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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Almost 12 years have passed by since we wrote Chaos peitgsn Fractals. At the time we were hoping that our approach of writing a book which would be both accessible without mathematical sophistication and portray these exiting new fields in an authentic manner would find an audience.
Now we know it did. We know from many reviews and personal letters that the book is used in a w Almost 12 years have passed by since we wrote Chaos and Fractals.
We know from many reviews and personal letters that the book is used in a wide range of ways: Every book that is somewhat technical in nature is likely to have a number of misprints and errors in its first edition. Some of these were caught and brought to our attention by our readers. One of them, Hermann Flaschka, deserves to be thanked in particular for his suggestions and improvements.
This second edition has several changes. We have taken out the two appendices from the firstedition. At the time of the first edition Yuval Fishers contribution, which we published as an appendix was probably the first complete expository account on fractal image compression. Meanwhile, Yuvals book Fractal Image Compression: Theory and Application appeared and is now the publication to refer to.
Hardcoverpages. Published February 3rd by Springer first published January 1st To see what your friends thought of this book, please sign up. To ask other readers questions about Chaos and Fractals peitgej, please sign up.
Lists with This Book. Jan 10, Peter Mcloughlin rated anc it was amazing Shelves: Very well written and digestible tome on Chaos and fractals. Gently introduces the reader to a rather high level of mathematics without breaking a sweat. Understanding and appreciating more and more as I pick up more bits nad mathematical knowledge each time I crack it open.
As I pick up more mathematics here and there I get a deeper understanding never completely of this rich subject. It is like coming to a really deep novel that one only Very well written and digestible tome on Chaos and fractals. It is like coming to a really deep novel that one only gets on repeated readings as one picks up more experience each time. It is the same book but the reader changes and sees something new, something more each time.
May 18, Cara rated it really liked it. I don’t think I understood most of what I read, but I really just did that.
I read that whole textbook. Jan 31, Walter rated it it was amazing Shelves: Chaos theory is one of the most powerful and least understood paradigms to have emerged in natural science in the last 50 years.
Developed in the s and expanded in the s, Chaos theory challenges the notion that complex processes that scientists see in such fields as physics, geology, biology and economics are not the results of random processes but are actually deterministic phenomena, the result of complicated conditions.
The exciting part of this theory is that, unlike stochastic pheno Chaos theory is one of the most powerful and least understood paradigms to have emerged in natural science in the last 50 years. The exciting part of this theory is that, unlike stochastic phenomena, processes that arise from deterministic conditions are, at least theoretically, able to be modeled, and thus predictable. This idea has breathed new life into scientific inquiry into a number of fields.
Chaos and Fractals: New Frontiers of Science
This book is a good and easy to read introduction to Chaos Theory and the Fractal Geometry that illustrates it. Peitgen explores the basic assumptions of Chaos Theory; the dependence on intial conditions, the non-linear dynamics that characterise it, and cbaos effects of earlier observations of a phenomenon on its later direction. The mathematics of this theory are complicated, but Peitgen introduces the basic concepts of chaos theory in a way that the non-sophisticated mathematician can understand.
He does this in a very readable and compelling way. Another fascinating aspect of this work is Peitgen’s exploration of Fractal Geometry. Fractals are geometric shapes that include complicated spurs, peaks and other irregularities that one does not see in the neat lines, angles and arcs of Euclidian geometry.
Peitgen illustrates the geometry of some of the processes that he maps out with beautiful maps of Fractal shapes. His illustrations show us how these processes can result in the kind of fdactals but beautiful shapes that we see in crystals, plants, shorelines and other natural occurances. These shapes chais lend credence to the theory that Chaos processes could have led to the generation of some of these natural chhaos.
Pietgen further illustrates his topics with classical theories from some of the greatest scientists and mathematicians in history.
Men like Blaise Pascal, Raul Julia and Benoit Mandelbrot have advanced theories in their times that have contributed to Chaos theory, so the reader can understand that Chaos theory was not pulled out of some theoretical hat. Furthermore, after every chapter, Peitgen lays out a Basic program that generates some of the processes and shapes that Fracttals describes in the chapter.
If the reader can plug these short programs into a Basic compiler, he can visually see the concepts that Peitgen is teaching him. This is a powerful learning tool. This book is absolutely essential for anyone who wants to understand Chaos Theory and Fractal geometry. It is very highly recommended. The authors of this book tried to take a branch of math and make it approachable for non-math people.
I didn’t read the entire book word-for-word.
Chaos and Fractals: New Frontiers of Science by Heinz-Otto Peitgen
I was mostly interested in the example programs at the end of each chapter. My results are here: Jan 27, Charles Frode rated it it was peifgen. Wanna understand chaos theory and fractals? Seriously, this college level text is full of oeitgen succinct explanations about how life unfolds according chaos and the wonderful patterns or structures it leaves fractals. Check out Feigenbaum’s constant if you want to understand the evolution of everything. Dense text, math, but it’s worth the digging to get the jewels.
Jun 07, Krishna rated it really liked it. This was my first introduction to the theory of chaos and non linear dynamics. Provides a comprehensive approach to understanding chaos in many natural phenonomena happening around us, while keeping the reader interested.
May 27, Asgar rated it it was amazing. To be honest, I’m only two-thirds a way through it. I’m keeping more as a reference book, which is what it’s meant to be for in the first place Mar 18, Oren added it.
Mar 15, Tex Kaplan rated it it was amazing. Beautifully written and illustrated with tons of cool stuff. Discusses many topics which can be explored independently.
Dec 16, Ron Banister rated it really liked it. Tough to read but worth the effort!! Luke rated it it was amazing Jun 11, Piet de Roo rated it liked it Aug 18, Diana Mecum rated it it was amazing Sep 23, Sleeping with Ghosts rated it it was amazing Jul 04, Anna Budzik rated it really liked it Feb 17, Oliver rated it really liked it Apr 24, Simon rated it really liked it Apr 03, Vic Dillahay rated it really liked it Jun 27, Vb rated it fractald was amazing Jul 20, Aml rated it it was amazing Oct 19, M Hameed rated it really liked it Mar 08, Dragon Adithya rated it it was amazing Sep 18, Bassel Eldeeb rated it it was amazing Nov 03, Daniel rated it it was amazing Aug 10, Vaughan rated it liked it Jan 27, Bill Fractal rated it it was amazing Dec 15, Alfredo rated it really liked it Dec 08, Marlys Gallagher rated it liked it Jun 25, There are no discussion topics on this book yet.
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