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Fractal Geometry
Wiley 2004; US$ 214.00Since its original publication in 1990, Kenneth Falconer's Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines. This new edition has been... more...
Multifractals
CRC Press 2001; US$ 129.95Although multifractal measures are rooted in probability theory, much of the literature is found in physics and mathematics. Harte, a statistician and earthquake forecaster in New Zealand, pulls together ideas from multiple disciplines to place the material into a probabilistic and statistical context, using language familiar to statistical scienti more...
Fractal Geometry, Complex Dimensions and Zeta Functions
Springer 2007; US$ 69.99Offers 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...
Fractals and Universal Spaces in Dimension Theory
Springer 2009; US$ 79.95Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classical (separable metric) and the modern (not-necessarily separable metric). This book unifies the modern theory from 1960-2007. more...
The Colours of Infinity
Springer 2010; US$ 47.99The groundbreaking documentary (accompanying this book), introduced by Arthur C. Clarke, has been shown in over 50 countries around the world. Twenty five years ago it brought the subject of fractals to the attention of the general public for the first time. The contributors to the film are joined in this comprehensive survey of fractal theory and... more...
The Mandelbrot Set, Theme and Variations
Cambridge University Press 2000; US$ 94.00Systematic exposition of current knowledge about the Mandelbrot set, discussing the latest research and results. more...
Fractal Geometry, Complex Dimensions and Zeta Functions
Springer 2012; US$ 69.99Number 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...
Fractal Dimensions for Poincare Recurrences
Elsevier Science 2006; US$ 185.00This 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...
Computability of Julia Sets
Springer 2009; US$ 79.99Among 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...
A Random Walk Through Fractal Dimensions
Wiley 2008; US$ 73.95Fractal 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...
