Lectures on Ergodic Theory (Dover Books on Mathematics) by Paul R. Halmos (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Ergodic theory, ironically, is best understood with a light touch. I believe some 21st century data analyst will finally harness it to its full potential.

⭐This book is a classic, and I bought this copy to replace a very old copy that was no longer in good shape. Besides the famous limit theorems, it contains more fundamentals of ergodic theory than its size suggests. The author played an important role in the development of a significant part of the mathematical side of ergodic theory, making it an excellent starting point for anyone wanting to learn the subject.

⭐I am a retired mathematician and was curious as to what ergodic theory was about. I bought several books on the subject and found Halmos’ book by far the the most helpful. He leads one into the subject in a straightforward manner avoiding the use of a tiresome complicated system of terminology and symbols. He only assumes a knowledge of analysis in the reader and in other parts of mathematics either enunciates the result to be used or gives a sufficient reference to it. His exposition is succinct and well phrased, and he gives many examples to illustrate the conceptions he introduces.

⭐A classic text in ergodic theory, written by a well known mathematician who always put care in writing clearly and succinctly. Need not say more.

⭐The presentation is not for me.

⭐Great Book!

⭐This is a concise and clearly explained introduction to a fascinating and not very well known area of mathematics, which can be applied to the motions of gas molecules trapped in a box, or the mixing of two liquids, eg, orange juice mixing with water. It is based on a series of lectures that Paul Halmos gave in the 1950s. Highly recommended.

⭐Très satisfaisant

⭐

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