微积分的历史及其概念发展

The history of the calculus and its conceptual development

Carl B. Boyer · 初版 1959 年

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Hacker News 上怎么说

  • ……就已经开始发现微积分的原理了。”根据文章,自从 Heiberg 转录了部分文本(我不知道转录了多少)以来,这事大家其实已经知道好几十年了。我建议你看看 Carl B. Boyer 在 1949 年出版、后来由 Dover Publications 重印的《The History of the Calculus and Its Conceptual Development》[ISBN 0486605094]。Boyer 在书里用了好几页篇幅描写阿基米德的穷竭法(method of exhaustion)、无穷小的概念等等。主要的脚注……

    …had begun to discover the principles of calculus." This has been known for several decades, ever since Heiberg transcribed some of the text (I don't know how much), per the article. I refer you to The History of the Calculus and Its Conceptual Development, a 1949 book by Carl B. Boyer, reprinted by Dover Publications [ISBN 0486605094]. Boyer writes several pages about Archimedes' method of exhaustion, notions of the infinitesimal, and so on. The main footnote…

  • ……目前整理了这份看起来值得一读的数学史小书单:John Stillwell 的《Mathematics and Its History》(Undergraduate Texts in Mathematics 系列,2010 年第 3 版)、Carl B. Boyer 的《The History of the Calculus and Its Conceptual Development》(Dover Books on Mathematics 系列)、Carl B. Boyer 的《A History of Mathematics》、《A Concise History of Mathematics: Fourth Revised Edition》(Dover Books on Mathematics 系列)《A Concise History of……

    …so far have this small list of books related to Maths history that look worth reading: Mathematics and Its History (Undergraduate Texts in Mathematics) 3rd ed. 2010 Edition by John Stillwell The History of the Calculus and Its Conceptual Development (Dover Books on Mathematics) by Carl B. Boyer A History of Mathematics by Carl B. Boyer A Concise History of Mathematics: Fourth Revised Edition (Dover Books on Mathematics)A Concise History of…

  • ……微积分基本定理!他想明白了导数(变化率)和积分(曲线下面积)在某种程度上是互逆的(至少在这种情况下是)。牛顿真是太神了![1] Carl Boyer, 《The History of the Calculus and Its Conceptual Development》. Dover Publications, 1949。

    …Theorem of Calculus! He's figured out that derivatives (rates of change) and integrals (areas under curves) are somehow inverses (at least in this case). Newton was pretty amazing! [1] Carl Boyer, "The History of the Calculus and Its Conceptual Development". Dover Publications, 1949.

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