Chaos: A Mathematical Introduction

Author:   John Banks (La Trobe University, Victoria) ,  Valentina Dragan (La Trobe University, Victoria) ,  Arthur Jones (La Trobe University, Victoria)
Publisher:   Cambridge University Press
Volume:   18
ISBN:  

9781139174565


Publication Date:   05 June 2012
Format:   Undefined
Availability:   Available To Order   Availability explained
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Chaos: A Mathematical Introduction


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Overview

When 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.

Full Product Details

Author:   John Banks (La Trobe University, Victoria) ,  Valentina Dragan (La Trobe University, Victoria) ,  Arthur Jones (La Trobe University, Victoria)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
Volume:   18
ISBN:  

9781139174565


ISBN 10:   1139174568
Publication Date:   05 June 2012
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

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.

Reviews

'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.


'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.


'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.


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