Summary[ edit ] The books starts with a general introduction to Complex Dynamics , Chaos and fractals. In particular the Feigenbaum scenario and the relation to Julia sets and the Mandelbrot set is discussed. Franke , which provide additional formality and some historically interesting detail. Benoit Mandelbrot gives a very personal account of his discovery of fractals in general and the fractal named after him in particular. Adrien Douady explains the solved and unsolved problems relating to the almost amusingly complex Mandelbrot set.
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Unlike some other books on fractals, it can be read by non-specialists The book is beautifully produced and well illustrated so it is a pleasure to read. This new edition is virtually identical to the original except for some material The authors have a friendly conversational style This is a great book The authors have done a tremendous job in explaining quite difficult concepts in an elegant and simple way I enjoyed this book tremendously - the authors have put in a tremendous amount of work in making a vast and interesting subject accessible I wholeheartedly recommend this book to anyone with even a passing interest in the subject matter.
Virmani, Contemporary Physics, Vol. They made the fractals, chaos and the Mandelbrot and Julia sets quite popular The book will remain what it has been so far: an outstanding book that contains all you ever wanted to know about fractals and chaos accessible to all levels of mathematically skilled.
In the fourteen chapters the central ideas and concepts of chaos and fractals are developed All the laudatory comments heard twelve years ago about this fascinating book remain entirely valid. No one has succeeded in better presenting Twelve years after its first edition this book remains a must buy. The present work attempts to accomplish all three goals in one huge volume Written by-next to Mandelbrot-the greatest popularizer of the concept of fractal geometry It contains a wealth of information on nearly every angle of the topic I enjoyed reading the book for its lucid ap.
Unlike some other books on fractals, it can be read by non-specialists The book is beautifully produced and well illustrated so it is a pleasure to read. This new edition is virtually identical to the original except for some material The authors have a friendly conversational style
Chaos and Fractals
More Prof. His books on chaos and fractals were world wide bestsellers for several decades. Some of them were outstanding doctors like Klaus J. Klose, the late Jan H. In retrospect it seems that the admiration which I felt for Eigen, Mandelbrot, or Ligeti was certainly for their outstanding work, but probably even more for their maverick-like character, their courage to leave the mainstream and open new perspectives. He was an extraordinary teacher for students suceptible for mathematics. It felt like mathematics was created while he lectured.
Chaos and Fractals : New Frontiers of Science
Life[ edit ] Peitgen studied mathematics, physics and economics from until in Bonn , where he received his PhD in There, he was involved in establishing and developing the Institute for Dynamical Systems, where in he set up a computer graphics laboratory for mathematical experiments. His research specialties include mathematics, computer science and medical image computing and emphasize algebraic topology , non-linear functional analysis, partial differential equations , functional differential equations , dynamical systems , numerical analysis , chaos theory , fractal geometry , computer graphics , image processing , and image and data analysis , as well as medical image computing , focusing on medical diagnostics and surgery with a particular emphasis on oncology , as well as neurodegenerative and cardio-vascular diseases. At the beginning of his career in he contributed to computational algebraic topology. Later in the s he spearheaded fractal geometry in computer graphics, and in the early s he introduced chaos theory and fractal geometry into mathematics education and spearheaded reforms in teacher training in the US.