Randomness and Recurrence in Dynamical Systems: A Real Analysis Approach (BOK)

Rodney Nillsen

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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.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2010 Forfatter Rodney Nillsen
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9780883850435
Antall sider 374 Dimensjoner 14,8cm x 20,8cm x 2,5cm
Vekt 540 gram Leverandør Bertram Trading Ltd
Emner og form Nonlinear science