Deductions - How To Deduce Within A Proof

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/dmoi3.html

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: https://www.patreon.com/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-textbooks/

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/tutorial/

Learn LaTeX in 30 minutes: https://www.overleaf.com/learn/latex/Learn_LaTeX_in_30_minutes
——————————————————————————————————————-
My favorite math/science YouTube channels that I absolutely love (in no particular order):
Zach Star: https://www.youtube.com/channel/UCpCSAcbqs-sjEVfk_hMfY9w
Numberphile: https://www.youtube.com/channel/UCoxcjq-8xIDTYp3uz647V5A
3Blue1Brown: https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw
MIT OpenCourseWare: https://www.youtube.com/channel/UCEBb1b_L6zDS3xTUrIALZOw
Khan Academy: https://www.youtube.com/channel/UC4a-Gbdw7vOaccHmFo40b9g
PBS Infinite Series: https://www.youtube.com/channel/UCs4aHmggTfFrpkPcWSaBN9g
Lex Fridman: https://www.youtube.com/user/lexfridman