Applied Complex Variables

Author: John W. Dettman

Publisher: Courier Corporation

ISBN: 0486158284

Category: Mathematics

Page: 512

View: 5667

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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.
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Introductory Complex Analysis

Author: Richard A. Silverman

Publisher: Courier Corporation

ISBN: 0486318524

Category: Mathematics

Page: 400

View: 8837

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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.
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Complex Variables

Harmonic and Analytic Functions

Author: Francis J. Flanigan

Publisher: Courier Corporation

ISBN: 0486613887

Category: Mathematics

Page: 353

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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.
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A Collection of Problems on Complex Analysis

Author: Lev Izrailevich Volkovyski?,Grigori? L?vovich Lunt?s?,Isaak Genrikhovich Aramanovich,J. Berry,T. Kovari

Publisher: Courier Corporation

ISBN: 0486669130

Category: Mathematics

Page: 426

View: 4811

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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.
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Complex Variables and the Laplace Transform for Engineers

Author: Wilbur R. LePage

Publisher: Courier Corporation

ISBN: 0486136442

Category: Technology & Engineering

Page: 512

View: 5096

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Acclaimed text on engineering math for graduate students covers theory of complex variables, Cauchy-Riemann equations, Fourier and Laplace transform theory, Z-transform, and much more. Many excellent problems.
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Complex Variables

Second Edition

Author: Stephen D. Fisher

Publisher: Courier Corporation

ISBN: 0486134849

Category: Mathematics

Page: 448

View: 6596

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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.
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Elementary Theory of Analytic Functions of One Or Several Complex Variables

Author: Henri Cartan

Publisher: Courier Corporation

ISBN: 0486685438

Category: Mathematics

Page: 226

View: 358

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Basic treatment of the theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic. Also included is a theory of abstract complex manifolds of one complex dimension; holomorphic functions; Cauchy's integral, more. Exercises. 1973 edition.
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Functions of a Complex Variable

Author: E.G. Phillips

Publisher: Courier Dover Publications

ISBN: 0486841944

Category: Mathematics

Page: 160

View: 3448

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This concise text on the functions of a complex variable provides the basics on a number of important topics, including conformal representation, complex integral calculus, and calculus of residues. 1957 edition.
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Complex Analysis in Banach Spaces

Author: Jorge Mujica

Publisher: Courier Corporation

ISBN: 0486474666

Category: Mathematics

Page: 440

View: 4111

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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.
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Complex Analysis with Applications

Author: Richard A. Silverman

Publisher: Courier Corporation

ISBN: 9780486647623

Category: Mathematics

Page: 274

View: 2724

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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.
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