Research in History and Philosophy of Mathematics: The Cshpm 2023 Volume

Zack, Maria, Waszek, David

  • 出版商: Birkhauser Boston
  • 出版日期: 2025-01-20
  • 售價: $5,530
  • 貴賓價: 9.5$5,254
  • 語言: 英文
  • 頁數: 165
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031729358
  • ISBN-13: 9783031729355
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相關主題

商品描述

This volume contains 8 papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases rigorously reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics.

Some of the topics explored include:

  • The work of Alfred Clebsch and Adolph Mayer on the theory of the second variation, a topic in the calculus of variations
  • The history of The Analyst - the journal that would eventually become the Annals of Mathematics - and its founding editor, Joel Hendricks
  • An examination of early attempts at introducing transformations into the geometry curriculum at the secondary level
  • Anna Sfard's commognitive theory of learning and how it can be applied to gain insights into certain aspects of the history of mathematics
  • Analyzing archaeological data from Rapa Nui (Easter Island) and the kinship system of the Natchez tribe of the Mississippi Valley as examples of utilizing ethnomathematics in mathematics education

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.

商品描述(中文翻譯)

本卷收錄了由加拿大數學史與哲學學會所收集的8篇論文。這些論文展示了對數學史與哲學中各種有趣主題的嚴謹審核的當代學術研究。

探討的一些主題包括:
- Alfred Clebsch 和 Adolph Mayer 在第二變分理論上的研究,這是變分法中的一個主題
- 《The Analyst》的歷史——這本期刊最終成為《Annals of Mathematics》——及其創始編輯 Joel Hendricks
- 對早期在中學課程中引入變換的嘗試進行檢視
- Anna Sfard 的共認知學習理論及其如何應用於深入了解數學史的某些方面
- 分析來自拉帕努伊(復活節島)的考古數據以及密西西比河谷的 Natchez 部落的親屬系統,作為在數學教育中利用民族數學的例子

這些論文由該領域的領先學者撰寫,不僅對數學家和數學史與哲學的學生可及,也對任何對數學有一般興趣的人士開放。