*Solution Manual of Elias M.Stein, Rami Shakarchi:
SOLUTIONS/HINTS TO THE EXERCISES FROM COMPLEX ANALYSIS BY STEIN AND SHAKARCHI 3 Solution 3.zn= seiφ implies that z= s1n ei(φ +2πik), where k= 0,1,n− 1 and s1 n is the real nth root of the positive number s. There are nsolutions as there should be since we are finding the roots of a degree npolynomial in the algebraically closed. And the textbook is Complex Analysis by Stein and Shakarchi (ISBN13: 978-0-691-11385-2). Note to students: it’s nice to include the statement of the problems, but I leave that up to you. I am only skimming the solutions. I will occasionally add some comments or mention alternate solutions. Stein and shakarchi complex analysis solutions pdf Trainer: Malabika Pramanik Office: 214 Math building email: malabika in math point ubc dot ca lectures: Mon,Wed,Friday 11:00 am to 12:00 pm in room 105 of the mathematics building. Opening hours: Wed, Friday 12-1pm or by appointment.
ex1:————————————————–
please check 2012f_Lebesgue-integrals_Lecture-note
also you can take a look at these proofs:
ex2:————————————————–
part1: exercise2
part2:exercise2
ex3:————————————————–
also you can use Corollary 1.2 in 2012f_Lebesgue-integrals_Lecture-note.
for the second part try to use Theorem 1.8 in 2012f_Lebesgue-integrals_Lecture-note.
ex4:————————————————–
Solutions To Complex Analysis Pdf
part1:exercise4p1
for second and third part check Solution Manual of Elias M.Stein, Rami Shakarchi page 4
ex5:————————————————–
ex6:————————————————–
hint:
ex8:————————————————–
similar to part Solution Manual of Elias M.Stein, Rami Shakarchi page 7
ex14:————————————————–
Complex Analysis Solution
ex15:————————————————–
ex16:————————————————–
Stein And Shakarchi Complex Analysis
check Solution Manual of Elias M.Stein, Rami Shakarchi page 9