This book is based on the teaching experience of the authors, and therefore some of the topics are presented in a new form. For instance, the multi-valued properties of the argument function are discussed in detail so that the beginner may readily grasp the elementary multi-valued analytic functions. The residue theorem is extended to the case where poles of analytic functions considered may occur on the boundary of a region - which is very useful in applications but not seen in textbooks written in English.
Complex numbers and complex functions; fundamentals of analytic functions; complex integrals; theory of series for analytic functions; theory of residue; analytic extension; conformal mapping; harmonic functions; analytic functions applied to planar flow.
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- ID: 9789812380470
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