Relations and Functions: The Modern Definition of a Mathematical Function.
In this video, we discuss how the definition of a function has changed over time, largely due to the development of set theory.
Chapters
0:00 - Introduction and Motivation
01:50 - Products of Sets
02:53 - Relations
03:59 - Functions
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In-video references
1. A history of Mathematics (Merzbach and Boyer) - https://amzn.to/33505x1
2. Concepts of Modern Mathematics (Stewart) - https://amzn.to/3zIJyut
3. Foundations of Mathematics (Stewart and Tall) - https://amzn.to/3JVY0UJ
FAQ : How do you make these animations?
Animations are made in Apple Keynote which has lots of functionality for animating shapes, lines, curves and text (as well as really good LaTeX). Editing and voiceover work in DaVinci Resolve.
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Thank you so much, I hope you find the content useful.
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