Complex analysis
Book information
Description
Complex plane and elementary functions -- Analytic functions -- Line integrals and harmonic functions -- Complex integration and analyticity -- Power series -- Laurent series and isolated singularities -- Residue calculus -- Logarithmic integral -- Schwarz Lemma and hyperbolic geometry -- Harmonic functions and the reflection principle -- Conformal mapping -- Compact families of meromorphic functions -- Approximation theorems -- Some special functions -- Dirichlet problem -- Riemann surfaces
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