Concept
Euclidean domain
Related lectures (73)
Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes, including path object construction and fibrations.
Functions and Integers
Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.
System Equivalence
Explores system equivalence, state-space representation, transfer functions, and Euclidean rings, emphasizing unimodular matrices and their properties.
Euclidean Norm and Triangular Inequality
Explores the Euclidean norm, triangular inequality, and distance calculations in R².
Integers: Sets, Maps, and Principles
Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.
Algebraic Geometry: Rings and Bodies
Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.
Number Theory: Division, Remainder, Congruence
Covers number theory, division, remainder, congruence, prime numbers, integer representation, and the Euclidean algorithm.
Number Theory: Greatest Common Divisor and Prime Factorization
Introduces greatest common divisor, prime factorization, and the Euclidean Algorithm.
Euclidean Correlation Functions
Explores Euclidean correlation functions and the transition to real time using Wick rotation, along with a discussion on good and bad habits.
Advanced Analysis II: Length of Continuously Differentiable Paths
Explores the length of continuously differentiable paths using integrals and parametrizations.