Calculus Reordered: A History of the Big Ideas
暫譯: 重排微積分:大思想的歷史

Bressoud, David M.

  • 出版商: Princeton University Press
  • 出版日期: 2021-05-04
  • 售價: $1,160
  • 貴賓價: 9.5$1,102
  • 語言: 英文
  • 頁數: 248
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0691218781
  • ISBN-13: 9780691218786
  • 相關分類: 微積分 Calculus
  • 海外代購書籍(需單獨結帳)

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商品描述

A look at how calculus has evolved over hundreds of years and why calculus pedagogy needs to change

Calculus Reordered tells the remarkable story of how calculus grew over centuries into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, how it was shaped by Italian philosophers such as Galileo Galilei, and how its current structure sprang from developments in the nineteenth century. Bressoud reveals problems with the standard ordering of its curriculum--limits, differentiation, integration, and series--and he argues that a pedagogy informed by the historical evolution of calculus represents a sounder way for students to learn this fascinating area of mathematics. From calculus's birth in the Hellenistic Eastern Mediterranean, India, and the Islamic Middle East, to its contemporary iteration, Calculus Reordered highlights the ways this essential tool of mathematics came to be.

商品描述(中文翻譯)

探討微積分如何在數百年中演變以及微積分教學法為何需要改變

微積分的重組 敘述了微積分如何在幾個世紀中發展成為我們今天所知的學科的非凡故事。大衛·布雷索德(David Bressoud)解釋了為何微積分被歸功於十七世紀的偉人艾薩克·牛頓(Isaac Newton)和戈特弗里德·萊布尼茨(Gottfried Leibniz),以及它如何受到意大利哲學家如伽利略·伽利萊(Galileo Galilei)的影響,並且它當前的結構是如何源於十九世紀的發展。布雷索德揭示了其課程標準順序的問題——極限、微分、積分和級數——並主張一種基於微積分歷史演變的教學法,代表了學生學習這一迷人數學領域的更合理方式。從微積分在希臘化東地中海、印度和伊斯蘭中東的誕生,到其當代的演變,微積分的重組 突顯了這一數學基本工具的形成過程。

作者簡介

David M. Bressoud is DeWitt Wallace Professor Emeritus at Macalester College and Director of the Conference Board of the Mathematical Sciences. His many books include Second Year Calculus. Twitter @dbressoud

作者簡介(中文翻譯)

大衛·M·布雷索德是麥卡萊斯特學院的德威特·華萊士名譽教授,以及數學科學會議委員會的主任。他的著作包括第二年微積分。Twitter @dbressoud