Applied Complex Variables

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Applied Complex Variables
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Author : John Warren Dettman
language : en
Publisher: Courier Corporation
Release Date : 1965-01-01
Applied Complex Variables written by John Warren 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 1965-01-01 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.
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.
Applied Complex Analysis With Partial Differential Equations
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Author : Nakhlé H. Asmar
language : en
Publisher:
Release Date : 2002
Applied Complex Analysis With Partial Differential Equations written by Nakhlé H. Asmar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This reader-friendly book presents traditional material using a modern approach that invites the use of technology. Abundant exercises, examples, and graphics make it a comprehensive and visually appealing resource. Chapter topics include complex numbers and functions, analytic functions, complex integration, complex series, residues: applications and theory, conformal mapping, partial differential equations: methods and applications, transform methods, and partial differential equations in polar and spherical coordinates. For engineers and physicists in need of a quick reference tool.
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 Mathematics 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.
Introduction To Complex Variables And Applications
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Author : Mark J. Ablowitz
language : en
Publisher: Cambridge University Press
Release Date : 2021-03-25
Introduction To Complex Variables And Applications written by Mark J. Ablowitz 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 2021-03-25 with Mathematics categories.
An introduction to complex variables that caters for undergraduate students in applied mathematics, science, and engineering.
Complex Variables With Applications
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Author : Saminathan Ponnusamy
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-26
Complex Variables With Applications written by Saminathan Ponnusamy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-26 with Mathematics categories.
Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills Encludes numerous examples and applications relevant to science and engineering students
Complex Analysis
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Author : John M. Howie
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-05-28
Complex Analysis written by John M. Howie and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-28 with Mathematics categories.
Complex analysis can be a difficult subject and many introductory texts are just too ambitious for today’s students. This book takes a lower starting point than is traditional and concentrates on explaining the key ideas through worked examples and informal explanations, rather than through "dry" theory.
Applied And Computational Complex Analysis Volume 1
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Author : Peter Henrici
language : en
Publisher: John Wiley & Sons
Release Date : 1988-02-23
Applied And Computational Complex Analysis Volume 1 written by Peter Henrici 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 1988-02-23 with Mathematics categories.
Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.
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 Analysis
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Author : D.H. Luecking
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Complex Analysis written by D.H. Luecking and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The main idea of this book is to present a good portion of the standard material on functions of a complex variable, as well as some new material, from the point of view of functional analysis. The main object of study is the algebra H(G) of all holomorphic functions on the open set G, with the topology on H(G) of uniform convergence on compact subsets of G. From this point of vie~, the main theorem of the theory is Theorem 9.5, which concretely identifies the dual of H(G) with the space of germs of holomorphic functions on the complement of G. From this result, for example, Runge's approximation theorem and the global Cauchy integral theorem follow in a few short steps. Other consequences of this duality theorem are the Germay interpolation theorem and the Mittag-Leffler Theorem. The approach via duality is entirely consistent with Cauchy's approach to complex variables, since curvilinear integrals are typical examples of linear functionals. The prerequisite for the book is a one-semester course in com plex variables at the undergraduate-graduate level, so that the elements of the local theory are supposed known. In particular, the Cauchy Theorem for the square and the circle are assumed, but not the global Cauchy Theorem in any of its forms. The second author has three times taught a graduate course based on this material at the University of Illinois, with good results.