The real Fatou conjecture / (Record no. 703777)

MARC details
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control field ocn887499708
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control field 20240925134512.0
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007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu---unuuu
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 140816s1998 nju ob 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
Canceled/invalid LC control number 98024386
040 ## - CATALOGING SOURCE
Original cataloging agency EBLCP
Language of cataloging eng
Description conventions pn
Transcribing agency EBLCP
Modifying agency IDEBK
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066 ## - CHARACTER SETS PRESENT
Alternate G0 or G1 character set (Q
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781400865185
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1400865182
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780691002583
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0691002576
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780691002576
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0691002584
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780691002583
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1515/9781400865185
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number 818439
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035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)887499708
Canceled/invalid control number (OCoLC)961582016
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037 ## - SOURCE OF ACQUISITION
Stock number 22573/ctt7680c7
Source of stock number/acquisition JSTOR
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA614.58
Item number .G73 1998eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 012000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT040000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT012040
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.362
Edition number 23
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Graczyk, Jacek.
9 (RLIN) 755086
245 14 - TITLE STATEMENT
Title The real Fatou conjecture /
Statement of responsibility, etc. by Jacek Graczyk and Grzegorz Świa̧tek.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Princeton, N.J. :
Name of publisher, distributor, etc. Princeton University Press,
Date of publication, distribution, etc. 1998.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
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490 1# - SERIES STATEMENT
Series statement Annals of mathematics studies ;
Volume/sequential designation number144
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
Summary, etc. In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it can be interpreted to mean that for a dense set of parameters "a," an attracting periodic orbit exists. The same question appears naturally in science, where the logistic family is used to construct models in physics, ecology, and economics. In this book, Jacek Graczyk and Grzegorz Swiatek provide a rigorous proof of the Real Fatou Conjecture. In spite of the apparently elementary nature of the problem, its solution requires advanced tools of complex analysis. The authors have written a self-contained and complete version of the argument, accessible to someone with no knowledge of complex dynamics and only basic familiarity with interval maps. The book will thus be useful to specialists in real dynamics as well as to graduate students
588 0# - SOURCE OF DESCRIPTION NOTE
Source of description note Print version record.
505 00 - FORMATTED CONTENTS NOTE
Title Frontmatter --
-- Contents --
-- Chapter 1. Review of Concepts --
-- Chapter 2. Quasiconformal Gluing --
-- Chapter 3. Polynomial-Like Property --
-- Chapter 4. Linear Growth of Moduli --
-- Chapter 5. Quasi conformal Techniques --
-- Bibliography --
-- Index.
546 ## - LANGUAGE NOTE
Language note In English.
590 ## - LOCAL NOTE (RLIN)
Local note Added to collection customer.56279.3
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geodesics (Mathematics)
9 (RLIN) 78738
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mappings (Mathematics)
9 (RLIN) 12840
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Polynomials.
9 (RLIN) 4540
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematik.
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Topical term or geographic name as entry element Géodésiques (Mathématiques)
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650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Applications (Mathématiques)
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650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Polynômes.
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650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS
General subdivision Geometry
-- General.
Source of heading or term bisacsh
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650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS
General subdivision Complex Analysis.
Source of heading or term bisacsh
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Source of heading or term fast
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Source of heading or term fast
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Uncontrolled term Affine transformation.
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Uncontrolled term Algebraic function.
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Uncontrolled term Analytic continuation.
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Uncontrolled term Analytic function.
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Uncontrolled term Arithmetic.
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Uncontrolled term Automorphism.
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Uncontrolled term Big O notation.
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Uncontrolled term Bounded set (topological vector space)
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Uncontrolled term Intermediate value theorem.
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Uncontrolled term Inverse function.
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653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Periodic function.
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Uncontrolled term Periodic point.
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Uncontrolled term Quasiconformal mapping.
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Uncontrolled term Renormalization.
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Uncontrolled term Riemann sphere.
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Uncontrolled term Riemann surface.
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Uncontrolled term Z0.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Świa̧tek, Grzegorz,
Dates associated with a name 1964-
Relator term author.
9 (RLIN) 755087
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Graczyk, Jacek.
Title Real Fatou conjecture.
Place, publisher, and date of publication Princeton, N.J. : Princeton University Press, 1998
International Standard Book Number 9780691002576
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Annals of mathematics studies ;
Volume number/sequential designation no. 144.
9 (RLIN) 220295
856 40 - ELECTRONIC LOCATION AND ACCESS
Materials specified EBSCOhost
Uniform Resource Identifier <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=818439">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=818439</a>
880 14 - ALTERNATE GRAPHIC REPRESENTATION
Linkage 245-00/(Q
a The real Fatou conjecture /
c by Jacek Graczyk and Grzegorz ́Swi©ѕtek.
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Holdings
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