Functions Of A Complex Variable And Some Of Their Applications

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Functions of a Complex Variable and Some of Their Applications

Author : B. A. Fuchs
Publisher : Elsevier
ISBN 13 : 1483155056
Total Pages : 458 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Functions of a Complex Variable and Some of Their Applications by : B. A. Fuchs

Download or read book Functions of a Complex Variable and Some of Their Applications written by B. A. Fuchs and published by Elsevier. This book was released on 2014-08-01 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Complex Variables and Their Applications

Author : Anthony D. Osborne
Publisher : Addison Wesley
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Complex Variables and Their Applications by : Anthony D. Osborne

Download or read book Complex Variables and Their Applications written by Anthony D. Osborne and published by Addison Wesley. This book was released on 1999 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of functions of a complex variable, together with the importance of their applications, form an essential part of the study of mathematics. Complex Variables and their Applications assumes as little background knowledge of the reader as is practically possible, a sound knowledge of calculus and basic real analysis being the only essential pre-requisites. With an emphasis on clear and careful explanation, the book covers all the essential topics covered in a first course on Complex Variables, such as differentiation, integration and applications, Laurent series, residue theory and applications, and elementary conformal mappings. The reader is also introduced to the Schwarz-Christoffel transformation, Dirchlet problems, harmonic functions, analytic continuation, infinite products, asymptotic series and elliptic functions. Applications of complex variable theory to linear ordinary differential equations and integral transforms are also included. Complex Variables and their Applications is an ideal textbook and resource for second and final year students of mathematics, engineering and physics.

Analytic Functions of Several Complex Variables

Author : Robert C. Gunning
Publisher : American Mathematical Society
ISBN 13 : 1470470667
Total Pages : 334 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Analytic Functions of Several Complex Variables by : Robert C. Gunning

Download or read book Analytic Functions of Several Complex Variables written by Robert C. Gunning and published by American Mathematical Society. This book was released on 2022-08-25 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincaré and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools included a central role for sheaf theory and increased uses of topology and algebra. The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. Fundamental concepts and techniques are discussed as early as possible. The first chapter covers material suitable for a one-semester graduate course, presenting many of the central problems and techniques, often in special cases. The later chapters give more detailed expositions of sheaf theory for analytic functions and the theory of complex analytic spaces. Since its original publication, this book has become a classic resource for the modern approach to functions of several complex variables and the theory of analytic spaces. Further information about this book, including updates, can be found at the following URL: www.ams.org/publications/authors/books/postpub/chel-368.

Functions of a Complex Variable and Some of Their Applications

Author : B. A. Fuchs
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Functions of a Complex Variable and Some of Their Applications by : B. A. Fuchs

Download or read book Functions of a Complex Variable and Some of Their Applications written by B. A. Fuchs and published by . This book was released on 1961 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functions of a complex variable and some of their applications

Author : Boris A. Fuks
Publisher :
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.:/5 (17 download)

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Book Synopsis Functions of a complex variable and some of their applications by : Boris A. Fuks

Download or read book Functions of a complex variable and some of their applications written by Boris A. Fuks and published by . This book was released on 1981 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Variables with Applications

Author : Saminathan Ponnusamy
Publisher : Springer Science & Business Media
ISBN 13 : 0817645136
Total Pages : 514 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Complex Variables with Applications by : Saminathan Ponnusamy

Download or read book Complex Variables with Applications written by Saminathan Ponnusamy and published by Springer Science & Business Media. This book was released on 2007-05-26 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Applied Complex Variables

Author : John W. Dettman
Publisher : Courier Corporation
ISBN 13 : 0486158284
Total Pages : 512 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Applied Complex Variables by : John W. Dettman

Download or read book Applied Complex Variables written by John W. Dettman and published by Courier Corporation. This book was released on 2012-05-07 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Functions of Several Complex Variables and Their Singularities

Author : Wolfgang Ebeling
Publisher : American Mathematical Soc.
ISBN 13 : 0821833197
Total Pages : 334 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Functions of Several Complex Variables and Their Singularities by : Wolfgang Ebeling

Download or read book Functions of Several Complex Variables and Their Singularities written by Wolfgang Ebeling and published by American Mathematical Soc.. This book was released on 2007 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.

