Basics of Modular Arithmetic

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#NumberTheoryTopics #ModularArithmetic

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ADDITIONAL TOPICS:
Chinese Remainder Theorem
Fermat’s Little Theorem
Euler’s Theorem
Primitive Roots and Power Residues
Hensel’s Lemma
Quadratic Residues and Quadratic Reciprocity

RESOURCES:

[pianofortexx]

OMG just on time! I have been taking this lesson for a month and I can't wrap my head around it. Can't wait to finally understand it!

[LOL-gnkv]

Modular makes everything so easy!
Even if you don't know too much of it, it still useful like a congruent to b modulo n can be written as a = kn + b for some integer k and it just becomes a linear equation thereafter. Also syber make this a series ;)

[mathsandsciencechannel]

I love this guy, always consistent, good explanation and good videos. Almost getting to 10k subscribers and he deserves it. Will get there someday bro.😍

[jakubwieliczko]

Awesome video! I am preparing for the olympiad so it was fun to see another perspective on modular arithmetic. Great explanation. Greetings from Poland! ❤💕💖

[haricharanbalasundaram]

Modular arithmetic is great for finding the last digits of very large exponents... like 7^55, for example. 49 is congruent to -1 (mod 10), 7^4 is congruent to -1^2 = 1 (mod 10) . 55 is basically 13*4 + 3, so the last digit is the last digit of 7^3, which is 3.

[diogenissiganos]

Modular arithmetic; one of the most important aspects of mathematics

[manojsurya]

This video reminds me of all the theorems and basics that I learned for modulo like fermat, Euler totient function, Wilson theorem, Chinese remainder theorem(for solving 3 congruent modulo).great video, u can make a video on each theorem briefly if u can

[math]

you are a great teacher bro, thanks for taking us through the basics of a topic that is so confusing to many students, great job, excellent tutorial

[aleksszukovskis]

Yes! finally! I was searching for these!

[RealEverythingComputers]

Thanks for the great explanation - great for an abstract algebra course

[shreyan]

@Sybermath please continue this series.... this is really helpful 😊🤩

[SimchaWaldman]

One of my favorite topics. And its symbols... feast for my eyes!

[deratu]

Wow, I really do like this video! Hopefully there are many more topics that can be explained like this. Have a nice day

[sergeigrigorev]

Really like this topic! I hope you will continue the Modular Arithmetics series

[kubabartmanski]

Very neat and elegant introduction to the topic!

[sakkiediereaper]

😂 the title should be, Modular Arithmetic: The cheat code to Mathematics!

[clovissimard]

TEMPS-HASARD MODULO 3
Pour en revenir au sujet qui nous occupe, dans le monde subatomique, il se pourrait que les phénomènes ne suivent pas une ligne de temps unique, ce qui est conforme à la théorie de la gravité quantique et de la « non-existence » temporelle.

[tonyhaddad]

Broo i like modular so much beacaus we can tested in real life and make life easier !!! ofcorse now we computers but it so intersting when we challenge our brain 😍😍

[rafiihsanalfathin]

Can you do video like this a basic olympiad theorem and how to use it, but also longer and deep?, it would help me a lot!

[Neemakukreti]

couldnt understand the first example (x^2 +3_=0(mod7)after the whole adding 7 to both sides thing. To be specific, you equaled 7 to 0, which has been defined as 7's remainder and which is not the number itself... So how can one just add ita remainder to one side, and the dividend to the other..? A reply would be much appreciated