函数式微分几何

Hacker News 上怎么说

• kachnuv_ocasek · 2020 年

  …有兴趣从不同角度学习这个主题的人：Gerald Jay Sussman（SICP《计算机程序的构造和解释》的合著者之一）合写过一本讲微分几何的书，叫《Functional Differential Geometry》。它就像 SICP 和 SICM 一样，用 Scheme 构建起了微分几何的理论体系；对于想用更熟悉的语言来理解这个主题的程序员来说，这是一本极佳的读物。它可以在……

  …interested to learn the topic from different angle: Gerald Jay Sussman (among others, co-author of Structure and Interpretation of Computer Programs) has co-written a book on differential geometry called Functional Differential Geometry. It builds up the theory of differential geometry using Scheme, just like SICP and SICM, and is a fantastic read for programmers wanting to grasp the topic in a more familiar language. It is available…

• nrub · 2015 年

  Sussman 还有一本《Functional Differential Geometry》。这本书建立在 SICM 的成果之上，并深入探讨了相对论的思想。

  Additionally by Sussman is Functional Differential Geometry. This builds on work from SICM and delves into ideas of Relativity.

• pakled_engineer · 2015 年

  书单最后一次更新是在 1999 年，所以错过了不少好书，比如 Sussman 的《Functional Differential Geometry》，它教你把公式转化成程序。

  List was last updated in 1999 so missing good books like Sussman's Functional Differential Geometry where you convert formulas into programs.

• Koshkin · 2017 年

  你可以试试 Sussman 和 Wisdom 写的《Functional Differential Geometry》（既有实体纸质书，也有可免费下载的 PDF 文件）。这是一次非常有趣的数学教学实验，高度依赖计算机来做……

  You can try Functional Differential Geometry by Sussman and Wisdom (which exists both as a printed book and as a freely downloadable PDF file). It is an interesting experiment in teaching mathematics by heavily relying on the computer for doing…

• michaelsbradley · 2025 年

  或者，如果你想从计算机编程的角度来学习其中涉及的核心思想和数学，可以看看：Gerald Sussman（就是《Structure and Interpretation of Computer Programs》的作者）写的《Functional Differential Geometry》https://archive.org/details/FunctionalDifferentialGeometry/

  Or, if you want to learn the core ideas and math involved, but in terms of computer programming, see: Functional Differential Geometry by Gerald Sussman, same author behind Structure and Interpretation of Computer Programs https://archive.org/details/FunctionalDifferentialGeometry/

• kmill · 2016 年

  我自己还没读过，但我听过不少关于《Structure and Interpretation of Classical Mechanics》和《Functional Differential Geometry》的好评。我听说这些书里提供了一套能够合理替代传统符号的方案，而且凭 Sussman 教授对命名的讲究，我敢肯定单字母变量绝对不会经常出现。……

  I haven't read them myself yet, but I've heard good things about Structure and Interpretation of Classical Mechanics and Functional Differential Geometry. I hear there is a reasonable alternative to classical notation in these books, and with Prof. Sussman's insistence on good names for things, I'm sure single-letter variables do not happen that often.…

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