Algebraic number theory

Related lectures (29)

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

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

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

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

Covers basic properties of natural numbers, including order relations and inverses.

Covers the properties of division in integers and the relationship between divisibility and unique quotients.

Covers the rules of calculation for powers, roots, and more, focusing on positive numbers and integers.

Covers fundamental concepts related to integers, including properties of well-ordered sets and the principle of induction.

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

Covers absolute value, subtraction in integers, and comparisons between integers.