عنوان
پدید آورنده
موضوع
رده
QA353.T7 H83 1998
QA353
.
T7
H83
1998
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
135145403X
(Number (ISBN
9781351454032
Erroneous ISBN
9056991612
Erroneous ISBN
9789056991616
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Dynamics of transcendental functions /
General Material Designation
[Book]
First Statement of Responsibility
Xin-Hou Hua and Chung-Chun Yang.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boca Raton, FL :
Name of Publisher, Distributor, etc.
CRC Press,
Date of Publication, Distribution, etc.
[1998]
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
SERIES
Series Title
Asian mathematics series ;
Volume Designation
v. 1
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Cover; Half Title; Title Page; Copyright Page; Table of Contents; Introduction to the Series; Preface; 1: Preliminaries; 1.1 Some notations; 1.2 Normal families; 1.3 Conformal mappings; 1.4 The Poincaré metric; 1.5 Extremal lengths and prime ends; 1.6 Ramified coverings; 1.7 Quasiconformal mappings; 1.8 Nevanlinna's value distribution theory; 1.9 Covering surfaces; 1.10 Growth of composite functions; 1.11 Wiman-Valiron theory; 2: The Fixed Point Theory; 2.1 Classification of meromorphic functions; 2.2 Classification of fixed points; 2.3 Fixed points of iterated functions
Text of Note
2.4 Fixed points of composite functions2.5 Conjugacy and the central problem; 2.6 Attracting and repelling fixed points; 2.7 Rationally indifferent fixed points; 2.8 Irrationally indifferent fixed points; 3: The Fatou and Julia Sets; 3.1 Definitions of the Fatou and Julia sets; 3.2 Completely invariant sets; 3.3 Some properties of the Julia set; 3.4 Baker's theorem; 3.5 Expansivity of the Julia set; 4: The Components of the Fatou Set; 4.1 Types of the components; 4.2 Multiply connected components; 4.3 Simply connected components; 4.4 Classification of periodic components
0
8
SUMMARY OR ABSTRACT
Text of Note
In this extensive work, the authors give a complete self-contained exposition on the subject of classic function theory and the most recent developments in transcendental iteration. They clearly present the theory of iteration of transcendental functions and their analytic and geometric aspects.
OTHER EDITION IN ANOTHER MEDIUM
Title
Dynamics of transcendental functions.
International Standard Book Number
9789056991616
TOPICAL NAME USED AS SUBJECT
Fatou theorems.
Fixed point theory.
Transcendental functions.
Fatou theorems.
Fixed point theory.
MATHEMATICS-- Calculus.
MATHEMATICS-- Mathematical Analysis.
Transcendental functions.
(SUBJECT CATEGORY (Provisional
MAT-- 005000
MAT-- 034000
DEWEY DECIMAL CLASSIFICATION
Number
515/
.
9
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA353
.
T7
Book number
H83
1998
PERSONAL NAME - PRIMARY RESPONSIBILITY
Hua, Xin-Hou
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Yang, Chung-Chun,1942-
ORIGINATING SOURCE
Date of Transaction
20200822180230.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
