Chaos: A Mathematical Introduction
Chaos: A Mathematical Introduction
Valentina Dragan, La Trobe University, Victoria
Arthur Jones, La Trobe University, Victoria
£57.99
GBPWhen new ideas like chaos first move into the mathematical limelight, the early textbooks tend to be very difficult. The concepts are new and it takes time to find ways to present them in a form digestible to the average student. This process may take a generation, but eventually, what originally seemed far too advanced for all but the most mathematically sophisticated becomes accessible to a much wider readership. This book takes some major steps along that path of generational change. It presents ideas about chaos in discrete time dynamics in a form where they should be accessible to anyone who has taken a first course in undergraduate calculus. More remarkably, it manages to do so without discarding a commitment to mathematical substance and rigour. The book evolved from a very popular one-semester middle level undergraduate course over a period of several years and has therefore been well class-tested.
- The first presentation of the subject at such an accessible level
- An easy pace of development, with graded exercises in each section, and a wealth of explanatory graphs and diagrams
- Thoroughly class-tested
Reviews & endorsements
'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 taught courses make the book ideal for self-study, and as a prelude to reading extensive treatments of chaos theory.' The Mathematical Gazette
'… presented in such a form that it is accessible to anyone who has taken an undergraduate calculus course … This textbook is highly recommended for a one semester undergraduate introduction to chaos theory.' Acta Sci. Math.
Product details
May 2003Paperback
9780521531047
306 pages
228 × 152 × 18 mm
0.453kg
154 b/w illus. 303 exercises
Available
Table of Contents
- Preface
- 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 zeros
- 8. Sensitive dependence
- 9. Ingredients of chaos
- 10. Schwarzian derivatives and 'woggles'
- 11. Changing coordinates
- 12. Conjugacy
- 13. Wiggly iterates, Cantor sets and chaos
- Index.
