Complex Numbers: Lines in the Complex Plane

Related lectures (30)

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Introduces complex numbers to solve unsolvable equations, exploring their properties and relationship with real numbers.

Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.

Covers the polar form of complex numbers and its applications in mathematical calculations.

Explores complex number properties, roots, and polynomial equations in the complex plane.

Covers the analytical extension of the Gamma function to real and complex numbers, discussing properties and convergence.

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

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Covers solving complex number equations with discriminants and exploring roots.

Covers the manipulation of algebraic laws on complex numbers.