Ergodic theory grew out of an important problem of statistical mechanics which was resolved by Birkhoff and von Neumann in the 1930s. Since that time the subject has made its way to the centre of pure mathematics, drawing on the techniques of many other areas and, in turn, influencing those areas. The author has provided in this slim volume a speedy introduction to a considerable number of topics and examples. He includes sections on the classical ergodic theorems, topological dynamics, uniform distribution, Martingales, information theory and entropy. There is a chapter on mixing and one on special examples. The book concludes with an appendix on the spectral multiplicity theory of unitary operators.
FREE Two-Day Shipping for Students. Learn more |
| ||||||||||||||||||||
Book Description
Editorial Reviews
Book Description
Since the 1930s ergodic theory has been central to pure mathematics. This introduction provides sections on the classical ergodic theorems, topological dynamics, uniform distribution, Martingales, information theory and entropy. There is a chapter on mixing and one on special examples.
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
Browse and search another edition of this book.
Browse and search another edition of this book.
First Sentence:
Statistical mechanics as developed by Gibbs [1], grew out of an attempt to apply systematically probability theory (not yet itself systematised) to conservative mechanical systems with many degrees of freedom. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Increasing Martingale, Proof Suppose New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Statistical mechanics as developed by Gibbs [1], grew out of an attempt to apply systematically probability theory (not yet itself systematised) to conservative mechanical systems with many degrees of freedom. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Increasing Martingale, Proof Suppose New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 1
book:
13
books
cite this book:
See all 13 books citing this book
- Linear Operators, Part 1: General Theory (Pure and Applied Mathematics, Vol. 7) by Nelson Dunford in Back Matter
- Dynamical Systems and Ergodic Theory (London Mathematical Society Student Texts) by Mark Pollicott on 4 pages
- Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds (London Mathematical Society Lecture Note Series) by Mark Pollicott in Front Matter, and Back Matter
- Ergodic Theory (Cambridge Studies in Advanced Mathematics) by Karl E. Petersen in Back Matter
- Differential Equations: Theory and Applications With Maple (With Cd-ROM) by David Betounes in Back Matter
- Dynamics of Evolutionary Equations by George R. Sell in Back Matter
See all 13 books citing this book
Books on Related Topics
(learn more)
|
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organize and find favorite items. |
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
