Lectures on Ergodic Theory
eBook - ePub

Lectures on Ergodic Theory

  1. 112 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Lectures on Ergodic Theory

About this book

This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. "The book is written in the pleasant, relaxed, and clear style usually associated with the author," noted the Bulletin of the American Mathematical Society, adding, "The material is organized very well and painlessly presented."
Suitable for advanced undergraduates and graduate students in mathematics, the treatment covers recurrence, mean and pointwise convergence, ergodic theorem, measure algebras, and automorphisms of compact groups. Additional topics include weak topology and approximation, uniform topology and approximation, invariant measures, unsolved problems, and other subjects.

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Yes, you can access Lectures on Ergodic Theory by Paul R. Halmos in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Copyright page
  4. Apology
  5. Contents
  6. Introduction
  7. Examples
  8. Recurrence
  9. Mean convergence
  10. Pointwise convergence
  11. Comments on the ergodic theorem
  12. Ergodicity
  13. Consequences of ergodicity
  14. Mixing
  15. Measure algebras
  16. Discrete spectrum
  17. Automorphisms of compact groups
  18. Generalized proper values
  19. Weak topology
  20. Weak approximation
  21. Uniform topology
  22. Uniform approximation
  23. Category
  24. Invariant measures
  25. Invariant measures: the solution
  26. Invariant measures: the problem
  27. Generalized ergodic theorems
  28. Unsolved problems
  29. References