Lecture
Finite Fields: Properties and Applications
Related lectures (80)
Factorisation: Real Coefficients Examples
Covers the factorization of polynomials with real coefficients in the complex domain, demonstrating how to find complex roots and obtain irreducible factors.
Complex Factorization Examples
Explores complex polynomial factorization examples, demonstrating the process and implications of complex roots in real polynomials.
Field Properties: Irreducibility and Units
Covers the properties of fields, including irreducibility and units in polynomials.
Local Degrees: Calculating Maps
Delves into local degrees of continuous maps from the sphere, showcasing their role in calculating map degrees.
Euclidean Algorithm
Explains the Euclidean algorithm for polynomials over a field K, illustrating its application with examples.
Polynomials: Theory and Operations
Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.
Algebraic Expressions
Covers algebraic expressions, operations, factorization, and equation solving.
Equations du premier ordre: Particular Solutions
Explains how to find particular solutions for first-order differential equations using different types of functions.
Development Limit: Order 1 and 2
Covers limited order 1 and 2 development, focusing on linearity and polynomial approximation.
Factorisation: The Fundamental Theorem of Algebra
Covers the Fundamental Theorem of Algebra, polynomial division, and complete factorization of complex polynomials.