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[null,"1.","Record Nr.",null,"UNINA9910480644103321"]
[null,null,"Autore",null,"Hubbard John H (John Hamal), <1945 or 1946->"]
[null,null,"Titolo",null,"Newton's method applied to two quadratic equations in C[superscript 2] viewed as a global dynamical system / / John H. Hubbard, Peter Papadopol"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2008]"]
[{"$nulls":4},"©2008"]
[null,null,"ISBN",null,"1-4704-0497-4"]
[null,null,"Descrizione fisica",null,"1 online resource (160 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 891"]
[null,null,"Disciplina",null,"515/.39"]
[null,null,"Soggetti",null,"Newton-Raphson method"]
[{"$nulls":4},"Equations, Quadratic"]
[{"$nulls":4},"Differentiable dynamical systems"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Table of Contents\"\"; \"\"Chapter 0 Introduction\"\"; \"\"1. Introduction\"\"; \"\"2. Outline of paper\"\"; \"\"3. Acknowledgements\"\"; \"\"4. A computer tour of Newton's method\"\"; \"\"5. Some open questions\"\"; \"\"Chapter 1 Fundamental properties of Newton maps\"\"; \"\"1.1. Generalities about Newton's method\"\"; \"\"1.2. The intersection of graphs\"\"; \"\"1.3. The Russakovskii-Shiffman measure\"\"; \"\"1.4. Invariant currents\"\"; \"\"1.5. The intersection of conies\"\"; \"\"1.6. Degenerate cases\"\"; \"\"1.7. The one-variable rational functions associated to the roots\"\""]
[{"$nulls":4},"\"\"Chapter 2 Invariant 3-manifolds associated to invariant circles\"\"\"\"2.1. The circles in the invariant lines\"\"; \"\"2.2. Periodic cycles on invariant circles\"\"; \"\"2.3. Unstable manifolds at infinity\"\"; \"\"2.4. The invariant manifolds of circles\"\"; \"\"2.5. The extension of Î? and the origin of \"\"bubbles\"\"\"\"; \"\"Chapter 3 The behavior at infinity when a = b = 0\"\"; \"\"3.1. The primitive space\"\"; \"\"3.2. Newton's method and the primitive space\"\"; \"\"Chapter 4 The Farey blow-up\"\"; \"\"4.1. Definition of the Farey blow-up\"\"; \"\"4.2. Naturality of the Farey blow-up\"\""]