000			01970cam a2200277 i 4500
001			18649246
005			20250610104720.0
008			150608s2016 enka b 001 0 eng
020			_a9781107126961
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB325 Q6 NBHM _qCSL
100	1		_aViana, Marcelo. _eauthor. _9812332
245	1	0	_aFoundations of ergodic theory
264		1	_aCambridge : _bCambridge University Press, _c2016.
300			_axvi, 530 p. : _bill. ; _c24 cm.
490	0		_aCambridge studies in advanced mathematics ; _v151
504			_aIncludes bibliographical references (pages 504-510) and indexes.
520			_aRich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective. The book requires few prerequisites, with background material supplied in the appendix. The first four chapters cover elementary material suitable for undergraduate students – invariance, recurrence and ergodicity – as well as some of the main examples. The authors then gradually build up to more sophisticated topics, including correlations, equivalent systems, entropy, the variational principle and thermodynamical formalism. The 400 exercises increase in difficulty through the text and test the reader's understanding of the whole theory. Hints and solutions are provided at the end of the book.
650		0	_aErgodic theory _9811393
650		0	_aTopology _9447898
650		0	_aDynamical Systems and Control Theory _9812271
650		0	_aAbstract Analysis _9812333
700	1		_aOliveira, Krerley. _eco- author. _9812334
942			_2CC _n0 _cTEXL _hB325 Q6 NBHM
999			_c1431542 _d1431542