
- 112 pages
- English
- ePUB (mobile friendly)
- 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.
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
- Cover
- Title Page
- Copyright page
- Apology
- Contents
- Introduction
- Examples
- Recurrence
- Mean convergence
- Pointwise convergence
- Comments on the ergodic theorem
- Ergodicity
- Consequences of ergodicity
- Mixing
- Measure algebras
- Discrete spectrum
- Automorphisms of compact groups
- Generalized proper values
- Weak topology
- Weak approximation
- Uniform topology
- Uniform approximation
- Category
- Invariant measures
- Invariant measures: the solution
- Invariant measures: the problem
- Generalized ergodic theorems
- Unsolved problems
- References