Invitation to ergodic theory

書誌事項

Invitation to ergodic theory

C.E. Silva

(Student mathematical library, v. 42)

American Mathematical Society, c2008

大学図書館所蔵 件 / 31

この図書・雑誌をさがす

注記

Includes bibliographical references (p. 255-258) and index

内容説明・目次

内容説明

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 Caratheodory extension theorem. It also develops the Lebesgue theory of integration, including the dominated convergence theorem and an introduction to the Lebesgue $Lp$spaces.

目次

Introduction Lebesgue measure Recurrence and ergodicity The Lebesgue integral The ergodic theorem Mixing notions Appendix A. Set notation and the completeness of $\mathbb{R}$ Appendix B. Topology of $\mathbb{R}$ and metric spaces Bibliographical notes Bibliography Index.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BA84479821
  • ISBN
    • 9780821844205
  • LCCN
    2007060840
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Providence, R.I.
  • ページ数/冊数
    ix, 262 p.
  • 大きさ
    22 cm
  • 分類
  • 件名
  • 親書誌ID
ページトップへ