Iteration of Rational Functions: Complex Analytic Dynamical Systems

Note moyenne 4,67
( 3 avis fournis par GoodReads )
 
9780387951515: Iteration of Rational Functions: Complex Analytic Dynamical Systems

Book by Beardon Alan F

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Meilleurs résultats de recherche sur AbeBooks

1.

Beardon, Alan F.
ISBN 10 : 0387951512 ISBN 13 : 9780387951515
Neuf(s) Quantité : 1
Vendeur
European-Media-Service Mannheim
(Mannheim, Allemagne)
Evaluation vendeur
[?]

Description du livre État : New. Publisher/Verlag: Springer, Berlin | Complex Analytic Dynamical Systems | This book makes available a comprehensive, detailed, and organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The material covered extends from the original memoirs of Fatou and Julia to the recent and important results and methods of Sullivan and Shishikura. Many of the details of the proofs have not occurred in print before. The theory of of dynamical systems and chaos has recently undergone a rapid growth in popularity, in part due to the spectacular computer graphics of Julia sets, fractals, and the Mandelbrot set. This text focuses on the specialized area of complex analytic dynamics, a subject that dates back to 1916 and is currently a very active area in mathematics. | This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before. | 1 Examples.- 1.1. Introduction.- 1.2. Iteration of Möbius Transformations.- 1.3. Iteration of z ? z2.- 1.4. Tchebychev Polynomials.- 1.5. Iteration of z ? z2 ? 1.- 1.6. Iteration of z ? z2 + c.- 1.7. Iteration of z ? z + 1/z.- 1.8. Iteration of z ? 2z ? 1/z.- 1.9. Newton's Approximation.- 1.10. General Remarks.- 2 Rational Maps.- 2.1. The Extended Complex Plane.- 2.2. Rational Maps.- 2.3. The Lipschitz Condition.- 2.4. Conjugacy.- 2.5. Valency.- 2.6. Fixed Points.- 2.7. Critical Points.- 2.8. A Topology on the Rational Functions.- 3 The Fatou and Julia Sets.- 3.1. The Fatou and Julia Sets.- 3.2. Completely Invariant Sets.- 3.3. Normal Families and Equicontinuity.- Appendix I. The Hyperbolic Metric.- 4 Properties of the Julia Set.- 4.1. Exceptional Points.- 4.2. Properties of the Julia Set.- 4.3. Rational Maps with Empty Fatou Set.- Appendix II. Elliptic Functions.- 5 The Structure of the Fatou Set.- 5.1. The Topology of the Sphere.- 5.2. Completely Invariant Components of the Fatou Set.- 5.3. The Euler Characteristic.- 5.4. The Riemann-Hurwitz Formula for Covering Maps.- 5.5. Maps Between Components of the Fatou Set.- 5.6. The Number of Components of the Fatou Set.- 5.7. Components of the Julia Set.- 6 Periodic Points.- 6.1. The Classification of Periodic Points.- 6.2. The Existence of Periodic Points.- 6.3. (Super) Attracting Cycles.- 6.4. Repelling Cycles.- 6.5. Rationally Indifferent Cycles.- 6.6. Irrationally Indifferent Cycles in F.- 6.7. Irrationally Indifferent Cycles in J.- 6.8. The Proof of the Existence of Periodic Points.- 6.9. The Julia Set and Periodic Points.- 6.10. Local Conjugacy.- Appendix III. Infinite Products.- Appendix IV. The Universal Covering Surface.- 7 Forward Invariant Components.- 7.1. The Five Possibilities.- 7.2. Limit Functions.- 7.3. Parabolic Domains.- 7.4. Siegel Discs and Herman Rings.- 7.5. Connectivity of Invariant Components.- 8 The No Wandering Domains Theorem.- 8.1. The No Wandering Domains Theorem.- 8.2. A Preliminary Result.- 8.3. Conformal Structures.- 8.4. Quasiconformal Conjugates of Rational Maps.- 8.5. Boundary Values of Conjugate Maps.- 8.6. The Proof of Theorem 8.1.2.- 9 Critical Points.- 9.1. Introductory Remarks.- 9.2. The Normality of Inverse Maps.- 9.3. Critical Points and Periodic Domains.- 9.4. Applications.- 9.5. The Fatou Set of a Polynomial.- 9.6. The Number of Non-Repelling Cycles.- 9.7. Expanding Maps.- 9.8. Julia Sets as Cantor Sets.- 9.9. Julia Sets as Jordan Curves.- 9.10. The Mandelbrot Set.- 10 Hausdorff Dimension.- 10.1. Hausdorff Dimension.- 10.2. Computing Dimensions.- 10.3. The Dimension of Julia Sets.- 11 Examples.- 11.1. Smooth Julia Sets.- 11.2. Dendrites.- 11.3. Components of F of Infinite Conne. N° de réf. du libraire K9780387951515

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 28,24
Autre devise

Ajouter au panier

Frais de port : EUR 5,55
De Allemagne vers Etats-Unis
Destinations, frais et délais

2.

Alan F. Beardon
Edité par Springer Sep 2000 (2000)
ISBN 10 : 0387951512 ISBN 13 : 9780387951515
Neuf(s) Taschenbuch Quantité : 1
Vendeur
Rheinberg-Buch
(Bergisch Gladbach, Allemagne)
Evaluation vendeur
[?]

