Chaos and Fractals New Frontiers of Science /

• Κύριοι συγγραφείς: Peitgen, Heinz-Otto (Συγγραφέας), Jürgens, Hartmut (Συγγραφέας), Saupe, Dietmar (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2004.
• Έκδοση: Second Edition.
• Θέματα: Mathematics.; Computer science > Mathematics.; Computer graphics.; Dynamics.; Ergodic theory.; Physics.; Dynamical Systems and Ergodic Theory.; Mathematics of Computing.; Computer Graphics.; Mathematics, general.; Theoretical, Mathematical and Computational Physics.

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....

Πίνακας περιεχομένων:

• 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.