MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
Language: English | Size: 2.12 GB | Duration: 1h 40m
First stop Yoneda's Lemma
What you'll learn
Objects, morphisms, functors and natural transformations
Universal properties
Yoneda's Lemma
The principle of abstraction and generality
Requirements
Familiarity with sets and functions would help
Familiarity with linear algebra and vector spaces would help more
In principle this could be taught first but slower
Description
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.
Overview
Section 1: Introduction
Lecture 1 Introduction
Section 2: Ch1
Lecture 2 Objects and morphisms
Lecture 3 Universal properties
Lecture 4 Functors and Natural transformations
Lecture 5 Yoneda's Lemma
Lecture 6 Exercises
Advanced high school senior students who seek a proper foundation in maths,Undergraduate students who want to study graduate maths,Smart people who want to understand category theory for whatever purpose eg programming, research, etc,Fans of Grothendieck
Homepage
Code:
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Code:
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