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Discrete dynamical systems are essentially iterated functions. Given the ease with which computers can do iteration, it is now possible for anyone with access to a personal computer to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets abound in publications both mathematical and not. The mathematics behind the pictures are beautiful in their own right and are the subject of this text.
The level of the presentation is suitable for advanced undergraduates with a year of calculus behind them. Students in the author's courses using this material have come from numerous disciplines; many have been majors in other disciplines who are taking mathematics courses out of general interest. Concepts from calculus are reviewed as necessary. Mathematica programs that illustrate the dynamics and that will aid the student in doing the exercises are included in an appendix.
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Differentiable dynamical systemsShowing 6 featured editions. View all 6 editions?
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First Course in Discrete Dynamical Systems
2012, Springer London, Limited
in English
1441987320 9781441987327
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A First Course in Discrete Dynamical Systems
Sep 08, 2011, Springer
paperback
1441987339 9781441987334
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A first course in discrete dynamical systems
1996, Springer
in English
- 2nd ed.
0387947809 9780387947808
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A first course in discrete dynamical systems
1994, Springer-Verlag
in English
0387942084 9780387942087
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Includes bibliographical references (p. [203]-207) and index.
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