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    MATHEMATICAL TOOLS FOR ONE-DIMENSIONAL DYNAMICS
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    528517

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    Sinopse

    Originating with the works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, which have done much to renew interest in the subject. This book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. An appendix considers Riemann surfaces and Teichmüller theory. Detailing the very latest research, the book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics.
    Contents: Preface; 1. Introduction; 2. Preliminaries in complex analysis; 3. Uniformization and conformal distortion; 4. The measurable Riemann mapping theorem; 5. Holomorphic motions; 6. The Schwarzian derivative and cross-ratio distortion; 7. Appendix: Riemann Surfaces and Teichmüller spaces; Bibliography; Index.
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    ISBN9780521888615
    Peso399g
    Livro disponível - pronta entregaSim
    Dimensões15.2 x 22.8 x 1.5
    IdiomaInglês
    Tipo itemLIVRO IMPORTADO ADQ MERC INTERNO
    Número de páginas208
    Número da edição1ª EDIÇÃO - 2008
    Código Interno528517
    Código de barras9780521888615
    AcabamentoHARDCOVER
    AutorFARIA, EDSON DE | MELO, WELLINGTON DE
    EditoraCAMBRIDGE UNIVERSITY PRESS
    Sob encomendaNão

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