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Chaos : a mathematical introduction

Author: John Banks; Arthur Jones; Valentina Dragan
Publisher: New York : Cambridge University Press, 2003.
Series: Australian Mathematical Society lecture series, 18.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This text presents concepts on chaos in discrete time dynamics that are accessible to anyone who has taken a first course in undergraduate calculus. Retaining its commitment to mathematical integrity, the book, originating in a popular one-semester middle level undergraduate course, constitutes the first elementary presentation of a traditionally advanced subject.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: John Banks; Arthur Jones; Valentina Dragan
ISBN: 0521531047 9780521531047
OCLC Number: 223438048
Description: xi, 294 pages ; 23 cm.
Contents: 1. Making predictions --
2. Mappings and orbits --
3. Periodic orbits --
4. Asymptotic orbits I: linear and affine mappings --
5. Asymptotic orbits II: differentiable mappings --
6. Families of mappings and bifurcations --
7. Graphical composition, wiggly iterates and zeroes --
8. Sensitive dependence --
9. Ingredients of chaos --
10. Schwarzian derivatives and 'woggles' --
11. Changing coordinates --
12. Conjugacy --
13. Wiggly iterates, Cantor sets and chaos.
Series Title: Australian Mathematical Society lecture series, 18.
Responsibility: John Banks, Valentina Dragan, Arthur Jones.
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Abstract:

Textbook on chaos; class-tested, elementary but rigorous, with applications and lots of pictures and exercises.  Read more...

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'The tone, pace and level of the book are nicely judged for middle level undergraduates studying mathematics. The authors' friendly style, and the fact that the material has been developed from Read more...

 
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