A Collection of Problems on Complex Analysis

Author: Lev Izrailevich Volkovyski?
Publisher: Courier Corporation
ISBN: 9780486669137
Release Date: 1991
Genre: Mathematics

Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappings, integrals and power series, Laurent series, parametric integrals, integrals of the Cauchy type, analytic continuation, Riemann surfaces, much more. Answers and solutions at end of text. Bibliographical references. 1965 edition.

Complex Analysis with Applications

Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 0486647625
Release Date: 1973
Genre: Mathematics

The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.

Introductory Complex Analysis

Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 9780486318523
Release Date: 2013-04-15
Genre: Mathematics

Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

Elementary Real and Complex Analysis

Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 9780486135007
Release Date: 2012-07-31
Genre: Mathematics

DIVExcellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition. /div

Complex Variables for Scientists and Engineers

Author: John D. Paliouras
Publisher: Courier Corporation
ISBN: 9780486493473
Release Date: 2014-02-20
Genre: Mathematics

Outstanding undergraduate text provides a thorough understanding of fundamentals and creates the basis for higher-level courses. Numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises. 1990 edition.

A Complex Analysis Problem Book

Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 9783319421810
Release Date: 2016-10-26
Genre: Mathematics

This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration. Benefits of the 2nd edition Rational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded.

Complex Variables

Author: Francis J. Flanigan
Publisher: Courier Corporation
ISBN: 9780486318486
Release Date: 2013-08-16
Genre: Mathematics

Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Numerous problems and solutions. 1972 edition.

Applied Complex Variables

Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 9780486158280
Release Date: 2012-05-07
Genre: Mathematics

Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

Counterexamples in Analysis

Author: Bernard R. Gelbaum
Publisher: Courier Corporation
ISBN: 9780486134918
Release Date: 2012-07-12
Genre: Mathematics

These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.

Complex Analysis in Banach Spaces

Author: Jorge Mujica
Publisher: Courier Corporation
ISBN: 9780486474663
Release Date: 2010-03-18
Genre: Mathematics

The development of complex analysis is based on issues related to holomorphic continuation and holomorphic approximation. This volume presents a unified view of these topics in finite and infinite dimensions. A high-level tutorial in pure and applied mathematics, its prerequisites include a familiarity with the basic properties of holomorphic functions, the principles of Banach and Hilbert spaces, and the theory of Lebesgue integration. The four-part treatment begins with an overview of the basic properties of holomorphic mappings and holomorphic domains in Banach spaces. The second section explores differentiable mappings, differentiable forms, and polynomially convex compact sets, in which the results are applied to the study of Banach and Fréchet algebras. Subsequent sections examine plurisubharmonic functions and pseudoconvex domains in Banach spaces, along with Riemann domains and envelopes of holomorphy. In addition to its value as a text for advanced graduate students of mathematics, this volume also functions as a reference for researchers and professionals.

Complex Variable Methods in Elasticity

Author: A. H. England
Publisher: Courier Corporation
ISBN: 9780486153414
Release Date: 2012-05-10
Genre: Mathematics

Plane strain and generalized plane stress boundary value problems of linear elasticity are discussed as well as functions of a complex variable, basic equations of 2-dimensional elasticity, plane and half-plane problems, more. 1971 edition. Includes 26 figures.

Complex Analysis with Vector Calculus

Author: T. M. J. A. Cooray
Publisher: Alpha Science International Limited
ISBN: 1842653601
Release Date: 2006-01-01
Genre: Mathematics

Based on many years of experience of the author Complex Analysis with Vector Calculus provides clear and condensed treatment of the subject. It is primarily intended to be used by undergraduate students of engineering and science as a part of a course in engineering mathematics, where they are introduced to complex variable theory, through conceptual development of analysis. The book also introduces vector algebra, step by step, with due emphasis on various operations on vector field and scalar fields. Especially, it introduces proof of vector identities by use of a new approach and includes many examples to clarify the ideas and familiarize students with various techniques of problem solving.

An Introduction to Lebesgue Integration and Fourier Series

Author: Howard J. Wilcox
Publisher: Courier Corporation
ISBN: 0486682935
Release Date: 1994
Genre: Mathematics

This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.

Complex Variables

Author: Stephen D. Fisher
Publisher: Courier Corporation
ISBN: 9780486406794
Release Date: 1999-02-16
Genre: Mathematics

Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices.

Conformal Mapping

Author: Zeev Nehari
Publisher: Courier Corporation
ISBN: 9780486145037
Release Date: 2012-05-23
Genre: Mathematics

DIVTheoretical and practical approach covers functions of a complex variable and conformal mapping. Only prerequisite is advanced calculus. /div