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Foundations of ergodic theory

Viana, Marcelo.

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Foundations of ergodic theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Foundations of ergodic theory/ Marcelo Viana, IMPA, Rio de Janeiro, Krerley Oliveira, Universidade Federal de Alagoas, Brazil.
作者:	Viana, Marcelo.
其他作者:	Oliveira, Krerley.
出版者:	Cambridge :Cambridge University Press, : 2016.,
面頁冊數:	xvi, 530 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Feb 2016).
標題:	Ergodic theory - Textbooks. -
電子資源:	https://doi.org/10.1017/CBO9781316422601
ISBN:	9781316422601

Foundations of ergodic theory
Viana, Marcelo.

Foundations of ergodic theory[electronic resource] /Marcelo Viana, IMPA, Rio de Janeiro, Krerley Oliveira, Universidade Federal de Alagoas, Brazil. - Cambridge :Cambridge University Press,2016. - xvi, 530 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;151. - Cambridge studies in advanced mathematics ;151..

Title from publisher's bibliographic system (viewed on 05 Feb 2016).

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.

ISBN: 9781316422601Subjects--Topical Terms:

3470390
Ergodic theory
--Textbooks.

LC Class. No.: QA611.5 / .V53 2016

Dewey Class. No.: 515.48

Foundations of ergodic theory
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