Newton's method applied to two quadratic equations in $\mathbb{C}^2$ viewed as a global dynamical system / [electronic resource] John H. Hubbard, Peter Papadopol.

By: Hubbard, John H. (John Hamal), 1945 or 1946-Contributor(s): Papadopol, Peter, 1931-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 891Publication details: Providence, RI : American Mathematical Society, c2008Description: 1 online resource (v, 146 p. : ill. (some col.))ISBN: 9781470404970 (online)Subject(s): Newton-Raphson method | Equations, Quadratic | Differentiable dynamical systemsAdditional physical formats: Newton's method applied to two quadratic equations in $\mathbb{C}^2$ viewed as a global dynamical system /DDC classification: 515/.39 LOC classification: QA377 | .H83 2008Online resources: Contents | Contents
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
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Includes bibliographical references.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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