Complex Integration, Cauchy and Residue Theorems - Essence of Complex Analysis
Mathemaniac via YouTube
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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