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Differentiable dynamical systems

  • Fractal Geometryby Kenneth Falconer

    Wiley 2013; US$ 57.95

    The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics, science... more...

  • Ergodic Theory and Dynamical Systemsby Idris Assani

    De Gruyter 2013; US$ 140.00

    This is the proceedings of theworkshop on recent developments in ergodic theory and dynamical systemson March 2011and March 2012 at the University of North Carolina at Chapel Hill. Thearticles in this volume cover several aspects of vibrant research in ergodic theory and dynamical systems. It contains contributions to Teichmuller dynamics, interval... more...

  • Progress and Challenges in Dynamical Systemsby Santiago Ibáñez; Jesús S. Pérez del Río; Antonio Pumariño; J. Ángel Rodríguez

    Springer 2013; US$ 169.00

    This book contains papers based on talks given at the International Conference Dynamical Systems: 100 years after Poincare held at the University of Oviedo, Gijon in Spain, September 2012. It provides an overview of the state of the art in the study of dynamical systems. This book covers a broad range of topics, focusing on discrete and continuous... more...

  • A Tale of Two Fractalsby A.A. Kirillov

    Springer 2013; US$ 39.95

    Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve... more...

  • Complex and Adaptive Dynamical Systemsby Claudius Gros

    Springer 2013; US$ 79.95

    Complex system theory is rapidly developing and gaining importance, providing tools and concepts central to our modern understanding of emergent phenomena. This primer offers an introduction to this area together with detailed coverage of the mathematics involved.All calculations are presented step by step and are straightforward to follow. This new... more...

  • Integrable Systemsby N.J. Hitchin; G. B. Segal; R.S. Ward

    Oxford University Press 2013; US$ 41.99

    This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors. The book has its origins in a series of lecture courses given by the authors, all of whom are internationally known mathematicians and renowned expositors. It is written in an accessible and informal... more...

  • Further Developments in Fractals and Related Fieldsby Julien Barral; Stéphane Seuret

    Springer 2013; US$ 99.00

    This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions... more...

  • Topology and Dynamics of Chaosby Christophe Letellier; Robert Gilmore

    World Scientific Publishing Company 2013; US$ 166.00

    The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included. The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works... more...

  • Fractal Geometry, Complex Dimensions and Zeta Functionsby Michel L. Lapidus; Machiel van Frankenhuijsen

    Springer 2012; US$ 89.95

    Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.Key Features of this Second Edition:The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal stringsComplex dimensions of... more...

  • The Topology of Chaosby Robert Gilmore; Marc Lefranc

    Wiley 2012; US$ 137.00

    A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems. The authors provide a deep understanding of the structure of strange attractors, how they are classified, and how the information required... more...