应用范畴论之邀

Hacker News 上怎么说

• benrbray · 2021 年

  如果你对这玩意儿感兴趣又不知从何下手，Fong 和 Spivak 的《An Invitation to Applied Category Theory: Seven Sketches in Compositionality》[1] 第一章也用偏序关系引入了范畴论思想。修改补充：读完 Fong 和 Spivak 那本之后，Emily Riehl 的《Category Theory in Context》是一本……

  If you’re curious about this stuff and don’t know where to begin, the first chapter of Fong & Spivak, “An Invitation to Applied Category Theory: Seven Sketches in Compositionality” [1] also introduces category-theoretic ideas using partial orders. Edit: After the Fong & Spivak book, the book by Emily Riehl, "Category Theory in Context" is an…

• playing_colours · 2019 年

  ……在某个领域的专业造诣，被动阅读带来的收益几乎为零。所以我计划在 2020 年多写多写代码（精通用于数学和 CS 的 Julia）。今年我很喜欢的几本书：Brendan Fong 和 David I. Spivak 写的《An Invitation to Applied Category Theory》。深入探索范畴论，看看如何将范畴化思维应用到不同领域（数据库、信号处理、电路），真的非常有意思。一些数学上的……

  …expertise in some area, the benefit of passive reading approaches zero. So I plan to write more and code more (mastering Julia for mathematics and CS) in 2020. A few titles I enjoyed this year: "An Invitation to Applied Category Theory" by Brendan Fong, David I. Spivak. It was fun to dig deeper into categories and read how you can apply thinking in them to different domains: databases, signal processing, circuits. Some mathematical…

• photon_lines · 2022 年

  ……如果你也对视觉化指南感兴趣，我也写过一份：https://github.com/photonlines/Intuitive-Guide-to-Maxwells-Equations - 《Introduction to Elementary Particles》（David J. Griffiths） - 《An Invitation to Applied Category Theory: Seven Sketches in Compositionality》（Brendan Fong, David I Spivak） - 《Solving Mathematical Problems: A Personal Perspective》（陶哲轩）

  …you're also interested in a visual guide, I wrote one as well: https://github.com/photonlines/Intuitive-Guide-to-Maxwells-Equations - Introduction to Elementary Particles (David J. Griffiths) - An Invitation to Applied Category Theory: Seven Sketches in Compositionality (Brendan Fong, David I Spivak) - Solving Mathematical Problems: A Personal Perspective (Terence Tao)

• playing_colours · 2019 年

  我很喜欢《An Invitation to Applied Category Theory》，这里有 pdf：[1] 它的语言风格偏简练和数学化，但对于非数学专业的人来说依然非常清晰好懂。作者提供了很多有趣的实际应用案例。……

  I liked “An Invitation to Applied Category Theory“, pdf is available here: [1] It is written in a more terse, mathematical language, but it is very clear and friendly for non-mathematicians. The authors provide interesting examples of applicability.…

• chermi · 2021 年

  ……Cyber-Physical Systems Introduction to Embedded Systems, Second Edition: A Cyber-Physical Systems Approach Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control An Invitation to Applied Category Theory: Seven Sketches in Compositionality 顺便说一句，想让我推荐物理方面的书尽管问，尤其是统计力学、仿真/计算、凝聚态理论方面

  …of Cyber-Physical Systems Introduction to Embedded Systems, Second Edition: A Cyber-Physical Systems Approach Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control An Invitation to Applied Category Theory: Seven Sketches in Compositionality BTW, feel free to ask for recommendations in physics, especially stat mech, simulation/computation, condensed matter theory

• 0815test · 2019 年

  ……操作的“类型”或“域”，但要以一种一致的方式进行，保留楼主所说的那种类组合性（compositionality-like）的特征。最近有一本探讨这个主题的书叫《Seven Sketches in Compositionality; An Invitation to Applied Category Theory》https://arxiv.org/abs/1803.05316 。（尽管书名里明显提到了 CT，但内容其实相当通俗，涉及的数学也不比链接那篇博文复杂多少。……

  …"type" or "domain" of operation, but in a consistent way that preserves the compositionality-like properties OP talks about. A recent book exploring this topic is "Seven Sketches in Compositionality; An Invitation to Applied Category Theory" https://arxiv.org/abs/1803.05316 . (Despite the obvious reference to CT in the title, the work is quite accessible and the math involved is not much more complicated than that found in the linked blogpost.…

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