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ISBN: 9780691002583

ID: 9780691002583

In 1920, Pierre Fatou expressed the conjecture that-except for special cases-all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it can be interpreted to mean that for a dense set of parameters "a," an attracting periodic orbit exists. The same question appears naturally in science, where the logistic family is used to construct In 1920, Pierre Fatou expressed the conjecture that-except for special cases-all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it can be interpreted to mean that for a dense set of parameters "a," an attracting periodic orbit exists. The same question appears naturally in science, where the logistic family is used to construct models in physics, ecology, and economics. In this book, Jacek Graczyk and Grzegorz Swiatek provide a rigorous proof of the Real Fatou Conjecture. In spite of the apparently elementary nature of the problem, its solution requires advanced tools of complex analysis. The authors have written a self-contained and complete version of the argument, accessible to someone with no knowledge of complex dynamics and only basic familiarity with interval maps. The book will thus be useful to specialists in real dynamics as well as to graduate students. Textbooks New, Books~~Mathematics~~Geometry~~Non-Euclidean, Real-Fatou-Conjecture~~Jacek-Graczyk, 999999999, The Real Fatou Conjecture. (AM-144), Jacek Graczyk, Grzegorz Swiatek, 0691002584, Princeton University Press, , , , , Princeton University Press

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ISBN: 9780691002583

ID: 9780691002583

The Real Fatou Conjecture: Paperback: Princeton University Press: 9780691002583: 05 Oct 1998: In 1920, Pierre Fatou expressed the conjecture that - except for special cases - all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This book provides a proof of the Real Fatou Conjecture. It includes a self-contained and complete version of the argument. In 1920, Pierre Fatou expressed the conjecture that-except for special cases-all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it can be interpreted to mean that for a dense set of parameters "a," an attracting periodic orbit exists. The same question appears naturally in science, where the logistic family is used to construct models in physics, ecology, and economics. In this book, Jacek Graczyk and Grzegorz Swiatek provide a rigorous proof of the Real Fatou Conjecture. In spite of the apparently elementary nature of the problem, its solution requires advanced tools of complex analysis. The authors have written a self-contained and complete version of the argument, accessible to someone with no knowledge of complex dynamics and only basic familiarity with interval maps. The book will thus be useful to specialists in real dynamics as well as to graduate students. Calculus & Mathematical Analysis, , , , The Real Fatou Conjecture, Jacek Graczyk, 9780691002583, Princeton University Press, , , , ,, [PU: Princeton University Press]

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2014, ISBN: 9780691002583

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Trafalgar Square Books, 2014. CSM. Paperback. New. This practice book will build essential skills through activity-packed fun. The activities are designed to give children a real sense of achievement. This helps to boost their confidence and develop good learning habits for life.SKU: MM-21749621; EAN: 9780007559817, Trafalgar Square Books, 2014, Princeton: Princeton University Press, 1998. viii + 148 pages, contents include 1. Review of Concepts 2. Quasiconformal Gluing 3. Polynomial-Like Property 4. Linear Growth of Moduli 5. Quasiconformal Techniques; bibliography, index.. Soft Cover. As New. 8vo - over 7¾" - 9¾" tall., Princeton University Press, 1998

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ISBN: 9780691002583

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In 1920, Perre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This book provides a rigorous proof of the Real Fatou Conjecture--that in spite of the apparently elementary nature of a problem, its solution requires advanced tools of complex analysis., [PU: Princeton University Press]

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ISBN: 9780691002583

ID: 9780691002583

The Real Fatou Conjecture. [AM-144] Author :Elias M. Stein Grzegorz Swiatek Jacek Graczyk John N. Mather Phillip A. Griffiths 9780691002583 0691002584, [PU: Princeton University Press]

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** Details of the book - The Real Fatou Conjecture. (Am-144)**

EAN (ISBN-13): 9780691002583

ISBN (ISBN-10): 0691002584

Paperback

Publishing year: 1998

Publisher: PRINCETON UNIV PR

148 Pages

Weight: 0,254 kg

Language: eng/Englisch

Book in our database since 23.05.2007 15:57:05

Book found last time on 31.01.2017 13:23:30

ISBN/EAN: 0691002584

ISBN - alternate spelling:

0-691-00258-4, 978-0-691-00258-3

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