Theory Of Functions Of A Complex Variable
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Theory Of Functions Of A Complex Variable
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Author : Narayan Shanti & Mittal P.K.
language : en
Publisher: S. Chand Publishing
Release Date : 2005-03
Theory Of Functions Of A Complex Variable written by Narayan Shanti & Mittal P.K. and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03 with Science categories.
Theory of Functions of a Complex Variable
Complex Function Theory
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Author : Donald Sarason
language : en
Publisher: American Mathematical Soc.
Release Date : 2007-12-20
Complex Function Theory written by Donald Sarason 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 2007-12-20 with Mathematics categories.
Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation. The first edition was published with the title Notes on Complex Function Theory.
Theory Of Functions Of A Complex Variable
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Author : A. I. Markushevich
language : en
Publisher: American Mathematical Soc.
Release Date : 2013
Theory Of Functions Of A Complex Variable written by A. I. Markushevich 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 2013 with Analytic functions categories.
Elementary Theory Of Analytic Functions Of One Or Several Complex Variables
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Author : Henri Cartan
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22
Elementary Theory Of Analytic Functions Of One Or Several Complex Variables written by Henri Cartan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Methods Of The Theory Of Functions Of Many Complex Variables
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Author : Vasiliy Sergeyevich Vladimirov
language : en
Publisher: Courier Corporation
Release Date : 2007-01-01
Methods Of The Theory Of Functions Of Many Complex Variables written by Vasiliy Sergeyevich Vladimirov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
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.
Function Theory Of One Complex Variable
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Author : Robert Everist Greene
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Function Theory Of One Complex Variable written by Robert Everist Greene 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 2006 with Mathematics categories.
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 covers complex variables as a direct development from multivariable real calculus.
Geometric Theory Of Functions Of A Complex Variable
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Author : Gennadiĭ Mikhaĭlovich Goluzin
language : en
Publisher: American Mathematical Soc.
Release Date : 1969
Geometric Theory Of Functions Of A Complex Variable written by Gennadiĭ Mikhaĭlovich Goluzin 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 1969 with Functions of complex variables categories.
Functions Of A Complex Variable
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Author : Hemant Kumar Pathak
language : en
Publisher: Chapman & Hall/CRC
Release Date : 2016
Functions Of A Complex Variable written by Hemant Kumar Pathak and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
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.
Functions Of One Complex Variable
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Author : J.B. Conway
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Functions Of One Complex Variable written by J.B. Conway 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.
This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - I) arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.
Functions Of A Complex Variable
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Author : George F. Carrier
language : en
Publisher: SIAM
Release Date : 2005-07-01
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 2005-07-01 with Mathematics categories.
This book makes available to readers a comprehensive range of analytical techniques based upon complex variable theory.