Understanding Hall's Marriage Theorem

The transcript used in this video was heavily influenced by Dr. Oscar Levin's free open-access textbook: Discrete Mathematics: An Open Introduction. Please visit his website to get the full textbook for free: http://discrete.openmathbooks.org/dmo...

Prerequisites: (This will be updated soon!)

Hi! My name is Kody Amour, and I make free math videos on YouTube. My goal is to provide free open-access online college math lecture series on YouTube using free open-access resources. I rely on generous donations and ad revenue - a special thanks to everyone who helped this channel grow.

**Please only give if you have the financial ability to do so.**

Support this Amour Learning channel directly on Patreon:   / amourlearning  
-------------------------------------------------------------------------------------------------------------------
Credit to all of the authors of all of the resources below that greatly helped influence this video. My newer videos are much more original than these videos.

Free open-access online math textbooks:
https://aimath.org/textbooks/approved...

My favorite number theory textbooks:
Number Theory: In Context and Interactive by Dr. Karl-Dieter Crisman: http://math.gordon.edu/ntic/
Elementary Number Theory:
Primes, Congruences, and Secrets by Dr. William Stein: https://wstein.org/ent/
A Computational Introduction to Number Theory and Algebra by Dr. Victor Shoup: https://shoup.net/ntb/

My favorite programming language:
SageMath (which in my view is categorically more productive than Python, R, Mathematica, Matlab, Maple, Magma, etc - if you're using any of these and they aren't working out, consider switching to Sage): https://www.sagemath.org/

A free in-depth tutorial for SageMath: https://doc.sagemath.org/html/en/tuto...

Learn LaTeX in 30 minutes: https://www.overleaf.com/learn/latex/...
-------------------------------------------------------------------------------------------------------------------
My favorite math/science YouTube channels that I absolutely love (in no particular order):
Zach Star:    / @zachstar  
Numberphile:    / @numberphile  
3Blue1Brown:    / @3blue1brown  
MIT OpenCourseWare:    / @mitocw  
Khan Academy:    / @khanacademy  
PBS Infinite Series:    / @pbsinfiniteseries  
Lex Fridman:    / lexfridman