Invitation to ergodic theory (Record no. 1431675)

MARC details
000 -LEADER
fixed length control field 02159cam a22002774a 4500
001 - CONTROL NUMBER
control field 14966565
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250612180617.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 070814s2008 riua b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821887332
040 ## - CATALOGING SOURCE
Original cataloging agency CSL
Transcribing agency CSL
041 ## - LANGUAGE CODE
Source of code eng
Language code of text/sound track or separate title eng
084 ## - COLON CLASSIFICATION NUMBER
Classification number B325 P8 NBHM
Assigning agency CSL
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Silva, C. E.
Relator term author.
9 (RLIN) 812757
245 10 - TITLE STATEMENT
Title Invitation to ergodic theory
Statement of responsibility, etc. / by C.E. Silva.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Providence :
Name of publisher, distributor, etc. American Mathematical Society,
Date of publication, distribution, etc. 2008.
300 ## - PHYSICAL DESCRIPTION
Extent ix, 262 p. :
Other physical details ill. ;
Dimensions 22 cm.
490 0# - SERIES STATEMENT
Series statement Student mathematical library ;
Volume/sequential designation 42
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
Summary, etc. This book is an introduction to basic concepts in ergodic theory such as recurrence, ergodicity, the ergodic theorem, mixing, and weak mixing. It does not assume knowledge of measure theory; all the results needed from measure theory are presented from scratch. In particular, the book includes a detailed construction of the Lebesgue measure on the real line and an introduction to measure spaces up to the Carathéodory extension theorem. It also develops the Lebesgue theory of integration, including the dominated convergence theorem and an introduction to the Lebesgue <br/>spaces.<br/><br/>Several examples of a dynamical system are developed in detail to illustrate various dynamical concepts. These include in particular the baker's transformation, irrational rotations, the dyadic odometer, the Hajian–Kakutani transformation, the Gauss transformation, and the Chacón transformation. There is a detailed discussion of cutting and stacking transformations in ergodic theory. The book includes several exercises and some open questions to give the flavor of current research. The book also introduces some notions from topological dynamics, such as minimality, transitivity and symbolic spaces; and develops some metric topology, including the Baire category theorem.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Ergodic theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Lebesgue measure.
9 (RLIN) 812758
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Recurrence and ergodicity.
9 (RLIN) 812759
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Ergodic theorem
9 (RLIN) 812760
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mixing notions
9 (RLIN) 812761
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Colon Classification (CC)
Suppress in OPAC No
Koha item type Textual
Classification part B325 P8 NBHM
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Colon Classification (CC)     Central Science Library Faculty of Mathematical Sciences Library 2025-01-09 Indica Publishers   B325 P8 NBHM SL1656204 2025-06-12 2025-06-12 Textual