COMPLEX ANALYSIS

Catalog description

Complex numbers and the complex plane; powers and roots. Limits, continuity, and derivatives. Analytic functions; properties and examples. Complex integration; the Cauchy-Goursat theorem, and the Cauchy integral formula; consequences. Taylor series and Laurent series; regions of convergence; examples. Singularities, and the Residue theorem. Applications of residues. Conformal mapping; examples.