Search results
Results from the WOW.Com Content Network
The Beauty of Fractals is a 1986 book by Heinz-Otto Peitgen and Peter Richter which publicises the fields of complex dynamics, chaos theory and the concept of fractals. It is lavishly illustrated and as a mathematics book became an unusual success. The book includes a total of 184 illustrations, including 88 full-colour pictures of Julia sets.
Number theory in science and communication : with applications in cryptography, physics, ... Fractals, chaos, power laws : minutes from an infinite paradise.
Chaos theory (or chaology [1]) is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought to have completely random states of disorder and irregularities. [2]
The book sparked widespread popular interest in fractals and contributed to chaos theory and other fields of science and mathematics. Mandelbrot also put his ideas to work in cosmology. He offered in 1974 a new explanation of Olbers' paradox (the "dark night sky" riddle), demonstrating the consequences of fractal theory as a sufficient, but not ...
Chaos communications is an application of chaos theory which is aimed to provide security in the transmission of information performed through telecommunications technologies. For secure communications, one has to understand that the contents of the message transmitted are inaccessible to possible eavesdroppers.
His books include Chaos and Order in the Capital Markets (According to WorldCat, the book is held in 813 libraries, [3]) Fractal Market Analysis (held in 580 libraries [4]) and Patterns in the Dark: Understanding Risk and Financial Crisis with Complexity Theory. According to Google Scholar his books and articles have over 6000 references.
Visualization of chaotic attractor. Pickover's earliest books often focused on patterns that characterize mathematics such as fractals, chaos, and number theory. Computer graphics, reminiscent of this chaotic attractor, were common in his early works. Forest troll. (Theodor Kittelsen, 1906).
With the aid of the "chaos game" a new fractal can be made and while making the new fractal some parameters can be obtained. These parameters are useful for applications of fractal theory such as classification and identification. [3] [4] The new fractal is self-similar to the original in some important features such as fractal dimension.