LEADER 04213nam 2200817Ia 450 001 9910953747203321 005 20241010202912.0 010 $a9786613001481 010 $a9781283001489 010 $a1283001489 010 $a9781400835539 010 $a1400835534 024 7 $a10.1515/9781400835539 035 $a(CKB)2560000000058740 035 $a(EBL)662358 035 $a(OCoLC)705539236 035 $a(SSID)ssj0000468585 035 $a(PQKBManifestationID)11291426 035 $a(PQKBTitleCode)TC0000468585 035 $a(PQKBWorkID)10498392 035 $a(PQKB)10626009 035 $a(DE-B1597)446339 035 $a(OCoLC)704277558 035 $a(OCoLC)979593289 035 $a(DE-B1597)9781400835539 035 $a(Au-PeEL)EBL662358 035 $a(CaPaEBR)ebr10448496 035 $a(CaONFJC)MIL300148 035 $a(PPN)201956985 035 $a(FR-PaCSA)45003563 035 $a(MiAaPQ)EBC662358 035 $a(Perlego)734382 035 $a(FRCYB45003563)45003563 035 $a(EXLCZ)992560000000058740 100 $a20050627d2006 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDynamics in one complex variable /$fby John Milnor 205 $a3rd ed. 210 $aPrinceton, N.J. $cPrinceton University Press$d2006 215 $a1 online resource (313 p.) 225 1 $aAnnals of mathematics studies ;$vno. 160 300 $aDescription based upon print version of record. 311 08$a9780691124872 311 08$a0691124876 311 08$a9780691124889 311 08$a0691124884 320 $aIncludes bibliographical references (p. 277-291) and index. 327 $tFrontmatter --$tTable Of Contents --$tList of Figures --$tPreface to the Third Edition --$tChronological Table --$tRiemann Surfaces --$tIterated Holomorphic Maps --$tLocal Fixed Point Theory --$tPeriodic Points: Global Theory --$tStructure of the Fatou Set --$tUsing the Fatou Set to Study the Julia Set --$tAppendix A. Theorems from Classical Analysis --$tAppendix B. Length-Area-Modulus Inequalities --$tAppendix C. Rotations, Continued Fractions, and Rational Approximation --$tAppendix D. Two or More Complex Variables --$tAppendix E. Branched Coverings and Orbifolds --$tAppendix F. No Wandering Fatou Components --$tAppendix G. Parameter Spaces --$tAppendix H. Computer Graphics and Effective Computation --$tReferences --$tIndex 330 $aThis volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field. 410 0$aAnnals of mathematics studies ;$vno. 160. 606 $aFunctions of complex variables 606 $aHolomorphic mappings 606 $aRiemann surfaces 615 0$aFunctions of complex variables. 615 0$aHolomorphic mappings. 615 0$aRiemann surfaces. 676 $a515.93 676 $a515/.93 686 $aSI 830$2rvk 700 $aMilnor$b John W$g(John Willard),$f1931-$040532 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910953747203321 996 $aDynamics in one complex variable$9374228 997 $aUNINA LEADER 01349nam0 22003011i 450 001 UON00396198 005 20231205104636.105 100 $a20110721d2011 |0itac50 ba 101 $ajpn$aENG 102 $aJP 105 $a|||| 1|||| 200 1 $a20seiki k?han no shinbun goi ni okeru gairaigo no kihongoka$fKim Eran 210 $aToyonaka$cOsaka University$d2011 215 $avii, 175 p.$d24 cm 300 $aAltro front. in inglese. 312 $aTit. di altro front.$9UON00396495 410 1$1001UON00281327$12001 $aHandai Nihongo Kenkyu. Bessatsu$fOsaka Daigaku Bungakubu Nihon Gakka$v3 510 0$3UON00396495$aShift of the loanwords to basic words in the Japanese newspaper vocabulary in the second half of the 20th century 620 $dToyonaka$3UONL004102 686 $aGIA II$cGIAPPONE - LINGUISTICA$2A 700 0$aKIM Eran$3UONV203732$0706110 712 $a*Osaka *Daigaku : *Bungakubu *Nihon *Gakka$3UONV272000$4650 801 $aIT$bSOL$c20250411$gRICA 899 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$2UONSI 912 $aUON00396198 950 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$dSI GIA II 001 $eSI SA 58546 7 001 $sBuono 996 $a20seiki k?han no shinbun goi ni okeru gairaigo no kihongoka$91352057 997 $aUNIOR