Complex analysis nptel

  • Can I learn complex analysis without real analysis?

    Beyond mathematical maturity and these basics there isn't much needed specifically from real analysis to take on complex analysis. (In particular, the pathological cases you have to be wary of in real analysis do not appear in complex analysis.).

ABOUT THE COURSE: This is a first course in Complex Analysis focussing on holomorphic functions and its basic properties like Cauchy's theorem and residue theorems, the classification of singularities, and the maximum principle.
SyllabusThe Arithmetic, Geometric and Topological Properties of the Complex Numbers. IntroductionComplex Functions: Limits, Continuity and Differentiation.

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