A Complete Solution Guide to Complex Analysis

This is a complete solution guide to all exercises in Bak and Newman's Complex Analysis . The features of this book are as follows: It covers all the 300 exercises with detailed and complete solutions. There are 34 illustrations for explaining the mathematical concepts or ideas used behind the questions or theorems. Different colors are used in order to highlight or explain problems, lemmas, remarks, main points/formulas involved, or show the steps of manipulation in some complicated proofs. (ebook only) Necessary lemmas with proofs are provided. Useful or relevant references are provided to some questions for interested readers. Untitled Preface List of Figures 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 ... Further Contour Integral Techniques Introduction 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 Index Bibliography