000			02666nam a2200397 a 4500
001			EBC3330356
003			MiAaPQ
006			m o d |
007			cr cn|||||||||
008			100318s2010 dcua sb 001 0 eng d
010			_z 2010924993
020			_z0883850435
020			_z9780883850435
020			_z9781614440000 (e-book)
035			_a(MiAaPQ)EBC3330356
035			_a(Au-PeEL)EBL3330356
035			_a(CaPaEBR)ebr10722467
035			_a(OCoLC)939263348
040			_aMiAaPQ _cMiAaPQ _dMiAaPQ
050		4	_aQA614.8 _b.N55 2010
100	1		_aNillsen, Rodney Victor, _d1945-
245	1	0	_aRandomness and recurrence in dynamical systems _h[electronic resource] : _ba real analysis approach / _cRodney Nillsen.
260			_aWashington, D.C. : _bMathematical Association of America, _cc2010.
300			_axviii, 357 p. : _bill.
490	1		_aThe Carus mathematical monographs ; _vno. 31
504			_aIncludes bibliographical references and indexes.
505	0		_aBackground ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space.
520			_aRandomness 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-- _cSource other than Library of Congress.
533			_aElectronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
650		0	_aDifferentiable dynamical systems.
650		0	_aMeasure theory.
655		4	_aElectronic books.
710	2		_aProQuest (Firm)
830		0	_aCarus mathematical monographs ; _vno. 31.
856	4	0	_uhttps://ebookcentral.proquest.com/lib/nird-ebooks/detail.action?docID=3330356 _zClick to View
999			_c25057 _d25057