MAT 535 Complex Analysis
(last update 9/5/19, 10:15 pm)
Problem Set 1 will consist of the three remaining problems from the first section: 1.8, 1.9, and 1.10, along with 1.2.8. I will circulate a pdf Friday morning, and there will be a solutions template in LaTeX for students to use to write up their solutions, if desired. (One fairly painless way to do that is to open a free account at overleaf.com, and copy-paste my file into a new document there.) It will be due Monday afternoon by 5:00 pm.
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Exercises (from the text Complex Analysis, by Serge Lang)
1.1 / 1(a),(c), (h), 2(c),(f),3,4,6,7,8,9,10.
1.2 / 1(a),(e),(f), 2(a),(e),(f), 4,5,7,9,10,11,12,13.
1.3 / 1,2,3,4.
1.4 / 1,2,3,4,5*,6. (* the condition |z| \neq 1 guarantees that 1 +z^n \neq 0 for all n, for any z.)