Category
Algebraic number theory
Related lectures (31)
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
Integers and Rings
Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.
Elementary Algebra: Numeric Sets
Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.
Shor's algorithm: factoring integers
Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.
Basic PropertiesMOOC: Analyse I
Covers basic properties of natural numbers, including order relations and inverses.
Properties of Division
Covers the properties of division in integers and the relationship between divisibility and unique quotients.
Powers, Roots, etc.: Calculation RulesMOOC: Analyse I
Covers the rules of calculation for powers, roots, and more, focusing on positive numbers and integers.
Integers: Elementary Concepts
Covers fundamental concepts related to integers, including properties of well-ordered sets and the principle of induction.
Mathematical Induction: Basics and Applications
Introduces mathematical induction principles and applications, including inequalities, divisibility, subsets, and strong induction.
Subtraction: Absolute Value and Opposite
Covers absolute value, subtraction in integers, and comparisons between integers.