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  3. Chaos: A Mathematical Introduction
  • Cited by 14
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2003
Online ISBN:
9781139174565
DOI:
https://doi.org/10.1017/CBO9781139174565
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Physics
Series:
Australian Mathematical Society Lecture Series (18)
Information

Book description

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.

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.'

Source: 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.’

Source: Acta Sci. Math.

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