Composition of Functions (Set Theory)
Channel: Andrew Misseldine
Date: 2022-11-03

In this video, we introduce the notion of composition of functions and consider some examples. We prove that composition is associative and the composite of functions with properties often inherits those properties, such as injective and surjective functions.

This is lecture 32 of the lecture series offered by Dr. Andrew Misseldine for the course Math 3120 - Transition to Advanced Mathematics at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at:  https://drive.google.com/file/d/1VzumNo_TCQWzzflDMMDBYj4amSnkVrV-/view

This lecture is based upon Section 12.4 of Book of Proof (https://www.people.vcu.edu/~rhammack/BookOfProof/) by Richard Hammack, from the corresponding sections of A Transition to Advanced Mathematics (https://math.byu.edu/~doud/Transition/) by Darrin Doud and Pace P. Nielsen, and from Dr. Misseldine's own notes. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.