2011, ISBN: 9781461287582
Kartoniert, 524 Seiten, 254mm x 178mm x 29mm, Sprache(n): eng Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a… Mehr…
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ISBN: 9781461287582
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2011, ISBN: 9781461287582
Mitwirkende: Jürgens, Hartmut, Mitwirkende: Saupe, Dietmar, Springer, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 1992, 524 Seiten, Publiziert: 2011-09-26T00:00:01Z, P… Mehr…
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2011, ISBN: 9781461287582
Mitwirkende: Jürgens, Hartmut, Mitwirkende: Saupe, Dietmar, Springer, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 1992, 524 Seiten, Publiziert: 2011-09-26T00:00:01Z, P… Mehr…
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2011, ISBN: 9781461287582
Springer, Paperback, Auflage: Softcover reprint of the original 1st ed. 1992, 512 Seiten, Publiziert: 2011-09-26T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: biography, 0.9 kg, Books G… Mehr…
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2011, ISBN: 9781461287582
Kartoniert, 524 Seiten, 254mm x 178mm x 29mm, Sprache(n): eng Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a… Mehr…
ISBN: 9781461287582
Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts rela… Mehr…
2011
ISBN: 9781461287582
Mitwirkende: Jürgens, Hartmut, Mitwirkende: Saupe, Dietmar, Springer, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 1992, 524 Seiten, Publiziert: 2011-09-26T00:00:01Z, P… Mehr…
2011, ISBN: 9781461287582
Mitwirkende: Jürgens, Hartmut, Mitwirkende: Saupe, Dietmar, Springer, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 1992, 524 Seiten, Publiziert: 2011-09-26T00:00:01Z, P… Mehr…
2011, ISBN: 9781461287582
Springer, Paperback, Auflage: Softcover reprint of the original 1st ed. 1992, 512 Seiten, Publiziert: 2011-09-26T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: biography, 0.9 kg, Books G… Mehr…
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Detailangaben zum Buch - Fractals for the Classroom: Part Two: Complex Systems and Mandelbrot Set Heinz-Otto Peitgen Author
EAN (ISBN-13): 9781461287582
ISBN (ISBN-10): 1461287588
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2011
Herausgeber: Springer New York Core >1
Buch in der Datenbank seit 2014-01-05T18:27:22+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-02-27T01:10:41+01:00 (Berlin)
ISBN/EAN: 1461287588
ISBN - alternative Schreibweisen:
1-4612-8758-8, 978-1-4612-8758-2
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: heinz otto peitgen, saupe, peitgen jürgens, hein jürgen, jürgen hart, hartmut hein, mandelbrot
Titel des Buches: fractals everywhere, fractals for the classroom, mandelbrot, complex systems
Daten vom Verlag:
Autor/in: Heinz-Otto Peitgen; Hartmut Jürgens; Dietmar Saupe
Titel: Fractals for the Classroom - Part Two: Complex Systems and Mandelbrot Set
Verlag: Springer; Springer US
500 Seiten
Erscheinungsjahr: 2011-09-26
New York; NY; US
Gedruckt / Hergestellt in Niederlande.
Gewicht: 0,986 kg
Sprache: Englisch
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
XII, 500 p.
BC; Geometry; Hardcover, Softcover / Mathematik/Geometrie; Geometrie; Verstehen; Cantor; Dynamical system; Mandelbrot; average; calculus; causality; deterministic chaos; equation; function; geometry; mathematics; Geometry; BB
Introduction: Causality Principle, Deterministic Laws and Chaos.- 8 Recursive Structures: Growing of Fractals and Plants.- 8.1 L-Systems: A Language For Modeling Growth.- 8.2 Growing Classical Fractals with MRCMs.- 8.3 Turtle Graphics: Graphical Interpretation of L-Systems.- 8.4 Growing Classical Fractals with L-Systems.- 8.5 Growing Fractals with Networked MRCMs.- 8.6 L-System Trees and Bushes.- 8.7 Program of the Chapter: L-systems.- 9 Pascal’s Triangle: Cellular Automata and Attractors.- 9.1 Cellular Automata.- 9.2 Binomial Coefficients and Divisibility.- 9.3 IFS: From Local Divisibility to Global Geometry.- 9.4 Catalytic Converters or how many Cells are Black?.- 9.5 Program of the Chapter: Cellular Automata.- 10 Deterministic Chaos: Sensitivity, Mixing, and Periodic Points.- 10.1 The Signs of Chaos: Sensitivity.- 10.2 The Signs of Chaos: Mixing and Periodic Points.- 10.3 Ergodic Orbits and Histograms.- 10.4 Paradigm of Chaos: The Kneading of Dough.- 10.5 Analysis of Chaos: Sensitivity, Mixing, and Periodic Points.- 10.6 Chaos for the Quadratic Iterator.- 10.7 Numerics of Chaos: Worth the Trouble or Not?.- 10.8 Program of the Chapter: Time Series and Error Development.- 11 Order and Chaos: Period-Doubling and its Chaotic Mirror.- 11.1 The First Step From Order to Chaos: Stable Fixed Points.- 11.2 The Next Step From Order to Chaos: The Period Doubling Scenario.- 11.3 The Feigenbaum Point: Entrance to Chaos.- 11.4 From Chaos to Order: a Mirror Image.- 11.5 Intermittency and Crises: The Backdoors to Chaos.- 11.6 Program of the Chapter: Final State Diagram.- 12 Strange Attractors: The Locus of Chaos.- 12.1 A Discrete Dynamical System in Two Dimensions: Hénon’s Attractor.- 12.2 Continuous Dynamical Systems: Differential Equations.- 12.3 The Rössler Attractor.- 12.4 The Lorenz Attractor.- 12.5 The Reconstruction of Strange Attractors.- 12.6 Fractal Basin Boundaries.- 12.7 Program of the Chapter: Rössler Attractor.- 13 Julia Sets: Fractal Basin Boundaries.- 13.1 Julia Sets as Basin Boundaries.- 13.2 Complex Numbers — A Short Introduction.- 13.3 Complex Square Roots and Quadratic Equations.- 13.4 Prisoners versus Escapees.- 13.5 Equipotentials and Field Lines for Julia Sets.- 13.6 Chaos Game and Self-Similarity for Julia Sets.- 13.7 The Critical Point and Julia Sets as Cantor Sets.- 13.8 Quaternion Julia Sets.- 13.9 Program of the Chapter: Julia Sets.- 14 The Mandelbrot Set: Ordering the Julia Sets.- 14.1 From the Structural Dichotomy to the Potential Function.- 14.2 The Mandelbrot Set — A Road Map for Julia Sets.- 14.3 The Mandelbrot Set as a Table of Content.- 14.4 Program of the Chapter: The Mandelbrot Set.Published in cooperation with the National Council of Teachers of Mathematics
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