4 products were found matching your search for Fractal Cloud in 1 shops:

The theory of fractals has been used to describe complicated shapes in nature, such as clouds or trees, by introducing a new quantity called the fractal dimension. This revolutionary theory has been applied in many fields and is being compared to Newton's theory of mechanics. This textbook begins with an elementary introduction to fractals, and goes on to deal with more sophisticated problems, identifying a number of examples of fractals in nature and explaining how to identify fractal patterns. Computer simulated fractals are also introduced with short programs for use on personal computers. For the more advanced reader, the text also deals with theoretical topics such as chaos, percolation, statistical models of turbulence and renormalization group methods.

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.

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.

The theory of fractals has been used to describe complicated shapes in nature, such as clouds or trees, by introducing a new quantity called the fractal dimension. This revolutionary theory has been applied in many fields and is being compared to Newton's theory of mechanics. This textbook begins with an elementary introduction to fractals, and goes on to deal with more sophisticated problems, identifying a number of examples of fractals in nature and explaining how to identify fractal patterns. Computer simulated fractals are also introduced with short programs for use on personal computers. For the more advanced reader, the text also deals with theoretical topics such as chaos, percolation, statistical models of turbulence and renormalization group methods.