Concept
Algebraic number
Related lectures (72)
Algebraic Fields: Transcendence Degree
Explores transcendence degree in algebraic fields and classical analytic functions.
Algebraic Geometry
Covers the fundamentals of algebraic geometry, including algebraic numbers and irreducible polynomials.
Hensel's Lemma and Field Theory
Covers the proof of Hensel's Lemma and a review of field theory, including Newton's approximation and p-adic complex numbers.
Integer Factorization: Quadratic Sieve
Explores integer factorization using the quadratic sieve method and the challenges of working with algebraic number fields.
Signal Representations
Covers matrix operations, Fourier transformations, Gaussian models, and signal representations using algebraic methods.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Completion of a Field: Algebraic Closure
Covers the completion of a field, focusing on algebraic closure and function convergence.
Complex Numbers: Gauss-Wantzel Theorem
Covers the Gauss-Wantzel Theorem and Fermat prime numbers.
Euclidean Geometry: Operations and Constructions
Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.
Algebraic Extensions
Explores algebraic extensions, constructions, irreducible polynomials, autonomous constructions, and cutting compositions.