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Complex Numbers: Equations and Constructibility
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Related lectures (32)
Complex Numbers: Operations and Applications
Explores complex number properties, roots, and polynomial equations in the complex plane.
Roots of n-th Degree
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Covers the concept of roots of n-th degree in complex numbers and their exact solutions.
Complex Polynomials and Factorization
Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.
Polynomial Roots: Finding Solutions and Division
Explains how to find solutions for polynomial equations and perform polynomial division.
Tests of Invariance in Polynomial Equations
Explores testing invariance in polynomial equations, emphasizing solution identification and variable changes.
Factorisation: The Fundamental Theorem of Algebra
Covers the Fundamental Theorem of Algebra, polynomial division, and complete factorization of complex polynomials.
Polynomial Equations: Solving Methods
Covers various methods for solving polynomial equations through examples.
Complex Roots: Conjugate Pairs and Quadratic Equations
Explores complex roots, conjugate pairs, and quadratic equations solving strategies.
Polynomial Equations
Covers the topic of polynomial equations and methods to solve them.
The Fundamental Theorem of Algebra
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.
Polynomial Equations: Solutions and Elimination
Covers the solutions of polynomial equations and the concept of logarithms.
Polynomials: Definitions and Operations
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Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.
Complex Roots and Polynomials
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Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Intersection Numbers: Algebraic Counting Solutions
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Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.
Sequences: Definitions and Examples
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Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.
Complex Numbers: Gauss-Wantzel Theorem
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Covers the Gauss-Wantzel Theorem and Fermat prime numbers.
Complex Numbers: Definitions and Applications
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Explores complex numbers, arguments, modules, and polynomial equations with complex coefficients.
Complex Numbers: Operations and Applications
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Covers the properties and operations of complex numbers and their applications.
Complex Numbers: Introduction and Properties
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Covers the introduction to complex numbers and their properties, including historical background and norm calculation.
Complex Numbers: Operations, Polar Form, and Solutions
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Covers operations on complex numbers, polar coordinates, and polynomial solutions.
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