Complex Numbers: Equations and Constructibility

Related lectures (27)

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Covers the properties and operations of complex numbers and their applications.

Covers the introduction to complex numbers and their properties, including historical background and norm calculation.

Explores testing invariance in polynomial equations, emphasizing solution identification and variable changes.

Covers the Fundamental Theorem of Algebra, polynomial division, and complete factorization of complex polynomials.

Covers operations on complex numbers, polar coordinates, and polynomial solutions.

Explores square roots in quadratic equations, complex numbers, Fermat prime numbers, and the Gauss-Wantzel theorem.

Explores group morphisms in complex numbers and the concept of Fermat primes.

Covers various methods for solving polynomial equations through examples.

Covers the process of determining coefficients in polynomial equations.

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.