《矢量分析史》封面

矢量分析史

A history of vector analysis

Michael J. Crowe · 初版 1967 年

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Hacker News 上怎么说

  • ……矩阵,如果你想在如今针对矩阵运算做了优化的计算机上写出飞快的数值代码,这可能会很有帮助。如果你对历史感兴趣,我推荐 Crowe 1967 年写的《History of Vector Analysis》。我觉得如果你 Google 搜索一下,应该能在网上找到 Clifford 的数学论文集,或者去买一本 1960 年代由 Chelsea 出版的精美二手版本;最近 AMS 重印的……

    …matrices, which might be helpful if you want to write fast numerical code on current computers, which have been optimized to do matrix math. If you’re interested in the history, I recommend Crowe’s 1967 [History of Vector Analysis][hva]. I believe you can find the collected mathematical papers of Clifford online if you do a google search, or buy a used copy of a nice version published by Chelsea in the 1960s; the recent AMS reprint…

  • 对于那些对历史感兴趣的人,我强烈推荐 Crowe 的书《A History of Vector Analysis》。它的视角偏向占统治地位的 Gibbs/Heaviside“现代”向量体系,所以它可能有点低估了 Hamilton 的四元数的重要性/实用性……

    For those interested in the history, I highly recommend Crowe’s book A History of Vector Analysis. It’s written a bit from the perspective of the dominant “modern” system of vectors from Gibbs/Heaviside, so it probably somewhat undersells the significance/usefulness of both Hamilton’s quaternions…

  • 还有一本极棒的书,Crowe 写的《A History of Vector Analysis: The Evolution of the Idea of a Vectorial System》,涵盖了从复数到 Gibbs 向量的发展历程,还包括了 Hamilton 以及当时的竞争对手 Grassmann 代数,两者都是……的基础

    There's also a great book "A History of Vector Analysis: The Evolution of the Idea of a Vectorial System" by Crowe which covers vectors from Complex numbers to Gibbs vectors and includes Hamilton and the competitor at the time Grassman Algebra, both the basis…

  • 我逢人就推这本:Michael Crowe 写的《A History of Vector Analysis: The Evolution of the Idea of a Vectorial System (Dover Books on Mathematics)》。简直让人欲罢不能,拿起来就放不下。

    I recommend this a lot "A History of Vector Analysis: The Evolution of the Idea of a Vectorial System (Dover Books on Mathematics)" by Michael Crowe. It's a page turner.

  • ……空间/矩阵/等概念变得清晰易懂,我们就能自然地从向量/向量微积分的角度来看待物理问题了。以下几本在这方面很有帮助:1) Banesh Hoffmann 的《About Vectors》。2) Michael Crowe 的《A History of Vector Analysis: The Evolution of the Idea of a Vectorial System》。

    …Spaces/Matrices/etc. become intelligible and we can begin to look at Physical problems naturally in terms of vectors/vector calculus. The following are helpful here; 1) About Vectors by Banesh Hoffmann. 2) A History of Vector Analysis: The Evolution of the Idea of a Vectorial System by Michael Crowe.

  • ……鉴于他在《Vector Analysis》这本小册子里的所作所为,理应被列为阻碍四元数进步的绊脚石之一,这册子简直是个阴阳怪气的怪物,拼凑了 Hamilton 和 Grassmann 两家的符号体系”见 Crowe 的《History of Vector Analysis》或 Altmann 的《Hamilton, Rodrigues, and the Quaternion Scandal》。很高兴看到作者引用了这些!几何代数来源于 Clifford 代数,后者试图将 Hamilton 的……结合起来

    …be ranked as one of the retarders of quaternion progress, in virtue of his pamphlet on Vector Analysis, a sort of hermaphrodite monster, compounded of the notations of Hamilton and of Grassman" See "History of Vector Analysis" by Crowe or "Hamilton, Rodrigues, and the Quaternion Scandal" by Altmann. Nice to see the author cites these! The Geometric Algebra comes from Clifford Algebras, which where an attempt to combine Hamilton's…

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