Description |
xi, 294 pages ; 23 cm |
Series |
Australian Mathematical Society lecture series ; 18 |
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Australian Mathematical Society lecture series ; 18
|
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 |
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 |
Notes |
Bibliographic Level Mode of Issuance: Monograph |
Bibliography |
Includes bibliographical references and index |
Notes |
English |
Subject |
Differentiable dynamical systems -- Mathematics.
|
|
Chaotic behavior in systems.
|
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Differentiable dynamical systems.
|
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Chaotic behavior in systems -- Mathematics.
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Author |
Jones, Arthur, 1934-
|
|
Dragan, Valentina, 1966-
|
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Australian Mathematical Society.
|
LC no. |
2003041210 |
ISBN |
0521531047 |
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