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EB

ONLINE

Washington, D.C. : Mathematical Association of America, c2010

1 online resource (xviii, 357 p.) : ill

ISBN 9781614440000 (electronic bk.)

ISBN 0883850435

ISBN 9780883850435

The Carus mathematical monographs ; no. 31

Includes bibliographical references and indexes

Background ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space.

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-- Source other than Library of Congress..

Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries

001819502

full

(Au-PeEL)EBL3330356

(CaPaEBR)ebr10722467

(MiAaPQ)EBC3330356

(OCoLC)939263348