Polynomials on a Field: Basics and Operations

Related lectures (32)

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Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Explores the properties and applications of finite fields, including isomorphism and cyclic properties.

Covers irreducible polynomials, fundamental theorem of algebra, and factorization in complex and real polynomials.

Explores real functions, covering parity, periodicity, and polynomial functions.

Explores limits, continuity, and function compositions in mathematics.

Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.

Covers polynomials, their operations, division theorem, and provides illustrative examples.

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Explores the implicit function theorem and Taylor polynomials in differential equations.

Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.