Title Newton's method applied to two quadratic equations in C₂ viewed as a global dynamical system / John H. Hubbard, Peter Papadopol

Published Providence, RI : American Mathematical Society, ©2008

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Description 1 online resource (v, 146 pages) : illustrations (some color) Series Memoirs of the American Mathematical Society, 1947-6221 ; v. 891 Memoirs of the American Mathematical Society ; no. 891. 0065-9266 Contents 0. Introduction 1. Fundamental properties of Newton maps 2. Invariant 3-manifolds associated to invariant circles 3. The behavior at infinity when $a$ = $b$ = 0 4. The Farey blow-up 5. The compactification when $a$ = $b$ = 0 6. The case where $a$ and $b$ are arbitrary Bibliography Includes bibliographical references Notes Print version record Subject Newton-Raphson method. Equations, Quadratic. Differentiable dynamical systems. MATHEMATICS -- Calculus. MATHEMATICS -- Mathematical Analysis. Differentiable dynamical systems Equations, Quadratic Newton-Raphson method Form Electronic book Author Papadopol, Peter, 1931- ISBN 9781470404970 1470404974

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