2. Use Cauchy's residue theorem (Sec. 76) to evaluate the integral of each of these functions around the circle |z| = 3 in the positive sense: exp(-z) (a) (b) z² exp(-z) (z − 1)2; (c) z² exp P(²); (d) z+1 z² - 2z Ans. (a) -2лi; (b) -2лi/e; (c) лi/3; (d) 2лi.
2. Use Cauchy's residue theorem (Sec. 76) to evaluate the integral of each of these functions around the circle |z| = 3 in the positive sense: exp(-z) (a) (b) z² exp(-z) (z − 1)2; (c) z² exp P(²); (d) z+1 z² - 2z Ans. (a) -2лi; (b) -2лi/e; (c) лi/3; (d) 2лi.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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