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Cover: 9781468493962 | Chaos and Fractals | New Frontiers of Science | Peitgen (u. a.) | Buch
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Chaos and Fractals
New Frontiers of Science
Taschenbuch von Heinz-Otto Peitgen (u. a.)
Sprache: Englisch

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Beschreibung
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 thetwo 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.
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 thetwo 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.
Zusammenfassung
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 depths. Instead of the focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2012
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiii
864 S.
ISBN-13: 9781468493962
ISBN-10: 1468493965
Sprache: Englisch
Herstellernummer: 86101675
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Peitgen, Heinz-Otto
Saupe, Dietmar
Jürgens, Hartmut
Auflage: 2nd ed. 2004. Softcover reprint of the original 2nd ed. 2004
Hersteller: Springer New York
Springer US, New York, N.Y.
Maße: 235 x 191 x 49 mm
Von/Mit: Heinz-Otto Peitgen (u. a.)
Erscheinungsdatum: 27.05.2012
Gewicht: 1,651 kg
Artikel-ID: 105253685
Zusammenfassung
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 depths. Instead of the focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2012
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiii
864 S.
ISBN-13: 9781468493962
ISBN-10: 1468493965
Sprache: Englisch
Herstellernummer: 86101675
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Peitgen, Heinz-Otto
Saupe, Dietmar
Jürgens, Hartmut
Auflage: 2nd ed. 2004. Softcover reprint of the original 2nd ed. 2004
Hersteller: Springer New York
Springer US, New York, N.Y.
Maße: 235 x 191 x 49 mm
Von/Mit: Heinz-Otto Peitgen (u. a.)
Erscheinungsdatum: 27.05.2012
Gewicht: 1,651 kg
Artikel-ID: 105253685
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