Conformal Invariants In Constructive Theory Of Functions Of Complex Variable


Conformal Invariants In Constructive Theory Of Functions Of Complex Variable
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Conformal Invariants In Constructive Theory Of Functions Of Complex Variable


Conformal Invariants In Constructive Theory Of Functions Of Complex Variable
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Author : V. V. Andrievskii
language : en
Publisher: World Federation Pub Incorporated
Release Date : 1995

Conformal Invariants In Constructive Theory Of Functions Of Complex Variable written by V. V. Andrievskii and has been published by World Federation Pub Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Conformal invariants. categories.




Conformal Invariants In Constructive Theory Of Functions Of Complex Variable


Conformal Invariants In Constructive Theory Of Functions Of Complex Variable
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Author : Vladimir V. Andrievskii
language : en
Publisher:
Release Date : 1995

Conformal Invariants In Constructive Theory Of Functions Of Complex Variable written by Vladimir V. Andrievskii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.




Handbook Of Complex Analysis


Handbook Of Complex Analysis
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Author : Reiner Kuhnau
language : en
Publisher: Elsevier
Release Date : 2004-12-09

Handbook Of Complex Analysis written by Reiner Kuhnau and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-09 with Mathematics categories.


Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).



Conformal Invariants


Conformal Invariants
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Author : Lars Valerian Ahlfors
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-11-17

Conformal Invariants written by Lars Valerian Ahlfors 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 2010-11-17 with Mathematics categories.


Most conformal invariants can be described in terms of extremal properties. Conformal invariants and extremal problems are therefore intimately linked and form together the central theme of this classic book which is primarily intended for students with approximately a year's background in complex variable theory. The book emphasizes the geometric approach as well as classical and semi-classical results which Lars Ahlfors felt every student of complex analysis should know before embarking on independent research. At the time of the book's original appearance, much of this material had never appeared in book form, particularly the discussion of the theory of extremal length. Schiffer's variational method also receives special attention, and a proof of $\vert a_4\vert \leq 4$ is included which was new at the time of publication. The last two chapters give an introduction to Riemann surfaces, with topological and analytical background supplied to support a proof of the uniformization theorem. Included in this new reprint is a Foreword by Peter Duren, F. W. Gehring, and Brad Osgood, as well as an extensive errata. ... encompasses a wealth of material in a mere one hundred and fifty-one pages. Its purpose is to present an exposition of selected topics in the geometric theory of functions of one complex variable, which in the author's opinion should be known by all prospective workers in complex analysis. From a methodological point of view the approach of the book is dominated by the notion of conformal invariant and concomitantly by extremal considerations. ... It is a splendid offering. --Reviewed for Math Reviews by M. H. Heins in 1975



Selected Papers


Selected Papers
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Author : Joseph L. Walsh
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-02-11

Selected Papers written by Joseph L. Walsh 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 2000-02-11 with Mathematics categories.


This volume is a selection from the 281 published papers of Joseph Leonard Walsh, former US Naval Officer and professor at University of Maryland and Harvard University. The nine broad sections are ordered following the evolution of his work. Commentaries and discussions of subsequent development are appended to most of the sections. Also included is one of Walsh's most influential works, "A closed set of normal orthogonal function," which introduced what is now known as "Walsh Functions".



Complex Variables


Complex Variables
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Author : Steven G. Krantz
language : en
Publisher: CRC Press
Release Date : 2019-04-16

Complex Variables written by Steven G. Krantz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-16 with Mathematics categories.


The idea of complex numbers dates back at least 300 years—to Gauss and Euler, among others. Today complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for doing mathematical analysis, and often yields pleasing and unanticipated answers. This book makes the subject of complex analysis accessible to a broad audience. The complex numbers are a somewhat mysterious number system that seems to come out of the blue. It is important for students to see that this is really a very concrete set of objects that has very concrete and meaningful applications. Features: This new edition is a substantial rewrite, focusing on the accessibility, applied, and visual aspect of complex analysis This book has an exceptionally large number of examples and a large number of figures. The topic is presented as a natural outgrowth of the calculus. It is not a new language, or a new way of thinking. Incisive applications appear throughout the book. Partial differential equations are used as a unifying theme.



Approximation By Complex Bernstein And Convolution Type Operators


Approximation By Complex Bernstein And Convolution Type Operators
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Author : Sorin G Gal
language : en
Publisher: World Scientific
Release Date : 2009-08-11

Approximation By Complex Bernstein And Convolution Type Operators written by Sorin G Gal and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-11 with Mathematics categories.


The monograph, as its first main goal, aims to study the overconvergence phenomenon of important classes of Bernstein-type operators of one or several complex variables, that is, to extend their quantitative convergence properties to larger sets in the complex plane rather than the real intervals. The operators studied are of the following types: Bernstein, Bernstein—Faber, Bernstein-Butzer, q-Bernstein, Bernstein-Stancu, Bernstein-Kantorovich, Favard-Szász-Mirakjan, Baskakov and Balázs-Szabados.The second main objective is to provide a study of the approximation and geometric properties of several types of complex convolutions: the de la Vallée Poussin, Fejér, Riesz-Zygmund, Jackson, Rogosinski, Picard, Poisson-Cauchy, Gauss-Weierstrass, q-Picard, q-Gauss-Weierstrass, Post-Widder, rotation-invariant, Sikkema and nonlinear. Several applications to partial differential equations (PDEs) are also presented.Many of the open problems encountered in the studies are proposed at the end of each chapter. For further research, the monograph suggests and advocates similar studies for other complex Bernstein-type operators, and for other linear and nonlinear convolutions.



Fourier Analysis And Approximation Of Functions


Fourier Analysis And Approximation Of Functions
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Author : Roald M. Trigub
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-07

Fourier Analysis And Approximation Of Functions written by Roald M. Trigub 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 2012-11-07 with Mathematics categories.


In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration theory and elements of Complex Analysis and Operator Theory. Applied mathematicians interested in harmonic analysis and/or numerical methods based on ideas of Approximation Theory are among them. In Chapters 6-11 very recent results are sometimes given in certain directions. Many of these results have never appeared as a book or certain consistent part of a book and can be found only in periodics; looking for them in numerous journals might be quite onerous, thus this book may work as a reference source. The methods used in the book are those of classical analysis, Fourier Analysis in finite-dimensional Euclidean space Diophantine Analysis, and random choice.



Functions Of A Complex Variable


Functions Of A Complex Variable
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Author : Vladimir Ivanovich Smirnov
language : en
Publisher:
Release Date : 1968

Functions Of A Complex Variable written by Vladimir Ivanovich Smirnov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Functions of complex variables categories.




Shape Preserving Approximation By Real And Complex Polynomials


Shape Preserving Approximation By Real And Complex Polynomials
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Author : Sorin G. Gal
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-09

Shape Preserving Approximation By Real And Complex Polynomials written by Sorin G. Gal 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 2010-06-09 with Mathematics categories.


First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables Of interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineering Contains many open problems to spur future research Rich and updated bibliography