Functions of a Complex Variable and Some of Their Applications, V.2

Author : B. A. Fuchs
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis Functions of a Complex Variable and Some of Their Applications, V.2 by : B. A. Fuchs

Download or read book Functions of a Complex Variable and Some of Their Applications, V.2 written by B. A. Fuchs and published by . This book was released on 1961 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functions of a Complex Variable and Some of Their Applications

Author : Boris Abramovich Fuks
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (52 download)

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Book Synopsis Functions of a Complex Variable and Some of Their Applications by : Boris Abramovich Fuks

Download or read book Functions of a Complex Variable and Some of Their Applications written by Boris Abramovich Fuks and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods of the Theory of Functions of Many Complex Variables

Author : Vasiliy Sergeyevich Vladimirov
Publisher : Courier Corporation
ISBN 13 : 0486458121
Total Pages : 370 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Methods of the Theory of Functions of Many Complex Variables by : Vasiliy Sergeyevich Vladimirov

Download or read book Methods of the Theory of Functions of Many Complex Variables written by Vasiliy Sergeyevich Vladimirov and published by Courier Corporation. This book was released on 2007-01-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters address the theory of plurisubharmonic functions and pseudoconvex domains, along with characteristics of domains of holomorphy. These explorations are further examined in terms of four types of domains: multiple-circular, tubular, semitubular, and Hartogs' domains. Surveys of integral representations focus on the Martinelli-Bochner, Bergman-Weil, and Bochner representations. The final chapter is devoted to applications, particularly those involved in field theory. It employs the theory of generalized functions, along with the theory of functions of several complex variables.

Complex Analysis with Applications

Author : Richard A. Silverman
Publisher : Courier Corporation
ISBN 13 : 9780486647623
Total Pages : 308 pages
Book Rating : 4.6/5 (476 download)

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Book Synopsis Complex Analysis with Applications by : Richard A. Silverman

Download or read book Complex Analysis with Applications written by Richard A. Silverman and published by Courier Corporation. This book was released on 1984-01-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Functions of a Complex Variable

Author : Hemant Kumar Pathak
Publisher : CRC Press
ISBN 13 : 1498720161
Total Pages : 718 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Functions of a Complex Variable by : Hemant Kumar Pathak

Download or read book Functions of a Complex Variable written by Hemant Kumar Pathak and published by CRC Press. This book was released on 2015-10-14 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions of a Complex Variable provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis. It also incorporates special topics to enhance students’ understanding of the subject, laying the foundation for future studies in analysis, linear algebra, numerical analysis, geometry, number theory, physics, thermodynamics, or electrical engineering. After introducing the basic concepts of complex numbers and their geometrical representation, the text describes analytic functions, power series and elementary functions, the conformal representation of an analytic function, special transformations, and complex integration. It next discusses zeros of an analytic function, classification of singularities, and singularity at the point of infinity; residue theory, principle of argument, Rouché’s theorem, and the location of zeros of complex polynomial equations; and calculus of residues, emphasizing the techniques of definite integrals by contour integration. The authors then explain uniform convergence of sequences and series involving Parseval, Schwarz, and Poisson formulas. They also present harmonic functions and mappings, inverse mappings, and univalent functions as well as analytic continuation.

Student Solutions Manual to Accompany Complex Variables and Applications

Author : James Ward Brown
Publisher : McGraw-Hill Science, Engineering & Mathematics
ISBN 13 : 9780072878349
Total Pages : 168 pages
Book Rating : 4.8/5 (783 download)

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Book Synopsis Student Solutions Manual to Accompany Complex Variables and Applications by : James Ward Brown

Download or read book Student Solutions Manual to Accompany Complex Variables and Applications written by James Ward Brown and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 2003-03 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functions of a Complex Variable and Some of Their Applications

Author : Boris Abramovich Fuks
Publisher :
ISBN 13 :
Total Pages : 431 pages
Book Rating : 4.:/5 (154 download)

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Book Synopsis Functions of a Complex Variable and Some of Their Applications by : Boris Abramovich Fuks

Download or read book Functions of a Complex Variable and Some of Their Applications written by Boris Abramovich Fuks and published by . This book was released on 1964 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Theory of One Complex Variable

Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 9780821839621
Total Pages : 536 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Function Theory of One Complex Variable by : Robert Everist Greene

Download or read book Function Theory of One Complex Variable written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.

Functions of a Complex Variable

Author : George F. Carrier
Publisher : SIAM
ISBN 13 : 9780898719116
Total Pages : 451 pages
Book Rating : 4.7/5 (191 download)

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Book Synopsis Functions of a Complex Variable by : George F. Carrier

Download or read book Functions of a Complex Variable written by George F. Carrier and published by SIAM. This book was released on 2005-01-01 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.