Chaos and Fractals: New Frontiers of Science - Rilegato

Peitgen, Heinz-Otto; Jurgens, Hartmut; Saupe, Dietmar; Jnrgens, Hartmut

Rilegato

ISBN 10: 0387202293 ISBN 13: 9780387202297

Casa editrice: Springer Nature, 2004

Riassunto

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 focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.

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Recensione:

"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

"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

"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

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.

Su questa edizione

• Editore: Springer Nature
• Data di pubblicazione: 2004
• ISBN 10: 0387202293
• ISBN 13: 9780387202297
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 864