1 - 8 of 8 Chapters
[In this chapter we will begin to see more manifestations of how the definition of the complex derivative imposes strong conditions on analytic functions. The central results are the Cauchy- Goursat theorem and the Cauchy integral formulas. Many results follow from these.]
[Suppose f(z) has an isolated singularity at z0. Then it has a Laurent series expansion around z0, that converges on the region 0 < |z — z0|< R, for some constant R > 0:
[In this chapter we give a short introduction to conformal mapping. More extensive coverage of this topic can be found in Wunsch  and Churchill and Brown .]
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