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Complex Dynamics - Theodore W. Gamelin
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Theodore W. Gamelin:

Complex Dynamics - Paperback

1993, ISBN: 0387979425

[EAN: 9780387979427], Neubuch, [SC: 0.0], [PU: Springer New York], ANALYSIS; CALCULUS; INTEGRAL; ITERATION; QUASICONFORMALMAPPING, Druck auf Anfrage Neuware - Printed after ordering - Com… More...

NEW BOOK. Shipping costs:Versandkostenfrei. (EUR 0.00) AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
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Complex Dynamics Lennart Carleson Author
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Complex Dynamics Lennart Carleson Author - new book

ISBN: 9780387979427

A discussion of the properties of conformal mappings in the complex plane, closely related to the study of fractals and chaos. Indeed, the book ends in a detailed study of the famous Mand… More...

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Complex Dynamics - Lennart Carleson|Theodore W. Gamelin
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Lennart Carleson|Theodore W. Gamelin:
Complex Dynamics - Paperback

1993

ISBN: 0387979425

[EAN: 9780387979427], Neubuch, [PU: Springer New York], ANALYSIS CALCULUS INTEGRAL ITERATION QUASICONFORMALMAPPING MATHEMATIK QUASICONFORMAL MAPPING MATHEMATISCHE ANALYSIS, ALLGEMEIN, Die… More...

NEW BOOK. Shipping costs:Versandkostenfrei. (EUR 0.00) moluna, Greven, Germany [73551232] [Rating: 4 (von 5)]
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Lennart Carleson:
Complex Dynamics Universitext - First edition

2002, ISBN: 9780387979427

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Complex Dynamics - Gamelin, Theodore W.; Carleson, Lennart
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Gamelin, Theodore W.; Carleson, Lennart:
Complex Dynamics - new book

1996, ISBN: 0387979425

1st ed. 1993. Corr. 2nd printing 1996 Kartoniert / Broschiert Analysis, Calculus, Integral; Iteration; quasiconformalmapping, mit Schutzumschlag 11, [PU:Springer New York; Springer US]

Shipping costs:Versandkostenfrei innerhalb der BRD. (EUR 0.00) MARZIES.de Buch- und Medienhandel, 14621 Schönwalde-Glien
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Complex Dynamics Lennart Carleson Author
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ISBN:

0387979425


A discussion of the properties of conformal mappings in the complex plane, closely related to the study of fractals and chaos. Indeed, the book ends in a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings. Focusing on the analytic side of this contemporary subject, the text was developed from a course taught over several semesters and aims to help students and instructors to familiarize themselves with complex dynamics. Topics covered include: conformal and quasi-conformal mappings, fixed points and conjugations, basic rational iteration, classification of periodic components, critical points and expanding maps, some applications of conformal mappings, the local geometry of the Fatou set, and quadratic polynomials and the Mandelbrot set.

Details of the book - Complex Dynamics Lennart Carleson Author


EAN (ISBN-13): 9780387979427
ISBN (ISBN-10): 0387979425
Paperback
Publishing year: 2007
Publisher: Springer New York Core >1 >T
192 Pages
Weight: 0,296 kg
Language: eng/Englisch

Book in our database since 2007-05-24T06:15:20-04:00 (New York)
Detail page last modified on 2023-11-14T09:22:49-05:00 (New York)
ISBN/EAN: 0387979425

ISBN - alternate spelling:
0-387-97942-5, 978-0-387-97942-7
Alternate spelling and related search-keywords:
Book author: carleson, lennart, mandelbrot, gamelin, peitgen richter, bishop chris
Book title: complex, dynamics, tracts, mathematics

Information from Publisher

Author: Lennart Carleson; Theodore W. Gamelin
Title: Universitext; Universitext: Tracts in Mathematics; Complex Dynamics
Publisher: Springer; Springer US
192 Pages
Publishing year: 1993-07-23
New York; NY; US
Language: English
74,89 € (DE)
76,99 € (AT)
83,00 CHF (CH)
Available
IX, 192 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; integral; iteration; quasiconformal mapping; Analysis; EA

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.

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