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.

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.

A Second Course in Complex Analysis

Author: William A. Veech
Publisher: Courier Corporation
ISBN: 9780486151939
Release Date: 2014-08-04
Genre: Mathematics

Geared toward upper-level undergraduates and graduate students, this clear, self-contained treatment of important areas in complex analysis is chiefly classical in content and emphasizes geometry of complex mappings. 1967 edition.

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.

Complex Variables

Author: Robert B. Ash
Publisher: Courier Corporation
ISBN: 9780486462509
Release Date: 1971
Genre: Mathematics

This text on complex variables is geared toward graduate students and undergraduates who have taken an introductory course in real analysis. It is a substantially revised and updated edition of the popular text by Robert B. Ash, offering a concise treatment that provides careful and complete explanations as well as numerous problems and solutions. An introduction presents basic definitions, covering topology of the plane, analytic functions, real-differentiability and the Cauchy-Riemann equations, and exponential and harmonic functions. Succeeding chapters examine the elementary theory and the general Cauchy theorem and its applications, including singularities, residue theory, the open mapping theorem for analytic functions, linear fractional transformations, conformal mapping, and analytic mappings of one disk to another. The Riemann mapping theorem receives a thorough treatment, along with factorization of analytic functions. As an application of many of the ideas and results appearing in earlier chapters, the text ends with a proof of the prime number theorem.

Modern Real and Complex Analysis

Author: Bernard R. Gelbaum
Publisher: University of Texas Press
ISBN: 0471107158
Release Date: 1995-05-01
Genre: Mathematics

Modern Real and Complex Analysis Thorough, well–written, and encyclopedic in its coverage, this text offers a lucid presentation of all the topics essential to graduate study in analysis. While maintaining the strictest standards of rigor, Professor Gelbaum′s approach is designed to appeal to intuition whenever possible. Modern Real and Complex Analysis provides up–to–date treatment of such subjects as the Daniell integration, differentiation, functional analysis and Banach algebras, conformal mapping and Bergman′s kernels, defective functions, Riemann surfaces and uniformization, and the role of convexity in analysis. The text supplies an abundance of exercises and illustrative examples to reinforce learning, and extensive notes and remarks to help clarify important points.

Geometry of Complex Numbers

Author: Hans Schwerdtfeger
Publisher: Courier Corporation
ISBN: 9780486135861
Release Date: 2012-05-23
Genre: Mathematics

Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

Fourier Analysis in Several Complex Variables

Author: Leon Ehrenpreis
Publisher: Courier Corporation
ISBN: 9780486153032
Release Date: 2011-11-30
Genre: Mathematics

Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. 1970 edition.

A Complex Analysis Problem Book

Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 9783319421810
Release Date: 2016-11-27
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.

Problems and Solutions for Complex Analysis

Author: Rami Shakarchi
Publisher: Springer Science & Business Media
ISBN: 9781461215349
Release Date: 2012-12-06
Genre: Mathematics

All the exercises plus their solutions for Serge Lang's fourth edition of "Complex Analysis," ISBN 0-387-98592-1. The problems in the first 8 chapters are suitable for an introductory course at undergraduate level and cover power series, Cauchy's theorem, Laurent series, singularities and meromorphic functions, the calculus of residues, conformal mappings, and harmonic functions. The material in the remaining 8 chapters is more advanced, with problems on Schwartz reflection, analytic continuation, Jensen's formula, the Phragmen-Lindeloef theorem, entire functions, Weierstrass products and meromorphic functions, the Gamma function and Zeta function. Also beneficial for anyone interested in learning complex analysis.

Complex Variables

Author: A. K. Kapoor
Publisher: World Scientific
ISBN: 9789814313520
Release Date: 2011
Genre: Mathematics

This textbook introduces the theory of complex variables at undergraduate level. A good collection of problems is provided in the second part of the book. The book is written in a user-friendly style that presents important fundamentals a beginner needs to master the technical details of the subject. Similarly, teachers can also adopt the text for a course on complex variables and for mining problems. The organization of problems into focused sets is an important feature of the book.