Modular Arithmetic Basics: Congruence mod n

The fundamental definition and properties of congruence modulo n. We talk about how modular arithmetic is related to remainders, as well as the rules for addition and multiplication of congruences!

0:00 Definitions
5:17 Equivalence Relation
8:50 Operations (mod n)

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Music: OcularNebula - The Lopez

[mehhh._.]

This was actually sooo useful!! You explain Modular Arithmetic better than any online video or course I've found on the internet. Everything makes sense now!! Every video I come across explain as they solve congruences, but you are the only one who actually proved the operations and made things make sense. Thanks so much! New Subscriber

[samaiatraforti]

You have explained this better than anyone I have come across either on the internet or at my university. Thankyou, SO much. Truly a lifesaver before my mid semester exams!!! New subscriber :)

[grantmccotter]

You explain this far better than my university lecturer.

[sherifayoosuf]

Really nice video, I am a slow learner of Maths, This explains step by step very clearly . Many videos I watched regarding the basics of Modular Arithmetic but all those were for quick learners I think . This one is really helpful for a person like me who is slow and little bit poor in maths, Thank you

[OriginalSuschi]

Thank you for starting this Series! I know the basics, but there are many things that I should memorize as well :)

[pauldifolco]

Looking forward to this if it becomes a sort of series!

[premdeepkhatri]

very good explanation. Thank You for explanation.

[MrCoreyTexas]

Thank you for these videos, I was studying cryptography and it assumes you know a lot about modular arithmetic. I took a lot of math in primary school and college, and I don't seem to recall ever going through this (but I never took a cryptography course to be fair, and I could have forgotten about it)

[kadirduljic]

As always, great video by even greater teacher!

[poloqaz]

wow.... just wow... that was in depth very good explanation. thank you.

[Kdd]

I wanted to learn this as this is very important for number theory which is very interesting. I was able to find only the long lectures on youtube. Since I didn't have time for all this, I was not able to learn this thing. THANK YOU FOR THIS VIDEO <3 it really helped me;)))

[Leo_banana]

Thank you! You answered my question of operations!

[immortalspiritualbeing]

I love this video, it is very clear and accurate

[jessicacostadasilva]

thank you a lot!!! it was a great explanation. Also, your english is super clear and easy to understand <3

[MrCoreyTexas]

I just write a % n instead of rem(a, n) when I'm working out math on paper, I just use the C notation, it's succinct.

[HouseOrigins]

Very clear and well explained, new subscriptor here!

[AhamedKabeer-wnjb]

Wow.. What a beautifull explanation...

[intruder]

Thanks a lot this video help me a lott and was soo clear .

[datsmydab-minecraft-and-mo]

You should do a series on Complex Analysis!

[paulifeanyi]

Damn this is another channel I am watching to understand this but instead I am getting more and more confused totally