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.

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.

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.

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.

Introduction to Analysis

Author: Maxwell Rosenlicht
Publisher: Courier Corporation
ISBN: 9780486134680
Release Date: 2012-05-04
Genre: Mathematics

Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.

Introductory Real Analysis

Author: A. N. Kolmogorov
Publisher: Courier Corporation
ISBN: 9780486134741
Release Date: 2012-04-25
Genre: Mathematics

Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, more. 1970 edition.

Complex Variables

Author: Francis J. Flanigan
Publisher: Courier Corporation
ISBN: 9780486613888
Release Date: 1972
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.

Introduction to Complex Analysis

Author: H. A. Priestley
Publisher: OUP Oxford
ISBN: 9780191037207
Release Date: 2003-08-28
Genre: Mathematics

Complex analysis is a classic and central area of mathematics, which is studied and exploited in a range of important fields, from number theory to engineering. Introduction to Complex Analysis was first published in 1985, and for this much awaited second edition the text has been considerably expanded, while retaining the style of the original. More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter. This is the latest addition to the growing list of Oxford undergraduate textbooks in mathematics, which includes: Biggs: Discrete Mathematics 2nd Edition, Cameron: Introduction to Algebra, Needham: Visual Complex Analysis, Kaye and Wilson: Linear Algebra, Acheson: Elementary Fluid Dynamics, Jordan and Smith: Nonlinear Ordinary Differential Equations, Smith: Numerical Solution of Partial Differential Equations, Wilson: Graphs, Colourings and the Four-Colour Theorem, Bishop: Neural Networks for Pattern Recognition, Gelman and Nolan: Teaching Statistics.

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: CORNELL:31924107146288
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.

Visual Complex Analysis

Author: Tristan Needham
Publisher: Oxford University Press
ISBN: 0198534469
Release Date: 1998
Genre: Mathematics

Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.

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.

Theory of Functions of a Real Variable

Author: I.P. Natanson
Publisher: Courier Dover Publications
ISBN: 9780486806433
Release Date: 2016-08-17
Genre: Mathematics

Long out-of-print volume by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable. Intended for advanced undergraduates and graduate students of mathematics. 1955 and 1960 editions.

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.

General Theory of Functions and Integration

Author: Angus Ellis Taylor
Publisher: Courier Corporation
ISBN: 9780486649887
Release Date: 1985
Genre: Mathematics

Uniting a variety of approaches to the study of integration, a well-known professor presents a single-volume "blend of the particular and the general, of the concrete and the abstract." 1966 edition.