Applied Functions Of A Complex Variable
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Applied Functions Of A Complex Variable
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Author : A. Kyrala
language : en
Publisher: John Wiley & Sons
Release Date : 1972
Applied Functions Of A Complex Variable written by A. Kyrala and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.
Complex numbers and direct applications -- Functions of a complex variable -- Infinite series -- Cauchy's theorem -- Cauchy integral theorem -- Laurent series and residue theorem -- Singularities and analytical continuation -- Conformal mapping -- Laplace and Fourier transforms -- Infinite product and rational fraction expansions -- Dispersion relations -- Elliptic functions and integrals -- Differential equations and special functions -- Table 1. Laplace transforms -- Table 2. Fourier transforms -- Table 3. Conformal mapping -- Appendix A. Riemann mapping -- Appendix B. Green's theorem in the plane -- Appendix C. Phragmén-Lindelöf theorems.
Functions Of A Complex Variable
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Author : George F. Carrier
language : en
Publisher: SIAM
Release Date : 2005-01-01
Functions Of A Complex Variable written by George F. Carrier and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.
Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic solutions. The book makes available to readers a comprehensive range of these analytical techniques based upon complex variable theory. Advanced topics covered include asymptotics, transforms, the Wiener-Hopf method, and dual and singular integral equations. The authors provide many exercises, incorporating them into the body of the text. Audience: intended for applied mathematicians, scientists, engineers, and senior or graduate-level students who have advanced knowledge in calculus and are interested in such subjects as complex variable theory, function theory, mathematical methods, advanced engineering mathematics, and mathematical physics.
Applied Complex Variables
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Author : John W. Dettman
language : en
Publisher: Courier Corporation
Release Date : 2012-05-07
Applied Complex Variables written by John W. Dettman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-07 with Mathematics categories.
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.
Complex Variables
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Author : Joseph L. Taylor
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Complex Variables written by Joseph L. Taylor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Functions of complex variables categories.
"The text covers a broad spectrum between basic and advanced complex variables on the one hand and between theoretical and applied or computational material on the other hand. With careful selection of the emphasis put on the various sections, examples, and exercises, the book can be used in a one- or two-semester course for undergraduate mathematics majors, a one-semester course for engineering or physics majors, or a one-semester course for first-year mathematics graduate students. It has been tested in all three settings at the University of Utah. The exposition is clear, concise, and lively. There is a clean and modern approach to Cauchy's theorems and Taylor series expansions, with rigorous proofs but no long and tedious arguments. This is followed by the rich harvest of easy consequences of the existence of power series expansions. Through the central portion of the text, there is a careful and extensive treatment of residue theory and its application to computation of integrals, conformal mapping and its applications to applied problems, analytic continuation, and the proofs of the Picard theorems. Chapter 8 covers material on infinite products and zeroes of entire functions. This leads to the final chapter which is devoted to the Riemann zeta function, the Riemann Hypothesis, and a proof of the Prime Number Theorem." -- Publisher.
Applied Complex Variables For Scientists And Engineers
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Author : Yue Kuen Kwok
language : en
Publisher: Cambridge University Press
Release Date : 2002-02-07
Applied Complex Variables For Scientists And Engineers written by Yue Kuen Kwok and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-07 with Mathematics categories.
This is an introduction to complex variable methods for scientists and engineers. It begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. One feature that will appeal to scientists is the high proportion of the book devoted to applications of the material to physical problems. These include detailed treatments of potential theory, hydrodynamics, electrostatics, gravitation and the uses of the Laplace transform for partial differential equations. The text contains some 300 stimulating exercises of high quality, with solutions given to many of them. It will be highly suitable for students wishing to learn the elements of complex analysis in an applied context.
Complex Variables And Analytic Functions An Illustrated Introduction
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Author : Bengt Fornberg
language : en
Publisher: SIAM
Release Date : 2019-12-23
Complex Variables And Analytic Functions An Illustrated Introduction written by Bengt Fornberg and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-23 with Mathematics categories.
At almost all academic institutions worldwide, complex variables and analytic functions are utilized in courses on applied mathematics, physics, engineering, and other related subjects. For most students, formulas alone do not provide a sufficient introduction to this widely taught material, yet illustrations of functions are sparse in current books on the topic. This is the first primary introductory textbook on complex variables and analytic functions to make extensive use of functional illustrations. Aiming to reach undergraduate students entering the world of complex variables and analytic functions, this book utilizes graphics to visually build on familiar cases and illustrate how these same functions extend beyond the real axis. It covers several important topics that are omitted in nearly all recent texts, including techniques for analytic continuation and discussions of elliptic functions and of Wiener–Hopf methods. It also presents current advances in research, highlighting the subject’s active and fascinating frontier. The primary audience for this textbook is undergraduate students taking an introductory course on complex variables and analytic functions. It is also geared toward graduate students taking a second semester course on these topics, engineers and physicists who use complex variables in their work, and students and researchers at any level who want a reference book on the subject.
Functions Of A Complex Variable And Some Of Their Applications
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Author : B. A. Fuchs
language : en
Publisher: Elsevier
Release Date : 2014-08-01
Functions Of A Complex Variable And Some Of Their Applications written by B. A. Fuchs and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-01 with Mathematics categories.
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.
Applied Complex Analysis
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Author : Rakesh Kumar Pandey
language : en
Publisher: Discovery Publishing House
Release Date : 2010
Applied Complex Analysis written by Rakesh Kumar Pandey and has been published by Discovery Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Equations of motion categories.
This book as a supplement for the physical science or engineering calculus. It can equally well be used in the mathematical methods for scientists and engineers. The subject is traditionally called Applied Complex Analysis. Contents: Differentiation of Complex Functions, Integration of Complex Functions, Cauchy Integral Theorem, Contour Integration, Taylor and Laurent Series, Calculus of Residues, Evaluation of Integrals and Series, Conformal Mapping, Application of Conformal Mapping.
Functions Of A Complex Variable
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Author : E.G. Phillips
language : en
Publisher: Courier Dover Publications
Release Date : 2020-04-15
Functions Of A Complex Variable written by E.G. Phillips and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-15 with Mathematics categories.
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.
Introduction To Functions Of A Complex Variable
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Author : J. H. Curtiss
language : en
Publisher: CRC Press
Release Date : 2021-07-28
Introduction To Functions Of A Complex Variable written by J. H. Curtiss and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-28 with Mathematics categories.
This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their application to the Cauchy theory. It is intended for an introductory course in complex analysis at the first-year graduate and advanced undergraduate level.