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Complex Integration, Cauchy and Residue Theorems - Essence of Complex Analysis

Mathemaniac via YouTube

Overview

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This course offers an intuitive introduction to complex integration using Pólya vector fields, then develops Cauchy’s theorem, the Cauchy integral formula, and the residue theorem. It assumes familiarity with related concepts such as complex differentiation and Cauchy-Riemann equations.

Syllabus

Complex integration (first try).
Pólya vector field.
Complex integration (second try).
Cauchy's theorem.
Integrating 1/z.
Other powers of z.
Cauchy integral formula.
Residue theorem.
But why?.

Taught by

Mathemaniac

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