hw12 - that the equation e z = az n has n solutions in the...

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Mathematics 185 – Intro to Complex Analysis Fall 2005 – M. Christ Problem Set 12 Read the last part of Chapter 12, about counting and locating zeros, if you have not already done so. Due Thursday December 1: Solve these problems from Chapter 12: 21, 22(i) (apply Rouch´ e’s theorem with f ( z ) = - 8 z ), 22(iii), 23. In problem 21, the word “root” is a synonym of “solution”; you’re asked to show
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Unformatted text preview: that the equation e z = az n has n solutions in the specied region. Go over the solutions for problem set 11 until you understand the steps and feel able to apply their solutions to similar problems on the nal exam....
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This note was uploaded on 07/31/2009 for the course MATH 185 taught by Professor Lim during the Spring '07 term at University of California, Berkeley.

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