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所在平台: Udemy |
课程主页: https://www.udemy.com/course/category-theory/
课程评论：没有评论
课程名称：范畴论速成班 (Category Theory Crash Course) 课程概述： 本课程旨在介绍范畴论的理念和基本理论。其中最重要的一个理论是“Yoneda引理”，它是一种非常有趣的方式来应用范畴论的哲学思想。课程还将介绍“对偶性”和“普遍性”等简单但基础的概念，这些概念有助于理解我们已知的许多构造，并揭示它们之间潜在的联系。本课程将努力成为一门与学生互动、共同成长的“活”课程。 课程内容重点： * 范畴论的哲学思想 * Yoneda引理及其应用 * 对偶性 * 普遍性 * 关联已有数学构造的新视角 课程特点： * 互动式学习，鼓励学生参与 * 由浅入深，由基础原理到实际应用
Introduces the philosophy and basic results of category theory. The main one that has become quite well known is called Yoneda's Lemma and is a really fun way to apply the philosophy of category theory. We also have simple but fundamental notions in theory such as duality and universality which relate many of the constructions we knew about but perhaps didn't realise we related in this or that way. Will try to be a living course that grows with student participation.
