Classical Complex Analysis
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Classical Complex Analysis A Geometric Approach Volume 2
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Author : I-hsiung Lin
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010-09-09
Classical Complex Analysis A Geometric Approach Volume 2 written by I-hsiung Lin and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-09 with Mathematics categories.
Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. Volume 2 begins with analytic continuation. The Riemann mapping theorem is proved and used in solving Dirichlet's problem for an open disk and, hence, a class of general domains via Perron's method. Finally, proof of the uniformization theorem of Riemann surfaces is given.The book is rich in contents, figures, examples and exercises. It is self-contained and is designed for a variety of usages and motivations concerning advanced studies. It can be used both as a textbook for undergraduate and graduate students, and as a reference book in general.
Complex Analysis
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Author : John Stalker
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-16
Complex Analysis written by John Stalker 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 2009-10-16 with Mathematics categories.
In this concise introduction to the classical theory of one complex variable the content is driven by techniques and examples, rather than definitions and theorems.
Classical Complex Analysis
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Author : Mario Gonzalez
language : en
Publisher: CRC Press
Release Date : 1991-09-24
Classical Complex Analysis written by Mario Gonzalez and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-24 with Mathematics categories.
Text on the theory of functions of one complex variable contains, with many elaborations, the subject of the courses and seminars offered by the author over a period of 40 years, and should be considered a source from which a variety of courses can be drawn. In addition to the basic topics in the cl
Classical Complex Analysis
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Author : Liong-shin Hahn
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 1996
Classical Complex Analysis written by Liong-shin Hahn and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Functions of complex variables categories.
Classic Complex Analysis is a text that has been developed over decades of teaching with an enthusiastic student reception. The first half of the book focuses on the core material. An early chapter on power series gives the reader concrete examples of analytic functions and a review of calculus. Mobius transformations are presented with emphasis on the geometric aspect, and the Cauchy theorem is covered in the classical manner. The remaining chapters provide an elegant and solid overview of special topics such as Entire and Meromorphic Functions, Analytic Continuation, Normal Families, Conformal Mapping, and Harmonic Functions.
An Introduction To Classical Complex Analysis
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Author :
language : en
Publisher: Academic Press
Release Date : 1980-07-15
An Introduction To Classical Complex Analysis written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-07-15 with Mathematics categories.
An Introduction to Classical Complex Analysis
An Introduction To Classical Complex Analysis
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Author :
language : en
Publisher:
Release Date : 1979
An Introduction To Classical Complex Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Classical Topics In Complex Function Theory
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Author : Reinhold Remmert
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Classical Topics In Complex Function Theory written by Reinhold Remmert 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 2013-03-14 with Mathematics categories.
An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience function theory personally and to participate in the work of the creative mathematician. The author includes numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. In addition to standard topics, readers will find Eisenstein's proof of Euler's product formula for the sine function; Wielandts uniqueness theorem for the gamma function; Stirlings formula; Isssas theorem; Besses proof that all domains in C are domains of holomorphy; Wedderburns lemma and the ideal theory of rings of holomorphic functions; Estermanns proofs of the overconvergence theorem and Blochs theorem; a holomorphic imbedding of the unit disc in C3; and Gausss expert opinion on Riemanns dissertation. Remmert elegantly presents the material in short clear sections, with compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, combine to make an invaluable source for students and teachers alike
An Introduction To Classical Complex Analysis
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Author :
language : en
Publisher:
Release Date : 1974
An Introduction To Classical Complex Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Analytic functions categories.
An Introduction To Classical Complex Analysis
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Author : R.B. Burckel
language : en
Publisher: Birkhäuser
Release Date : 2011-10-13
An Introduction To Classical Complex Analysis written by R.B. Burckel and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-13 with Mathematics categories.
to Classical Complex Analysis Vol. 1 by Robert B. Burckel Kansas State University 1979 BIRKHAUSER VERLAG BASEL UND STUTTGART CIP-Kurztitelaufnahme der Deutschen Bibliothek Burckel, Robert B.: An introduction to classical complex analysis I by Robert B. Burckel. - Basel. Stuttgart: Birkhiiuser. Vol. I. - 1979. (Lehrbilcher und Monographien aus dem Gebiete der exakten Wissenschaften: Math. Reihe; Bd. 64) All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the Copyright owner. © Birkhiiuser Verlag Basel, 1979 North and South America Edition published by ACADEMIC PRESS. INC. III Fifth Avenue, New York, New York 10003 (Pure and Applied Mathematics, A Series of Monographs and Textbooks, Volume 82) ISBN-13: 978-3-0348-9376-3 e-ISBN-13: 978-3-0348-9374-9 DOl: 10.1007/978-3-0348-9374-9 Library of Congress Catalog Card Number 78-67403 5 Contents Volume I PREFACE 9 Chapter 0 PREREQUISITES AND PRELIMINARIES 13 § 1 Set Theory 13 § 2 Algebra 14 § 3 The Battlefield 14 § 4 Metric Spaces 15 § 5 Limsup and All That 18 § 6 Continuous Functions 20 § 7 Calculus 21 Chapter I CURVES, CONNECTEDNESS AND CONVEXITY 22 § 1 Elementary Results on Connectedness 22 § 2 Connectedness of Intervals, Curves and Convex Sets 23 § 3 The Basic Connectedness Lemma 28 § 4 Components and Compact Exhaustions 29 § 5 Connectivity of a Set 33 § 6 Extension Theorems 37 Notes to Chapter I 39
Classical Complex Analysis A Geometric Approach Volume 1
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Author : I-hsiung Lin
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010-09-09
Classical Complex Analysis A Geometric Approach Volume 1 written by I-hsiung Lin and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-09 with Mathematics categories.
Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. Volume 1 begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described in detail, and various applications of residues are included; analytic continuation is also introduced.The book is rich in contents, figures, examples and exercises. It is self-contained and is designed for a variety of usages and motivations concerning advanced studies. It can be used both as a textbook for undergraduate and graduate students, and as a reference book in general.