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The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been …
Every reader will find something of interest in this book - from superdiffusion of the ocean surface to fetal heartbeats, from solar wind to the wearing-out of tools, from …
Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety …
This book deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, patterns etc.) for various kinds of nonlinear …
During the last couple of years, fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields including …
The recent revolution in differential topology related to the discovery of non-standard ("e;exotic"e;) smoothness structures on topologically trivial manifolds such as R4 …
Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration …
Historically, science has developed by reducing complex situations to simple ones, analyzing the components and synthesizing the original situation. While this 'reductionist' …
Fractalize That! A Visual Essay on Statistical Geometry brings a new class of geometric fractals to a wider audience of mathematicians and scientists. It describes a recently …
The topics covered in this volume include formation of fractal structures (kinetics of aggregation and gelation, depositions, cluster growth, chemical reactions, fractures, …