Chaos and fractals new frontiers of science

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chaos and fractals new frontiers of science

Chaos and Fractals: New Frontiers of Science by Heinz-Otto Peitgen

Almost 12 years have passed by since we wrote Chaos and 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 wide range of ways: researchers use it to acquaint themselves, teachers use it in college and university courses, students use it for background reading, and there is also a substantial audience of lay people who just want to know what chaos and fractals are about. 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.
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Chaos and fractals - new frontiers of science

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The biggest change I could find consisted of two new sentences at the end of the book. The number of references has gone down from to , but I saw no new references, leading the reader to wonder whether anything new has been done in chaos and fractals since The preface mentions that several errors in the first edition have been corrected. Despite the lack of new material, the book is still a wonderful tour of a fascinating area of mathematics, and now the reader can take this tour while carrying around a slimmer but still hefty volume. The authors aim for a general audience, although they assume a knowledge of such topics as the algebra of functions and logarithms, sums of infinite geometric series, and limits. In the section on continuous dynamical systems, they define derivative and differential equation, and then go on to use those concepts. Similarly, the chapter on Julia sets offers a short introduction to complex numbers.

Chaos and Fractals : New Frontiers of Science. Almost 12 years have passed by since we wrote Chaos and 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 wide range of ways: researchers use it to acquaint themselves, teachers use it in college and university courses, students use it for background reading, and there is also a substantial audience of lay people who just want to know what chaos and fractals are about. 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.

It seems that you're in Germany. We have a dedicated site for Germany. For almost 15 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. Traveling far beyond the traditional bounds of mathematics and science to the distant shores of popular culture, this wave captures the attention and enthusiasm of a worldwide audience. The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot Set, Julia Sets, Cellulair Automata, L- systems, Percolation and Strange Attractors.

3 thoughts on “Chaos and Fractals: New Frontiers of Science by Heinz-Otto Peitgen

  1. Authors: Peitgen, Heinz-Otto, Jürgens, Hartmut, Saupe, Dietmar. Almost 12 years have passed by since we wrote Chaos and Fractals. Meanwhile, Yuvals book Fractal Image Compression: Theory and Application appeared and is now the publication to refer to.

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