Description du livre Springer Sep 2000, 2000. Taschenbuch. État : Neu. 235x155x16 mm. Neuware - This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before. 300 pp. Englisch. N° de réf. du libraire 9780387951515

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 26,74
Autre devise

Ajouter au panier

Frais de port : EUR 17,13
De Allemagne vers Etats-Unis
Destinations, frais et délais

3.

Alan F. Beardon
Edité par Springer Sep 2000 (2000)
ISBN 10 : 0387951512 ISBN 13 : 9780387951515
Neuf(s) Taschenbuch Quantité : 1
Vendeur
Agrios-Buch
(Bergisch Gladbach, Allemagne)
Evaluation vendeur
[?]

Description du livre Springer Sep 2000, 2000. Taschenbuch. État : Neu. 235x155x16 mm. Neuware - This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before. 300 pp. Englisch. N° de réf. du libraire 9780387951515

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 26,74
Autre devise

Ajouter au panier

Frais de port : EUR 17,13
De Allemagne vers Etats-Unis
Destinations, frais et délais

4.

A.F. Beardon
Edité par Springer-Verlag New York Inc. 2000-09-27, New York, NY (2000)
ISBN 10 : 0387951512 ISBN 13 : 9780387951515
Neuf(s) paperback Quantité : 10
Vendeur
Blackwell's
(Oxford, OX, Royaume-Uni)
Evaluation vendeur
[?]

Description du livre Springer-Verlag New York Inc. 2000-09-27, New York, NY, 2000. paperback. État : New. N° de réf. du libraire 9780387951515

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 41,23
Autre devise

Ajouter au panier

Frais de port : EUR 5,30
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

5.

A.F. Beardon
Edité par Springer-Verlag New York Inc., United States (2000)
ISBN 10 : 0387951512 ISBN 13 : 9780387951515
Neuf(s) Paperback Quantité : 10
impression à la demande
Vendeur
The Book Depository US
(London, Royaume-Uni)
Evaluation vendeur
[?]

Description du livre Springer-Verlag New York Inc., United States, 2000. Paperback. État : New. 231 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****. This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before. Softcover reprint of the original 1st ed. 1991. N° de réf. du libraire AAV9780387951515

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 52,84
Autre devise

Ajouter au panier

Frais de port : Gratuit
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

6.

A.F. Beardon
Edité par Springer-Verlag New York Inc., United States (2000)
ISBN 10 : 0387951512 ISBN 13 : 9780387951515
Neuf(s) Paperback Quantité : 10
impression à la demande
Vendeur
The Book Depository
(London, Royaume-Uni)
Evaluation vendeur
[?]

Description du livre Springer-Verlag New York Inc., United States, 2000. Paperback. État : New. 231 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****.This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before. Softcover reprint of the original 1st ed. 1991. N° de réf. du libraire AAV9780387951515

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 52,94
Autre devise

Ajouter au panier

Frais de port : Gratuit
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

7.

A.F. Beardon
Edité par Springer-Verlag New York Inc. (2000)
ISBN 10 : 0387951512 ISBN 13 : 9780387951515
Neuf(s) Quantité : > 20
impression à la demande
Vendeur
PBShop
(Wood Dale, IL, Etats-Unis)
Evaluation vendeur
[?]

Description du livre Springer-Verlag New York Inc., 2000. PAP. État : New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire IQ-9780387951515

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 51,17
Autre devise

Ajouter au panier

Frais de port : EUR 3,66
Vers Etats-Unis
Destinations, frais et délais

8.

Alan F. Beardon
Edité par Springer Sep 2000 (2000)
ISBN 10 : 0387951512 ISBN 13 : 9780387951515
Neuf(s) Taschenbuch Quantité : 1
impression à la demande
Vendeur
AHA-BUCH GmbH
(Einbeck, Allemagne)
Evaluation vendeur
[?]

Description du livre Springer Sep 2000, 2000. Taschenbuch. État : Neu. 235x155x16 mm. This item is printed on demand - Print on Demand Neuware - This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before. 300 pp. Englisch. N° de réf. du libraire 9780387951515

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 26,74
Autre devise

Ajouter au panier

Frais de port : EUR 29,50
De Allemagne vers Etats-Unis
Destinations, frais et délais

9.

A.F. Beardon
Edité par Springer-Verlag New York Inc. (2000)
ISBN 10 : 0387951512 ISBN 13 : 9780387951515
Neuf(s) Quantité : > 20
impression à la demande
Vendeur
Books2Anywhere
(Fairford, GLOS, Royaume-Uni)
Evaluation vendeur
[?]

Description du livre Springer-Verlag New York Inc., 2000. PAP. État : New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire LQ-9780387951515

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 47,75
Autre devise

Ajouter au panier

Frais de port : EUR 10,60
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

10.

ALAN F. BEARDON
Edité par Springer (2000)
ISBN 10 : 0387951512 ISBN 13 : 9780387951515
Neuf(s) Paperback Quantité : 1
Vendeur
Herb Tandree Philosophy Books
(Stroud, GLOS, Royaume-Uni)
Evaluation vendeur
[?]

Description du livre Springer, 2000. Paperback. État : NEW. 9780387951515 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. N° de réf. du libraire HTANDREE0411248

Plus d'informations sur ce vendeur | Poser une question au libraire

Acheter neuf
EUR 49,74
Autre devise

Ajouter au panier

Frais de port : EUR 9,42
De Royaume-Uni vers Etats-Unis
Destinations, frais et délais

autres exemplaires de ce livre sont disponibles

Afficher tous les résultats pour ce livre