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Complex Analysis - Integrals in the Complex Plane

Steve Brunton via YouTube

Overview

Explore contour integration of functions in the complex plane in this comprehensive lecture. Delve into key concepts including Cauchy-Goursat Theorem, Green's Theorem, and the Fundamental Theorem. Learn about continuous deformation, integral theorems, and integration around unusual singularities. Gain insights into the ML bound and its applications in complex analysis. Enhance your understanding of advanced mathematical techniques essential for engineering, physics, and applied mathematics.

Syllabus

Introduction
Koshi Gorsa Theorem
Greens Theorem
Fundamental Theorem
Continuous Deformation
Integral Integral Theorem
Integral around weird singularities
The ml bound

Taught by

Steve Brunton

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