2013, ISBN: 9781461243649
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2013, ISBN: 9781461243649
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2013, ISBN: 9781461243649
eBooks, eBook Download (PDF), Complex dynamics is today very much a focus of interest. Though several fine expository articles were available, by P. Blanchard and by M. Yu. Lyubich in par… Plus…
ISBN: 9781461243649
Complex dynamics is today very much a focus of interest. Though several fine expository articles were available, by P. Blanchard and by M. Yu. Lyubich in particular, until recently there … Plus…
ISBN: 9781461243649
This book discusses the properties of conformal mappings in the complex plane, a subject closely connected to the study of fractals and chaos.Focusing on analytic aspects of this contempo… Plus…
ISBN: 9781461243649
Complex Dynamics ab 69.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Complex Dynamics - eBook als pdf von Lennart Carleson/ Theodo… Plus…
2013, ISBN: 9781461243649
eBook Download (PDF), eBooks, [PU: Springer New York]
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Informations détaillées sur le livre - Complex Dynamics
EAN (ISBN-13): 9781461243649
Date de parution: 2013
Editeur: Springer New York
Livre dans la base de données depuis 2016-02-04T20:58:06+01:00 (Paris)
Page de détail modifiée en dernier sur 2023-11-14T15:22:50+01:00 (Paris)
ISBN/EAN: 9781461243649
ISBN - Autres types d'écriture:
978-1-4612-4364-9
Autres types d'écriture et termes associés:
Auteur du livre: gamelin, carleson
Données de l'éditeur
Auteur: Lennart Carleson; Theodore W. Gamelin
Titre: Universitext; Universitext: Tracts in Mathematics; Complex Dynamics
Editeur: Springer; Springer US
192 Pages
Date de parution: 2013-11-11
New York; NY; US
Langue: Anglais
74,89 € (DE)
77,00 € (AT)
83,00 CHF (CH)
Available
IX, 192 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; integral; iteration; quasiconformal mapping; B; Analysis; Mathematics and Statistics; BC
I. Conformal and Quasiconformal Mappings.- 1. Some Estimates on Conformal Mappings.- 2. The Riemann Mapping.- 3. Montel’s Theorem.- 4. The Hyperbolic Metric.- 5. Quasiconformal Mappings.- 6. Singular Integral Operators.- 7. The Beltrami Equation.- II. Fixed Points and Conjugations.- 1. Classification of Fixed Points.- 2. Attracting Fixed Points.- 3. Repelling Fixed Points.- 4. Superattracting Fixed Points.- 5. Rationally Neutral Fixed Points.- 6. Irrationally Neutral Fixed Points.- 7. Homeomorphisms of the Circle.- III. Basic Rational Iteration.- 1. The Julia Set.- 2. Counting Cycles.- 3. Density of Repelling Periodic Points.- 4. Polynomials.- IV. Classification of Periodic Components.- 1. Sullivan’s Theorem.- 2. The Classification Theorem.- 3. The Wolff-Denjoy Theorem.- V. Critical Points and Expanding Maps.- 1. Siegel Disks.- 2. Hyperbolicity.- 3. Subhyperbolicity.- 4. Locally Connected Julia Sets.- VI. Applications of Quasiconformal Mappings.- 1. Polynomial-like Mappings.- 2. Quasicircles.- 3. Herman Rings.- 4. Counting Herman Rings.- 5. A Quasiconformal Surgical Procedure.- VII. Local Geometry of the Fatou Set.- 1. Invariant Spirals.- 2. Repelling Arms.- 3. John Domains.- VIII. Quadratic Polynomials.- 1. The Mandelbrot Set.- 2. The Hyperbolic Components of ?.- 3. Green’s Function of ?c.- 4. Green’s Function of ?.- 5. External Rays with Rational Angles.- 6. Misiurewicz Points.- 7. Parabolic Points.- Epilogue.- References.- Symbol Index.Autres livres qui pourraient ressembler au livre recherché:
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9780387979427 Complex Dynamics Lennart Carleson Author (Lennart Carleson, Theodore W. Gamelin)
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