Jordan's totient function

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Explores the inclusion-exclusion formula in discrete mathematics, demonstrating its applications through examples and probability scenarios.

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Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.

Explores the Chinese remainder theorem, systems of congruences, and Euclidean domains in integer numbers and polynomial rings.

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Covers Euler's totient function, group theory, homomorphisms, and group isomorphisms.

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