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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: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 891Publication details: Providence, RI : American Mathematical Society, c2008.Description: 1 online resource (v, 146 p. : ill. (some col.))ISBN:
  • 9781470404970 (online)
Subject(s): Additional physical formats: Newton's method applied to two quadratic equations in $\mathbb{C}^2$ viewed as a global dynamical system /DDC classification:
  • 515/.39 22
LOC classification:
  • QA377 .H83 2008
Online resources:
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
Item type: E-BOOKS
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IMSc Library IMSc Library Link to resource Available EBK13344

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

Description based on print version record.

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The Institute of Mathematical Sciences, Chennai, India