Title: Functions of a Complex Variable and Some of Their Applications: International Series of Monographs on Pure and Applied Mathematics [Paperback] [Sep 13, 2014] Fuchs, B. A.; Shabat, B. V.; Sneddon, I. N. and Ulam, S.
Publisher: Pergamon
Publication Date: 2014
Language: English
ISBN 10: 1483122638
ISBN 13: 9781483122632
Binding: Soft cover
Condition: Good

About this title

Synopsis

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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