Title: Randomness and Recurrence in Dynamical Systems : A Real Analysis Approach
Publisher: The Mathematical Association of America
Publication Date: 2010
Language: English
ISBN 10: 0883850435
ISBN 13: 9780883850435
Binding: Hardcover
Condition: New

About this title

Synopsis

Randomness and Recurrence in Dynamical Systems makes accessible, at the undergraduate or beginning graduate level, results and ideas on averaging, randomness and recurrence that traditionally require measure theory. Assuming only a background in elementary calculus and real analysis, new techniques of proof have been developed, and known proofs have been adapted, to make this possible. The book connects the material with recent research, thereby bridging the gap between undergraduate teaching and current mathematical research. The various topics are unified by the concept of an abstract dynamical system, so there are close connections with what may be termed 'Probabilistic Chaos Theory' or 'Randomness'. The work is appropriate for undergraduate courses in real analysis, dynamical systems, random and chaotic phenomena and probability. It will also be suitable for readers who are interested in mathematical ideas of randomness and recurrence, but who have no measure theory background.

About the Author

Rodney Nillsen received his undergraduate education at the University of Tasmania. His post-graduate studies were at the Flinders University of South Australia. His primary research area has been harmonic analysis, but he has also published in functional analysis, differential equations, and measure theory.

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