Articoli correlati a Complex Dynamics
Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
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.
Product Description
Book by Carleson Lennart Gamelin Theodore W
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer
- Data di pubblicazione2008
- ISBN 10 0387979425
- ISBN 13 9780387979427
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine192
Compra usato
Condizioni: molto buonoConnecting readers with great books...
Visualizza questo articolo
EUR 36,38
EUR 3,31 per la spedizione in U.S.A.
Destinazione, tempi e costiCompra nuovo
Visualizza questo articolo
EUR 72,54
EUR 6,16 per la spedizione in U.S.A.
Destinazione, tempi e costiAltre edizioni note dello stesso titolo
Risultati della ricerca per Complex Dynamics
Foto dell'editore
Complex Dynamics (Universitext)
Da: HPB-Red, Dallas, TX, U.S.A.
Valutazione del venditore 5 su 5 stelle
paperback. Condizione: Very Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or limited writing/highlighting. We ship orders daily and Customer Service is our top priority! Codice articolo S_370423679
Quantità: 1 disponibili
Immagini fornite dal venditore
Complex Dynamics (Universitext)
Da: Lavendier Books, Foster, RI, U.S.A.
Valutazione del venditore 5 su 5 stelle
paperback. Condizione: Very Good. Springer-Verlag; New York, 1993. Trade paperback. A Very Good, binding intact, some handling/scuffing to covers, bit of cover edge/corner wear, previous owner handwritten ink name on half title page, spine fade, small tear top spine edge, some stress creasing to spine, mild age toning to pages, small crease top front and rear cover corner, small soiled speck mid fore-edge, a nice and overall clean copy in wraps. 8vo[octavo or approx. 6 x 9], 174pp., indexed. We pack securely and ship daily w/delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.Please note: Oversized books/sets MAY require additional postage then what is quoted for 2.2lb book. Codice articolo SKU1042888
Quantità: 1 disponibili
Foto dell'editore
Complex Dynamics
Editore:
Springer/Sci-Tech/Trade, 1993
ISBN 10: 0387979425
ISBN 13: 9780387979427
Antico o usato
Softcover
Da: Skoob-ebooks, Pontiac, QC, Canada
Valutazione del venditore 4 su 5 stelle
Softcover. Condizione: Very Good. Minor wear. Cover is faded in spots, mostly on the spine. No highlighting or writing detected on pages. No hassle 30-day return policy. Free shipping within Canada. For shipments outside of Canada, custom duties or other charges may be levied on receipt. ; 6.1 X 0.44 X 9.17 inches; 192 pages. Codice articolo 5641
Quantità: 1 disponibili
Foto dell'editore
Complex Dynamics (Universitext)
Da: Fireside Bookshop, Stroud, GLOS, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: Very Good. Type: Book Small plain label inside cover. Codice articolo 053816
Quantità: 1 disponibili
Immagini fornite dal venditore
Complex Dynamics
Da: Libreria sottomarina - Studio Bibliografico, ROMA, Italia
Valutazione del venditore 5 su 5 stelle
brossura. Condizione: Perfetto (Mint). Book. Codice articolo ci02oTEK
Quantità: 1 disponibili
Foto dell'editore
Complex Dynamics (Universitext)
Da: Best Price, Torrance, CA, U.S.A.
Valutazione del venditore 4 su 5 stelle
Condizione: New. SUPER FAST SHIPPING. Codice articolo 9780387979427
Quantità: 1 disponibili
Foto dell'editore
Complex Dynamics (Universitext)
Da: Lucky's Textbooks, Dallas, TX, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo ABLIING23Feb2215580175165
Quantità: Più di 20 disponibili
Foto dell'editore
Complex Dynamics (Universitext)
Da: Chiron Media, Wallingford, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: New. Codice articolo 6666-IUK-9780387979427
Quantità: 10 disponibili
Foto dell'editore
Complex Dynamics (Universitext)
Da: Ria Christie Collections, Uxbridge, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. In English. Codice articolo ria9780387979427_new
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Complex Dynamics
Editore:
Springer New York Jul 1993, 1993
ISBN 10: 0387979425
ISBN 13: 9780387979427
Nuovo
Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that is closely connected to the study of fractals and chaos. Indeed the culmination of the book is a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings. The book focuses on the analytic side of this contemporary subject. The text was developed out of a course taught over several semesters; its focus is 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 (the Julia set), classification of periodic components, critical points and expanding maps, some applications of conformal mappings (e.g. Hermann rings), the local geometry of the Fatou set, and quadratic polynomials and the Mandelbrot set. 192 pp. Englisch. Codice articolo 9780387979427
Quantità: 2 disponibili