TY  - BOOK
AU  - Viana,Marcelo
AU  - Oliveira,Krerley
TI  - Foundations of ergodic theory
T2  - Cambridge studies in advanced mathematics
SN  - 9781316422601 (ebook)
AV  - QA611.5 .V53 2016
U1  - 515/.48 23
PY  - 2016///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Ergodic theory
KW  - Textbooks
KW  - Topology
N1  - Title from publisher's bibliographic system (viewed on 05 Feb 2016)
N2  - Rich 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
UR  - https://doi.org/10.1017/CBO9781316422601
ER  -