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  • Fractal Dimensions for Poincare Recurrencesby Valentin Afraimovich; Edgardo Ugalde; Jesus Urias

    Elsevier Science 2006; US$ 195.00

    This book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare recurrences -instants of time when the system almost repeats its initial state. The authors were able to write an entirely self-contained text including many insights and examples, as well as providing complete details... more...

  • Recent Developments in Fractals and Related Fieldsby Julien Barral; Stephane Seuret

    Springer 2010; US$ 199.00

    This book - an outgrowth of an international conference held in honor of Jacques Peyriere - provides readers with an overview of recent developments in the mathematical fields related to fractals. Included are original research contributions as well as surveys written by experts in their respective fields. The chapters are thematically organized into... 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...

  • Fractal Geometryby J M Blackledge; A K Evans; M J Turner

    Elsevier Science 2002; US$ 95.00

    International authorities from Canada, Denmark, England, Germany, Russia and South Africa focus on research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis. They address the rich panoply of manifold applications of fractal geometry available for study and research in science and industry: i.e.,... more...

  • Computability of Julia Setsby Mark Braverman; Michael Yampolsky

    Springer 2009; US$ 99.00

    Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. This book summarizes the knowledge about the computational properties of Julia sets in a self-contained way. It is suitable for experts and students with interest in theoretical computer science or dynamical systems. more...

  • 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...

  • Multifractalsby David Harte

    Taylor and Francis 2001; US$ 146.95

    Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arena. Multifractals: Theory and Applications pulls together ideas from both these areas using a language that makes them accessible and useful to statistical scientists. It provides a framework, in particular, for the evaluation... more...

  • A Random Walk Through Fractal Dimensionsby Brian H. Kaye

    Wiley 2008; US$ 73.95

    Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of... 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...

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

    Springer 2007; US$ 89.95

    Offers a study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. This book interlinks number theory, spectral geometry, and fractal geometry. It gives the Riemann hypothesis a natural geometric reformulation in the context of vibrating fractal strings. It includes theorems, examples and illustrations. more...