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

Complex Dynamics - Livro de bolso

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… mais…

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Complex Dynamics Lennart Carleson Author
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Complex Dynamics Lennart Carleson Author - nuovo livro

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… mais…

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Complex Dynamics - Lennart Carleson|Theodore W. Gamelin
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Lennart Carleson|Theodore W. Gamelin:
Complex Dynamics - Livro de bolso

1993

ISBN: 0387979425

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

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Lennart Carleson:
Complex Dynamics Universitext - primeira edição

2002, ISBN: 9780387979427

Livro de bolso

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Complex Dynamics - Gamelin, Theodore W.; Carleson, Lennart
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Gamelin, Theodore W.; Carleson, Lennart:
Complex Dynamics - nuovo livro

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]

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Complex Dynamics Lennart Carleson Author

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.

Dados detalhados do livro - Complex Dynamics Lennart Carleson Author


EAN (ISBN-13): 9780387979427
ISBN (ISBN-10): 0387979425
Livro de bolso
Ano de publicação: 2007
Editor/Editora: Springer New York Core >1 >T
192 Páginas
Peso: 0,296 kg
Língua: eng/Englisch

Livro na base de dados desde 2007-05-24T07:15:20-03:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2023-11-14T11:22:49-03:00 (Sao Paulo)
Número ISBN/EAN: 9780387979427

Número ISBN - Ortografia alternativa:
0-387-97942-5, 978-0-387-97942-7
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: carleson, lennart, mandelbrot, gamelin, peitgen richter, bishop chris
Título do livro: complex, dynamics, tracts, mathematics


Dados da editora

Autor: Lennart Carleson; Theodore W. Gamelin
Título: Universitext; Universitext: Tracts in Mathematics; Complex Dynamics
Editora: Springer; Springer US
192 Páginas
Ano de publicação: 1993-07-23
New York; NY; US
Peso: 0,610 kg
Língua: Inglês
74,89 € (DE)
76,99 € (AT)
83,00 CHF (CH)
POD
IX, 192 p.

BC; Analysis; 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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