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LEADER 00000cam a2200613Ia 4500 
001    ocn887499708 
003    OCoLC 
005    20160527040617.3 
006    m     o  d         
007    cr cnu---unuuu 
008    140816s1998    nju     ob    001 0 eng d 
020    9781400865185|q(electronic book) 
020    1400865182|q(electronic book) 
035    (OCoLC)887499708 
037    22573/ctt7680c7|bJSTOR 
040    EBLCP|beng|epn|cEBLCP|dIDEBK|dN$T|dE7B|dOCLCQ|dDEBSZ
       |dJSTOR|dOCLCF|dYDXCP|dDEBBG|dOCLCQ 
049    RIDW 
050  4 QA614.58|b.G73 1998eb 
072  7 MAT|x012000|2bisacsh 
072  7 MAT040000|2bisacsh 
072  7 MAT012040|2bisacsh 
082 04 516.362|223 
090    QA614.58|b.G73 1998eb 
100 1  Graczyk, Jacek.|0https://id.loc.gov/authorities/names/
       n98041815 
245 14 The real Fatou conjecture /|cby Jacek Graczyk and Grzegorz
       Świa̧tek. 
264  1 Princeton, N.J. :|bPrinceton University Press,|c1998. 
300    1 online resource. 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
340    |gpolychrome|2rdacc 
347    text file|2rdaft 
490 1  Annals of mathematics studies ;|vnumber144 
504    Includes bibliographical references and index. 
520    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  Print version record. 
590    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America 
650  0 Geodesics (Mathematics)|0https://id.loc.gov/authorities/
       subjects/sh85053967 
650  0 Mappings (Mathematics)|0https://id.loc.gov/authorities/
       subjects/sh85080857 
650  0 Polynomials.|0https://id.loc.gov/authorities/subjects/
       sh85104702 
650  7 Geodesics (Mathematics)|2fast|0https://id.worldcat.org/
       fast/940368 
650  7 Mappings (Mathematics)|2fast|0https://id.worldcat.org/fast
       /1008724 
650  7 Polynomials.|2fast|0https://id.worldcat.org/fast/1070715 
655  4 Electronic books. 
700 1  Świa̧tek, Grzegorz,|d1964-|0https://id.loc.gov/authorities
       /names/n98041818 
776 08 |iPrint version:|aGraczyk, Jacek.|tReal Fatou conjecture.
       |dPrinceton, N.J. : Princeton University Press, 1998
       |z9780691002576 
830  0 Annals of mathematics studies ;|0https://id.loc.gov/
       authorities/names/n42002129|vno. 144. 
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
       search.ebscohost.com/login.aspx?direct=true&scope=site&
       db=nlebk&AN=818439|zOnline eBook. Access restricted to 
       current Rider University students, faculty, and staff. 
856 42 |3Instructions for reading/downloading this eBook|uhttp://
       guides.rider.edu/ebooks/ebsco 
901    MARCIVE 20231220 
948    |d20160607|cEBSCO|tebscoebooksacademic|lridw 
994    92|bRID