東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Foundations of ergodic theory

Viana, Marcelo.

Linked to FindBook

Google Book

Amazon

博客來

Foundations of ergodic theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Foundations of ergodic theory/ Marcelo Viana, IMPA, Rio de Janeiro, Krerley Oliveira, Universidade Federal de Alagoas, Brazil.
Author:	Viana, Marcelo.
other author:	Oliveira, Krerley.
Published:	Cambridge :Cambridge University Press, : 2016.,
Description:	xvi, 530 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Feb 2016).
Subject:	Ergodic theory - Textbooks. -
Online resource:	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
LDR:01939nmm a2200265 a 4500 001 2227132
003 UkCbUP
005 20160216092645.0
006 m d
007 cr nn 008maaau
008 210414s2016 enk o 1 0 eng d
020 $a 9781316422601 $q (electronic bk.)
020 $a 9781107126961 $q (hardback)
035 $a CR9781316422601
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA611.5 $b .V53 2016
082 0 4 $a 515.48 $2 23
090 $a QA611.5 $b .V614 2016
100 1 $a Viana, Marcelo. $3 897483
245 1 0 $a Foundations of ergodic theory $h [electronic resource] / $c Marcelo Viana, IMPA, Rio de Janeiro, Krerley Oliveira, Universidade Federal de Alagoas, Brazil.
260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a xvi, 530 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 151
500 $a Title from publisher's bibliographic system (viewed on 05 Feb 2016).
520 $a 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.
650 0 $a Ergodic theory $v Textbooks. $3 3470390
650 0 $a Topology $v Textbooks. $3 631716
700 1 $a Oliveira, Krerley. $3 2170810
830 0 $a Cambridge studies in advanced mathematics ; $v 151. $3 3470389
856 4 0 $u https://doi.org/10.1017/CBO9781316422601