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Birkhäuser

Research in History and Philosophy of Mathematics

The CSHPM 2019-2020 Volume

  • Book
  • © 2022

Overview

Editors:
  1. Maria Zack

    1. Point Loma Nazarene University, San Diego, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Dirk Schlimm

    1. McGill University, Montreal, Canada

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    You can also search for this editor in PubMed   Google Scholar

  • Contains rigorously reviewed scholarly works on the history and philosophy of mathematics
  • Contributions are written by leading scholars in the field
  • Will be accessible to anyone with a general interest in mathematics

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiii
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  2. The Most Obscure and Inconvenient Tables Ever Constructed?

    • Joel S. Silverberg
    Pages 1-20

  3. Commercializing Arithmetic: The Case of Edward Hatton

    • Duncan J. Melville
    Pages 21-43

  4. Leading to Poncelet: A Story of Collinear Points

    • Christopher Baltus
    Pages 45-58

  5. Cauchy, Le Verrier et Jacobi sur le problème algébrique des valeurs propres et les inégalités séculaires des mouvements des planètes

    • Roger Godard
    Pages 59-74

  6. Mathematics in Astronomy at Harvard College Before 1839 as a Case Study for Teaching Historical Writing in Mathematics Courses

    • Amy Ackerberg-Hastings
    Pages 75-94

  7. ‘Lectures for Women’ and the Founding of Newnham College, Cambridge

    • James J. Tattersall, Shawnee L. McMurran
    Pages 95-114

  8. Are Euclid’s Diagrams ‘Representations’? On an Argument by Ken Manders

    • David Waszek
    Pages 115-127

  9. Abstraction by Embedding and Constraint-Based Design

    • Bernd Buldt
    Pages 129-166

  10. The Birth of Undergraduate Modern Algebra in the United States

    • Walter Meyer, with the assistance of the Cajori Two Group
    Pages 167-183

  11. History as a Source of Mathematical Narrative in Developing Students’ Interpretations of Mathematics

    • Po-Hung Liu
    Pages 185-197

  12. Thoughts on Using the History of Mathematics to Teach the Foundations of Mathematical Analysis

    • Fairouz Kamareddine, Jonathan P. Seldin
    Pages 199-215
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Keywords

About this book

This volume contains eleven papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics, as well as the teaching of the history of mathematics.  Topics considered include
  • The mathematics and astronomy in Nathaniel Torperly’s only published work, Diclides Coelometricae, seu valvae astronomicae universal
  • Connections between the work of Urbain Le Verrier, Carl Gustav Jacob Jacobi, and Augustin-Louis Cauchy on the algebraic eigenvalue problem
  • An evaluation of Ken Manders’ argument against conceiving of the diagrams in Euclid’s Elements in semantic terms
  • The development of undergraduate modern algebra courses in the United States
  • Ways of using the history of mathematics to teachthe foundations of mathematical analysis

Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.

Editors and Affiliations

  • Point Loma Nazarene University, San Diego, USA

    Maria Zack

  • McGill University, Montreal, Canada

    Dirk Schlimm

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