew

    Alexander, Marion W.

    Pages 69-89

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-319-90983-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-319-90855-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Research in History and Philosophy of Mathematics
Book Subtitle
The CSHPM 2017 Annual Meeting in Toronto, Ontario
Editors
  • Maria Zack
  • Dirk Schlimm
Series Title
Proceedings of the Canadian Society for History and Philosophy of Mathematics/ Société canadienne d’histoire et de philosophie des mathématiques
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-90983-7
DOI
10.1007/978-3-319-90983-7
Hardcover ISBN
978-3-319-90855-7
Series ISSN
2366-3308
Edition Number
1
Number of Pages
XIII, 203
Number of Illustrations
10 b/w illustrations, 29 illustrations in colour
Topics