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Kütüphane ve Dokümantasyon Daire Başkanlığı

Iteration of rational functions : (Kayıt no. 14331)

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000 -LEADER
fixed length control field 03614nam a2200325 i 4500
001 - CONTROL NUMBER
control field 16812
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20260226114956.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 030214t20001991enka b 001 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0387951512
040 ## - CATALOGING SOURCE
Original cataloging agency NXW
Transcribing agency NXW
Modifying agency OCLCQ
-- DAY
041 0# - LANGUAGE CODE
Language code of text/sound track or separate title eng
049 ## - LOCAL HOLDINGS (OCLC)
Holding library BAUN_MERKEZ
050 04 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA297.8
Item number .B43 2000
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Beardon, Alan F
9 (RLIN) 86446
Relator term Author
245 10 - TITLE STATEMENT
Title Iteration of rational functions :
Remainder of title complex analytic dynamical systems /
Statement of responsibility, etc Alan F. Beardon
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York :
Name of producer, publisher, distributor, manufacturer Springer,
Date of production, publication, distribution, manufacture, or copyright notice [2000]
Date of production, publication, distribution, manufacture, or copyright notice ©1991
300 ## - PHYSICAL DESCRIPTION
Extent xvi, 280 pages :
Other physical details illustrations ;
Dimensions 24 cm
336 ## - CONTENT TYPE
Content Type Term text
Content Type Code txt
Source rdacontent
337 ## - MEDIA TYPE
Media Type Term unmediated
Media Type Code unmediated
Source rdamedia
338 ## - CARRIER TYPE
Carrier Type Term volume
Carrier Type Code volume
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Graduate texts in mathematics ;
Volume number/sequential designation 132
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (pages [273]-277) and indexes
505 00 - FORMATTED CONTENTS NOTE
Title Table Of Contents:
-- Preface
-- Prerequisites
-- Examples
-- Introduction
-- Iteration of Mobius Transformations
-- Iteration of z ↦ z2
-- Tchebychev Polynomials
-- Iteration of z andmap z2-1
-- Iteration of z andmap z2 + c
-- Iteration of z andmap z + 1/z
-- Iteration of z andmap 2z - 1/z
-- Newton's Approximation
-- General Remarks
-- Rational Maps
-- The Extended Complex Plane
-- Rational Maps
-- The Lipschitz Condition
-- Conjugacy
-- Valency
-- Fixed Points
-- Critical Points
-- A Topology on the Rational Functions
-- The Fator and Julia Sets
-- The Fatou and Julia Sets
-- Completely Invariant Sets
-- Normal Families and Equicontinuity
-- The Hyperbolic Metric
-- Properties of the Julia Set
-- Exceptional Points
-- Properties of the Julia Set
-- Rational Maps with Empty Fatou Set
-- Elliptic Functions
-- The Structure of the Fatou Set
-- The Toplogy of the Sphere
-- Completely Invariant Components of the Fatou Set
-- The Euler Characteristic
-- The Riemann-Hurwitz Formula for Covering Maps
-- Maps Between Components of the Fatou Set
-- The Number of Components of the Fatou Set
-- Components of the Julia Set
-- Periodic Points
-- The Classification of Periodic Points
-- The Ecistence of Periodic Points
-- (Super) Atracting Cycles
-- Repelling Cycles
-- Rationally Indifferent Cycles
-- Irrationally Indifferent Cycles in F
-- Irrationally Indifferent Cycles in J
-- The Proof of the Existence of Periodic Points
-- The Julia Set and Periodic Points
-- Local Conjugacy
-- Infinite Products
-- The Universal Covering Surface
-- Forward Invariant Components
-- The Five Possibilities
-- Limit Functions
-- Parabolic Domains
-- Siegel Discs and Herman Rings
-- Connectivity of Invariant Components
-- The No Wandering Domains Theorem
-- The No Wandering Domains Theorem
-- A Preliminary Result
-- Conformal Structures
-- Quasiconformal Conjugates of Rational Maps
-- Boundary Values of Conjugate Maps
-- The Proof of Theorem 8.1.2
-- Critical Points
-- Introductory Remarks
-- The Normality of Inverse Maps
-- Critical Points and Periodic Domains
-- Applications
-- The Fatou Set of a Polynomial
-- The Number of Non-Repelling Cycles
-- Expanding Maps
-- Julia Sets as Cantor Sets
-- Julia Sets as Jordan Curves
-- The Mandelbrot Set
-- Hausdorff Dimension
-- Hausdorff Dimension
-- Computing Dimensions
-- The Dimension of Julia Sets
-- Examples
-- Smooth Julia Sets
-- Dendrites
-- Components of F of Infinite Connectivity
-- F with Infinitely Connected and Simply Connected Components
-- J with Infinitely Many Non-Degenerate Components
-- F of Infinite Connectivity with Critical Points in J
-- A Finitely Connected Component of F
-- J Is a Cantor Set of Circles
-- The Function (z - 2)2/z2
-- References
-- Index of Examples
-- Index
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Iterative methods (Mathematics)
Topical term or geographic name as entry element Mappings (Mathematics)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
9 (RLIN) 19347
Uniform title Graduate texts in mathematics ;
Volume number/sequential designation 132
900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA]
Numeration satın
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type Kitap
Mevcut
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Inventory number Full call number Barcode Date last seen Price effective from Koha item type
    Library of Congress Classification     Non-fiction Mehmet Akif Ersoy Merkez Kütüphanesi Mehmet Akif Ersoy Merkez Kütüphanesi Genel Koleksiyon 14/11/2005 Satın Alma 72.42 255.07.02.01.06- QA297.8 .B43 2000 016812 22/12/2015 11/01/2015 Kitap
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