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Complex Analysis

The Bright Side of Mathematics via YouTube

Overview

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This course introduces complex analysis through complex differentiability, holomorphic and entire functions, Cauchy-Riemann equations, power and Laurent series, singularities, and complex contour integration.

Syllabus

Complex Analysis - Part 1 - Introduction.
Complex Analysis - Part 2 - Complex Differentiability.
Complex Analysis - Part 3 - Complex Derivative and Examples.
Complex Analysis - Part 4 - Holomorphic and Entire Functions.
Complex Analysis - Part 5 - Total Differentiability in ℝ².
Complex Analysis - Part 6 - Cauchy-Riemann Equations.
Complex Analysis - Part 7 - Cauchy-Riemann Equations Examples.
Complex Analysis - Part 8 - Wirtinger Derivatives.
Complex Analysis - Part 9 - Power Series.
Complex Analysis - Part 10 - Uniform Convergence.
Complex Analysis - Part 11 - Power Series Are Holomorphic - Proof.
Complex Analysis - Part 12 - Exp, Cos and Sin as Power Series.
Complex Analysis - Part 13 - Complex Logarithm.
Complex Analysis - Part 14 - Powers.
Complex Analysis - Part 15 - Laurent Series.
Complex Analysis - Part 16 - Isolated Singularities.
Complex Analysis - Part 17 - Complex Integration on Real Intervals.
Complex Analysis - Part 18 - Complex Contour Integral.
Complex Analysis - Part 19 - Properties of the Complex Contour Integral.

Taught by

The Bright Side of Mathematics

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