Concept

Algebraic integer

Related lectures (30)

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

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

Covers the advanced counting topic of distinct n-duples of integers.

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

Explains the importance of parentheses in simplifying mathematical operations and notations.

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

Covers addition properties and operations in the set of integers Z.

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

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

Covers the properties of subtraction and the distributivity of multiplication.

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

Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.

Introduces Pollard's rho method for the discrete log problem and finding collisions efficiently in a cyclic group.

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Covers bitwise operators for integers and representing colors using 32-bit integers.

Covers the binary representation of integers, including positive and negative numbers.

Explores Gaussian integers, prime factorization, and number theory concepts related to prime numbers.

Explains mathematical induction for proving propositions true for all positive integers.

Covers binary representation, two's complement, overflow detection, and operations in MIPS for computer arithmetic with integers.