Browse Hierarchy MTH5103: Complex Variables

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The integral and differential properties of functions of a complex variable. Complex differentiation, Cauchy-Riemann equations, harmonic functions. Sequences and series, Taylor and Laurent series, singularities and residues. Complex integration, Cauchy's theorem and consequences, Cauchy's integral formula and related theorems. The residue theorem and applications to evaluation of integrals and summation of series. Conformal transformations.

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