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Functions of a Complex Variable and Some of Their Applications: International Series of Monographs on Pure and Applied Mathemati

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by B. A. Fuchs & B. V. Shabat
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Functions of a Complex Variable and Some of Their Applications: International Series of Monographs on Pure and Applied Mathemati by B. A. Fuchs & B. V. Shabat

Functions of a Complex Variable and Some of Their Applications, Volume 1, discusses the fundamental ideas of the theory of functions of a complex variable. The book is the result of a complete rewriting and revision of a translation of the second (1957) Russian edition. Numerous changes and additions have been made, both in the text and in the solutions of the Exercises.
The book begins with a review of arithmetical operations with complex numbers. Separate chapters discuss the fundamentals of complex analysis; the concept of conformal transformations; the most important of the elementary functions; and the complex potential for a plane vector field and the application of the simplest methods of function theory to the analysis of such a field. Subsequent chapters cover the fundamental apparatus of the theory of regular functions, i.e. basic integral theorems and expansions in series; the general concept of an analytic function; applications of the theory of residues; and polygonal domain mapping.
This book is intended for undergraduate and postgraduate students of higher technical institutes and for engineers wishing to increase their knowledge of theory.

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Ebook Details
Pages: 458
Size: 36.0 MB
Publisher: Pergamon
Date published:   2014
ISBN: 9781483155050 (DRM-PDF)

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05/26/2017
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