Chaos

A Mathematical Introduction

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Paperback | 24 July 2003

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308 Pages

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22.86 x 15.24 x 1.75

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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.

Industry 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.

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Chaos Theory Medicine Medicine in General

Preface
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
Table of Contents provided by Publisher. All Rights Reserved.

Chaos

A Mathematical Introduction

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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