Fascinating and authoritative, Chaos and Fractals: New Frontiers of Science is a truly remarkable book that documents recent discoveries in chaos theory with. : Chaos and Fractals: New Frontiers of Science (): Heinz-Otto Peitgen, etc., H. Juergens, D. Saupe: Books. View colleagues of Heinz-Otto Peitgen . Cameron Browne, Chaos and Graphics: Impossible fractals, Computers and Graphics, v n.4, p, August.
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At the beginning of his career in he contributed to computational algebraic topology. I don’t think I understood most of what I read, but I really just did that. Only then do they introduce concepts of dimension.
Chaos and Fractals: New Frontiers of Science
To be honest, I’m only two-thirds a way through fracrals. Goodreads helps you keep track of books you want to read. On chaos he covers, among other topics, iterated functions, discrete dynamical systems and the logistic function, sensitive dependence to initial conditions, Lyapunov exponents, the shadowing lemma, bifurcation diagrams and the universality of the period-doubling route to chaos, and renormalization. On January 1,Dr. Aml rated it it was amazing Oct 19, Returning to iterated functions, they introduce the idea of multiple copy machine reduction and explain how images can be encoded using iterated function systems.
Two appendices complement the book. Vic Dillahay rated it really liked it Jun 27, After receiving his habilitation inhe was awarded a professorship in mathematics at the University of Bremenwhere he served until The authors of this book tried to take a branch of math and make it approachable for non-math people.
It is like coming to a really deep novel that one only Very well written and digestible tome on Chaos and fractals. Some more technical material, amounting to around a third of the book, is separated out from cjaos main text, pushed to the inside instead of the outside of the page and in a different font.
Chaos and Fractals: New Frontiers of Science by Heinz-Otto Peitgen
About this product Synopsis For almost 10 years, chaos and fractals have been riding a wave that has enveloped many areas of mathematics and the natural sciences in its power, creativity, and expanse, and has captured the attention and enthusiasm of a cbaos lay audience.
Sleeping with Ghosts rated it it was amazing Jul 04, I was mostly interested in the example programs at the end of each chapter.
Simon rated it really liked it Apr 03, This leads naturally to chaos game algorithms, ways of growing fractals from simple generators using recursion, and the use of randomness in constructing fractals, dhaos with Brownian motion and landscapes. So Feldman begins with the basic idea of a function and different ways of viewing functions and works up from there.
At the time we were hoping that our approach of writing a book which would be fractxls accessible without mathematical sophistication and portray these exiting new fields in an authentic manner would find an audience.
There are no discussion topics on this book yet. I read that whole textbook. Despite its size and length, Chaos and Fractals: Furthermore, after every chapter, Peitgen lays out a Basic program that generates some of the processes and shapes that Peitgen describes in the chapter.
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And it makes no attempt at rigour or formalism, with the emphasis instead on numerical examples and visualisation. Trivia About Chaos and Fractal He does this in a very readable and compelling way.
Please help by adding reliable sources. The three textbooks I discuss here cover broadly similar material, but they are pitched at different levels and take rather different approaches, emphasizing, roughly, exposition starting from elementary foundations, applications in the physical sciences, and perspectives from computational and applied mathematics.
They also look at cellular automata, Pascal’s Triangle, and some number theory. Alfredo rated it really liked it Dec 08, Mar 15, Tex Kaplan rated it it was amazing. Books by Heinz-Otto Peitgen. Traveling far beyond the traditional bounds of mathematics and science to the distant shores of popular culture, this wave captures ppeitgen attention and enthusiasm of a worldwide audience.
May 27, Asgar rated it it was amazing. That includes relatively simple peitgn such as time series, plots, histograms, final state diagrams, and binary numbers. There is a little background history and philosophy, notably in a preface by Feigenbaum and an introduction, and occasional discussion of applications, such as using the Hilbert curve for dithering, but New Frontiers of Science remains focused on the mathematics.