Randomness and Recurrence in Dynamical Systems: A Real Analysis Approach: 31 (Carus Mathematical Monographs) - Hardcover

Nillsen, Rodney

Hardcover

ISBN 10: 0883850435 ISBN 13: 9780883850435

Publisher: The Mathematical Association of America, 2010

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 this title

Book Description

This work is an accessible introduction to real analysis as it applies to topics in abstract dynamical systems for undergraduates which presupposes little advanced knowledge. It connects its results to recent research and thus aims to bridge the gap between undergraduate teaching and current mathematical ideas and research.

Edition details

• Publisher: The Mathematical Association of America
• Publication date: 2010
• Language: English
• ISBN 10: 0883850435
• ISBN 13: 9780883850435
• Binding: Hardcover
• Number of pages: 374