Applications of the residue theorem, Montel's theorem, Cauchy-estimates, solutions to d-bar ... The course gives an introduction to classical results in function theory of the complex plane, and an ...

This course gives an introduction to the theory of functions of one complex variable ... isolated singularities, Cauchy´s integral theorem and residue calculus, the maximum principle, Schwarz lemma, ...

Elementary logic and set theory, number systems (including integers, rationals, reals and complex numbers), bounds ... operators and vector operator identities. Line integrals, double integrals, Green ...