Congruences & Modular Arithmetic ← Number Theory
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Numbers can be grouped into congruence classes based on remainders when divided by a positive integer (modulus). Congruences are represented with the symbol "≡," and two numbers are considered congruent if their difference is a multiple of the modulus.
In this video, we provide examples of congruences, both true and false, and show how to check them using the subtraction and division method. We also introduces the concept of modular arithmetic (explained visually with "clock arithmetic," and the notation for congruences, such as "A ≡ B mod n."
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Written & Produced by Michael Harrison
Edited by Megi Shuke
About our Instructor:
Michael earned his BS in Math from Caltech, and did his graduate work in Math at UC Berkeley and University of Washington, specializing in Number Theory. A self-taught programmer, Michael taught both Math and Computer Programming at the college level. He applied this knowledge as a financial analyst (quant) and as a programmer at Google.
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