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Invitation to Ergodic Theory

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Silva, C.E. 作者
American Mathematical Society
译者
2008 出版日期
260 页数
393.00元 价格
Student Mathematical Library 丛书系列
9780821844205 图书编码

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发表于2024-12-24


Invitation to Ergodic Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Invitation to Ergodic Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Invitation to Ergodic Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024



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读过一次,还能复习Measure theory. 遍历论本科生入门书, 可以一看, 反正看起来也快.

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读过一次,还能复习Measure theory. 遍历论本科生入门书, 可以一看, 反正看起来也快.

评分

读过一次,还能复习Measure theory. 遍历论本科生入门书, 可以一看, 反正看起来也快.

评分

读过一次,还能复习Measure theory. 遍历论本科生入门书, 可以一看, 反正看起来也快.

评分

读过一次,还能复习Measure theory. 遍历论本科生入门书, 可以一看, 反正看起来也快.

Invitation to Ergodic Theory 在线电子书 著者简介

C. E. Silva: Williams College, Williamstown, MA


Invitation to Ergodic Theory 在线电子书 图书目录


Invitation to Ergodic Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Invitation to Ergodic Theory 在线电子书 图书描述

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 Lp spaces.

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.

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