Intro To Math Proofs (Full Course)

This is my full introductory math proof course called "Prove it like a Mathematician" (Intro to mathematical proofs). I hope you enjoy it!

For any corrections, please see the video description.

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TIMESTAMPS
0:00 What's a Proof
10:44 Logical Rules
17:38 Mathematical Sets
30:38 Quantifiers
41:50 Direct Proofs
52:35 Contrapositive
1:01:39 "If and Only If"
1:12:28 Proof by Contradiction
1:23:01 Theorems are always true.
1:27:48 Proof by Cases (Exhaustion)
1:38:56 Mathematical Induction
1:51:17 Strong Induction
1:54:40 Introduction to Function.
2:01:49 Existence Proofs
2:11:01 Uniqueness Proofs
2:18:22 False Proofs

#math #brithemathguy #mathproofs

Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.

[BriTheMathGuy]

This course might have mistakes or define things slightly differently than you will/have seen in other texts. If you find an error please reply to this comment with timestamp. I will do my best to make corrections (in the video description or otherwise) with the tools youtube allows at the time.

[kaewoomusic]

colleges are charging thousands of dollars for a course like this while this guy is doing it for free

[Mai-oXu]

0:00 What's a Proof
10:44 Logical Rules
17:38 Mathematical Sets
30:38 Quantifiers
41:50 Direct Proofs
52:35 Contrapositive
1:01:39 "If and Only If"
1:12:28 Proof by Contradiction
1:23:01 Theorems are always true.
1:27:48 Proof by Cases (Exhaustion)
1:38:56 Mathematical Induction
1:51:17 Strong Induction
1:54:40 Introduction to Function.
2:01:49 Existence Proofs
2:11:01 Uniqueness Proofs
2:18:22 False Proofs

[andrewg]

thank you for speaking VERY slowly and defining everything. Your pacing is excellent, and i LOVE that you constantly say "so what does this mean?". You are a true teacher who wants students to reflect and take a step back to digest and it is a very underrated skillset as an educator.

A lot of math professors move too fast and automatically expect students to be at their level. They are great mathematicians first and educators second, which can make things greatly intimidating and disheartening for some students. Keep up the GREAT work!

[TheArtmatician]

I love you, man. Thanls for the almost 2h30min. I'm gonna do a very good use of them, don't worry.

[shawonsarkar]

this is the video that i have been looking since my high school days . it's a hidden gem 💎💎💎

[Canda-fhxc]

I wish I watched this video 25 years ago when I was in college.
Your explanation is very easy and clear.

[atharvbhalerao]

Love you bro! I wish I had found this before taking honours math classes in first year.

[syncradar]

I recently just thought of learning proofs, and it is here in my recommendations...

[ada.batungbakal]

Thank you so much. Your proofs are clearly presented.

[FrancisZerbib]

The ultimate best math lesson on Youtube. I wish I knew even a part of it, while learning for my BSc. Thank you very much.

[PrimordialOracleOfManyWorlds]

ultra-cool af math proving video. tyvm for me bringing back to the tautologies. i used to have a table or listing of all tautologies. they were fun to use in programming and proofs.

[joshuagalias]

This is exactly what I was looking for to review and prep for the fall. Thank you for the video <3

[samiulalimsarkar]

Bro is serving to mankind. Brother really, thanks❤

[thehellfromthemountaint]

Yep, im gonna be a math major. Thanks, def helped me with figuring it out

[scottleung]

This is awesome - it really could've helped me when I was taking modern analysis in college!

[tvesaatamannamohanty]

I dont even have words to thank you. You are great.

[caliguy]

This is a great review. We did all of these techniques in my discrete math class, which was a really good comprehensive introduction to mathematical proofs.

[kathlynarts]

Good Sir, THIS, this what I'm looking for!❤

[davethesid]

Be careful, in English the structure either-or IS exclusive. Btw, this was a great course, I really enjoyed it.

Also, in Hungary 0 is considered a natural number.