Titlebook: Complex Analysis; Joseph Bak,Donald J. Newman Textbook 2010Latest edition Springer Science+Business Media, LLC 2010 Analysis.Complex analy

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Applications to Other Areas of Mathematics,ied to an infinite system of (real) equations. Generating functions are also the key to the four different problems in number theory that comprise section 19.4. Finally, in section 19.5, we offer a well-trimmed analytic proof of the prime number theorem based on properties of the Zeta function and another Dirichlet series.

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0172-6056 of its derivative. Aseries of new results relate to the mapping properties of analytic functions. Arevised proof of Theorem 6.15 leads naturally to a discussion of the connection between critical points and sa978-1-4614-2636-3978-1-4419-7288-0Series ISSN 0172-6056 Series E-ISSN 2197-5604

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The Complex Numbers,th complex numbers in solving quadratic and cubic equations. In the 18th century, functions involving complex numberswere found by Euler to yield solutions to differential equations. As more manipulations involving complex numbers were tried, it became apparent that many problems in the theory of re

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