hw8_1 - Complex Variables Spring 2011 Exercise 1. Define f...

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Unformatted text preview: Complex Variables Spring 2011 Exercise 1. Define f (z ) = Assignment 8.1 Due October 24 √ reiθ/2 where z = reiθ with −π ≤ θ < π . Let R denote the rectangle with vertices i, −i, 2 − i and 2+ i. Use Lemma 2.3.4 to help you evaluate f (z ) dz . R Exercise 2. Let G be the region of textbook Exercise 2.3.5. Use Cauchy’s Theorem for a Rectangle to prove that if f is analytic on G and on its boundary ∂G, then f (z ) dz = 0. ∂G ...
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This note was uploaded on 02/29/2012 for the course MATH 4364 taught by Professor Ryandaileda during the Fall '11 term at Trinity University.

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