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Complex Analysis

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The Complex Numbers.- Functions of the Complex Variable z.- Analytic Functions.- Line Integrals and Entire Functions.- Properties of Entire Functions.- Properties of Analytic Functions.- Further Properties of Analytic Functions.- Simply Connected Domains.- Isolated Singularities of an Analytic Function.- The Residue Theorem.- Applications of the Residue Theorem to the Evaluation of Integrals and Sums.- Further Contour Integral Techniques.- to Conformal Mapping.- The Riemann Mapping Theorem.- Maximum-Modulus Theorems for Unbounded Domains.- Harmonic Functions.- Different Forms of Analytic Functions.- Analytic Continuation; The Gamma and Zeta Functions.- Applications to Other Areas of Mathematics.

342 pages, Paperback

First published March 31, 1982

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Joseph Bak

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Profile Image for Wissam Raji.
106 reviews19 followers
December 10, 2019
A very special book on complex analysis with elementary topics being discussed from a unique perspective. The problems of the book are amazing and the solutions given at the end of the book are creatively solved. Thumbs up and recommended for undergraduates.
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