Chaos - A mathematical introduction

John Banks, Valentina Dragan, Arthur Jones

306 pages, parution le 31/07/2003

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Résumé

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.

Making predictions
Mappings and orbits
Periodic orbits
Asymptotic orbits I: linear and affine mappings
Asymptotic orbits II: differentiable mappings
Families of mappings and bifurcations
Graphical composition, wiggly iterates and zeros
Sensitive dependence
Ingredients of chaos
Schwarzian derivatives and 'woggles'
Changing coordinates
Conjugacy
Wiggly iterates, Cantor sets and chaos
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	John Banks, Valentina Dragan, Arthur Jones
Parution	31/07/2003
Nb. de pages	306
Format	15 x 22,7
Couverture	Broché
Poids	405g
Intérieur	Noir et Blanc
EAN13	9780521531047
ISBN13	978-0-521-53104-7