Chaos and Fractals: New Frontiers of Science

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9780387202297: Chaos and Fractals: New Frontiers of Science

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, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focused computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.

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Book Description:

From the reviews:

"Numerous books have appeared in recent years that either explore the beauty of fractal art, describe techniques for its creation, or investigate some aspect of the related field of chaotic behavior. The present work attempts to accomplish all three goals in one huge volume...the authors should be applauded for their ambitions undertaking." Mathematical Reviews

"This book … contains all one ever wanted to know about fractals, and more. 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 approach, its attempt at completeness, and especially, for the large number of illustrative figures and pictures." Zentralblatt Mathematik

From the reviews of the second edition:

"This is the second … edition of what has been a bestseller since its first publication in 1992. … All the laudatory comments heard twelve years ago about this fascinating book remain entirely valid. No one has succeeded in better presenting … . the presentation has not aged at all – the comprehensiveness of the underlying mathematics and the illustrative power of the figures has never been surpassed. Twelve years after its first edition this book remains a must buy." (André Hautot, Physicalia, Vol. 57 (3), 2005)

"The book is written for everyone who wants to learn details of chaos theory and fractal geometry, also for readers who have not much knowledge of technical mathematics. In the fourteen chapters the central ideas and concepts of chaos and fractals are developed … ." (F. Haslinger, Monatshefte für Mathematik, Vol. 144 (4), 2005)

"It is one of the best introductions to chaos and fractals around. … 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." (Hugh Williams, The Mathematical Gazette, Vol. 90 (5l9), 2006)

"The first edition of this vast introduction to chaos and fractals appeared in 1992. This new edition is virtually identical to the original except for some material … . the book is … 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 have a friendly conversational style … . This is a great book … ." (Raymond N. Greenwell, MathDL, May, 2005)

"Chaos and Fractals: New Frontiers of Science is an amazing introduction to the ideas of fractal geometry and chaotic dynamics … . 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." (Dr. S. Virmani, Contemporary Physics, Vol. 46 (6), 2005)

"There appeared many books in the 1980’s and early 1990’s that … required only a limited mathematical background to understand. They made the fractals, chaos and the Mandelbrot and Julia sets quite popular … . The … book that is under review here is one of these popular books. … 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." (Bulletin of the Belgian Mathematical Society, Vol. 12 (3), 2005)

Contenuti:

Causality Principle, Deterministic Laws and Chaos.- The Backbone of Fractals: Feedback and the Iterator.- Classical Fractals and Self-Similarity.- Lim and Self-Similarity.- Length, Area and Dimension: Measuring Complexity and Scaling Properties.- Encoding Images by Simple Transformations.- The Chaos Game: How Randomness Creates Deterministic Shapes.- Recursive Structures: Growing Fractals and Plants.- Pascal’s Triangle: Cellular Automata and Attractors.- Irregular Shapes: Randomness in Fractal Constructions.- Deterministic Chaos: Sensitivity, Mixing, and Periodic Points.- Order and Chaos: Period-Doubling and Its Chaotic Mirror.- Strange Attractors: The Locus of Chaos.- Julia Sets: Fractal Basin Boundaries.- The Mandelbrot Set: Ordering the Julia Sets.

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Peitgen, Heinz-Otto; Jurgens, Hartmut; Saupe, Dietmar; Jnrgens, Hartmut
Editore: Springer-Verlag New York Inc., United States (2004)
ISBN 10: 0387202293 ISBN 13: 9780387202297
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Descrizione libro Springer-Verlag New York Inc., United States, 2004. Hardback. Condizione libro: New. 2nd ed. 2004. 234 x 202 mm. Language: English . Brand New Book. 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, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focused computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition. Codice libro della libreria KNV9780387202297

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Peitgen, Heinz-Otto; Jurgens, Hartmut; Saupe, Dietmar; Jnrgens, Hartmut
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Descrizione libro Springer, 2004. Condizione libro: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: The 14 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, cellular automata, L-systems, percolation and strange attractors. This new edition has been updated in many places. The appendices of the original edition were taken out since more recent publications cover this material in more depths. Instead of the focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition. Codice libro della libreria ABE_book_new_0387202293

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Peitgen, Heinz-Otto; Jurgens, Hartmut; Saupe, Dietmar; Jnrgens, Hartmut
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Descrizione libro Springer, 2004. Hardcover. Condizione libro: New. book. Codice libro della libreria 0387202293

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Peitgen, Heinz-Otto; Jurgens, Hartmut; Saupe, Dietmar; Jnrgens, Hartmut
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ISBN 10: 0387202293 ISBN 13: 9780387202297
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Descrizione libro Springer-Verlag New York Inc., United States, 2004. Hardback. Condizione libro: New. 2nd ed. 2004. 234 x 202 mm. Language: English . Brand New Book. 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, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focused computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition. Codice libro della libreria KNV9780387202297

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Peitgen, Heinz-Otto; Jurgens, Hartmut; Saupe, Dietmar; Jnrgens, Hartmut
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Descrizione libro Springer, 2004. Hardcover. Condizione libro: New. 2nd. This item is printed on demand. Codice libro della libreria DADAX0387202293

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Descrizione libro Springer, 2004. Hardback. Condizione libro: NEW. 9780387202297 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0271743

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Descrizione libro Springer Feb 2004, 2004. Buch. Condizione libro: Neu. 235x155x53 mm. Neuware - 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, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focused computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition. 904 pp. Englisch. Codice libro della libreria 9780387202297

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Descrizione libro Springer-Verlag New York Inc., 2004. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780387202297

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Descrizione libro Springer Feb 2004, 2004. Buch. Condizione libro: Neu. 235x155x53 mm. Neuware - 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, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focused computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition. 904 pp. Englisch. Codice libro della libreria 9780387202297

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Descrizione libro Springer Feb 2004, 2004. Buch. Condizione libro: Neu. 235x155x53 mm. Neuware - 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, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focused computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition. 904 pp. Englisch. Codice libro della libreria 9780387202297

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