Mathematics 185 – Intro to Complex Analysis Fall 2005 – M. Christ Problem Set 3 Please read Chapters 4 and 5 of our text. This week you are asked to solve a rather large number of mostly rather easy problems. Due Tuesday September 20: • Solve these problems from Chapter 4: 1(ii), 2 (discuss | z | only; don’t hesitate to use other material we’ve learned, besides the deﬁnition of diﬀerentiability), 5 (Don’t assume that f is a polynomial; let it be any function which is deﬁned and diﬀerentiable on any domain containing 0. Note that the domain of g may be diﬀerent from the domain of f .), 6(i), 7(iv), 8, 13, 14, 16.
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