Complex Analysis

Imperial College London (ICL)

Here are the best resources to pass Complex Analysis. Find Complex Analysis study guides, notes, assignments, and much more.

Mary L. Boas

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Lecture notes

Lecture Notes Complex Analysis (for first-year Physics)
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August 2026

2025/2026
My complete Complex Analysis module notes from lectures for first-year university Physics. I've separated it into four sections: Functions of Complex Variables, 1st order ODEs, 2nd order ODEs, and applications (to resonance and motion in the Argand plane. At large the topics covered include: De Moivre's theorem, complex powers, the complex exponential, complex logarithm, analytic functions f(z). 3 methods to solve 1st order ODEs. Solving homogeneous and inhomogeneous 2nd order ODEs (ordin...
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