Authors:Harry Eugene Stanley, N. Ostrowsky,
Publisher: Springer
Keywords: fractal, science, series, nato, closed, patterns, form, non, growth, physics
Number of Pages: 324
Published: 1985-11-30
List price: $202.00
ISBN-10: 9024732344
ISBN-13: 9789024732340

Authors:Michel L. Lapidus, Machiel van Frankenhuijsen,
Publisher: Springer
Keywords: fractal, geometry, springer, mathematics, strings, monographs, functions, complex, dimensions, zeta, spectra
Number of Pages: 464
Published: 2006-08-10
List price: $59.95
ISBN-10: 0387332855
ISBN-13: 9780387332857

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: - The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings - Complex dimensions of a fractal string, defined as the poles of an associated zeta function, are studied in detail, then used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra - Explicit formulas are extended to apply to the geo

Author: Ning Lu
Publisher: Academic Press
Keywords: imaging, fractal
Number of Pages: 432
Published: 1997-06-16
List price: $83.95
ISBN-10: 0124580106
ISBN-13: 9780124580107

Fractal image compression technology, one of the major digital image compression techniques, has been a well kept secret for many years. While there are many books written on other technologies, such as DCT/JPEG andwavelet theory, few books touch the subject of fractal image compression. Fractal Imaging presents the logic, technology, and various uses of fractal imaging by analyzing a complete, usable fractal image representation system. This detailed work will be a must for engineers interested in building fractal imaging systems. It will also be of interest to the general public, showing how

Author: John C. Russ
Publisher: Plenum Press
Keywords: surfaces, fractal
Number of Pages: 309
Published: 1994-02-28
List price: $179.00
ISBN-10: 0306447029
ISBN-13: 9780306447020

’Interesting, informative, and clearly written. It is well and amply illustrated...The computer discs provide entertaining illustrations and exercises...a good, solid presentation of a useful, interesting, ubiquitous subject.’ --Mathematical Reviews The author integrates discussions of fractal geometry, surface modeling techniques, and applications to real world problems to provide a comprehensive, accessible overview of the field. His work will equip researchers with the basic tools for measurement and interpretation of data, stimulating more work on these problems

Author: Benoit B. Mandelbrot
Publisher: W. H. Freeman
Keywords: nature, geometry, fractal
Number of Pages: 468
Published: 1983
List price: unknow
ISBN-10: 0716711869
ISBN-13: 9780716711865

Clouds are not spheres, mountains are not cones, and lightening does not travel in a straight line. The complexity of nature’s shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes. Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

Author: Claude Tricot
Publisher: Springer
Keywords: dimension, fractal, curves
Number of Pages: 323
Published: 1994-11-18
List price: $99.00
ISBN-10: 0387940952
ISBN-13: 9780387940953

Written for mathematicians, engineers, researchers in experimental science, and anyone interested in fractals, this book presents the fundamentals of curve analysis with a new and clear introduction to fractal dimension. It explains the geometrical and analytical properties of trajectories, aggregate contours, geographical coastlines, profiles of rough surfaces, and other curves of finite and fractal length. The approach is through precise definitions from which properties are deduced and applications and computational methods are derived. Written without the traditional heavy symbolism of mat

Author: Tamas Vicsek
Publisher: World Scientific Pub Co Inc
Keywords: phenomena, growth, fractal
Number of Pages: 380
Published: 1992-08
List price: $102.00
ISBN-10: 9810206682
ISBN-13: 9789810206680

The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the past couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes. This book, written by a well known expert in the field, summariz