Integers: Sets, Maps, and Principles

Related lectures (27)

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Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Introduces Cartesian product and induction for proofs using integers and sets.

Covers the Euclidean algorithm for GCD calculation and algorithmic complexity analysis.

Explores the history and concepts of Number Theory, including divisibility and congruence relations.

Covers the fundamental theorem of arithmetic, focusing on equivalence and irreducibility of integers.

Introduces mathematical induction principles and applications, including inequalities, divisibility, subsets, and strong induction.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Covers number theory, division, remainder, congruence, prime numbers, integer representation, and the Euclidean algorithm.

Covers the Diffie-Hellman key exchange protocol and the ElGamal public-key cryptosystem.