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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Yes, you can access Functions of a Complex Variable and Some of Their Applications by B. A. Fuchs,B. V. Shabat, I. N. Sneddon,S. Ulam in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Pergamon

Year

2014

ISBN

9781483155050

Topic

Mathematics

Subtopic

Mathematics General

Index

Mathematics

Front Cover
Functions of a Complex Variable and some of their applications
Copyright Page
Table of Contents
From the foreword to the first edition
Foreword to the English edition
INTRODUCTION
CHAPTER 1. THE FUNDAMENTAL IDEAS OF COMPLEX ANALYSIS
CHAPTER 2. CONFORMAL MAPPINGS
CHAPTER 3. ELEMENTARY FUNCTIONS
CHAPTER 4. APPLICATIONS TO THE THEORY OF PLANE FIELDS
CHAPTER 5. THE INTEGRAL REPRESENTATION OF A REGULAR FUNCTION. HARMONIC FUNCTIONS
CHAPTER 6. REPRESENTATION OF REGULAR FUNCTIONS BY SERIES
CHAPTER 7. APPLICATIONS OF THE THEORY OF RESIDUES
CHAPTER 8. MAPPING OF POLYGONAL DOMAINS
ANSWERS AND HINTS FOR SOLUTION OF EXERCISES
INDEX