a real analysis approach Nillsen, Rodney Victor 1945- creator ebrary, Inc text bibliography Electronic books. dcu Washington, D.C Mathematical Association of America c2010 2010 monographic eng

electronic

electronic resource

xviii, 357 p. : ill. 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-- Background ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space. Rodney Nillsen. Includes bibliographical references and indexes. Electronic reproduction. Palo Alto, Calif. : ebrary, 2013. Available via World Wide Web. Access may be limited to ebrary affiliated libraries. Differentiable dynamical systems Measure theory QA614.8 .N55 2010eb http://site.ebrary.com/lib/rucke/Doc?id=10722467 http://site.ebrary.com/lib/rucke/Doc?id=10722467 CaPaEBR 100318 ebr10722467