000 02330nam a22003618i 4500
001 CR9781316422601
003 UkCbUP
005 20200124160215.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 150414s2016||||enk o ||1 0|eng|d
020 _a9781316422601 (ebook)
020 _z9781107126961 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA611.5
_b.V53 2016
082 0 0 _a515/.48
_223
100 1 _aViana, Marcelo,
_eauthor.
245 1 0 _aFoundations of ergodic theory /
_cMarcelo Viana, IMPA, Rio de Janeiro, Krerley Oliveira, Universidade Federal de Alagoas, Brazil.
264 1 _aCambridge :
_bCambridge University Press,
_c2016.
300 _a1 online resource (xvi, 530 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v151
500 _aTitle from publisher's bibliographic system (viewed on 05 Feb 2016).
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
_vTextbooks.
650 0 _aTopology
_vTextbooks.
700 1 _aOliveira, Krerley,
_eauthor.
776 0 8 _iPrint version:
_z9781107126961
830 0 _aCambridge studies in advanced mathematics ;
_v151.
856 4 0 _uhttps://doi.org/10.1017/CBO9781316422601
999 _c516234
_d516232