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Complex Analysis - Integrals in the Complex Plane

Offered By: Steve Brunton via YouTube

Tags

Complex Analysis Courses Green's Theorem Courses Fundamental Theorem of Calculus Courses

Course Description

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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