An error was encountered while trying to add the item to the cart. Please try again.
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Invariant Measures

Available Formats:
Softcover ISBN: 978-0-8218-0912-9
Product Code: INMEAS
134 pp
List Price: $51.00 MAA Member Price:$45.90
AMS Member Price: $40.80 Click above image for expanded view Invariant Measures Available Formats:  Softcover ISBN: 978-0-8218-0912-9 Product Code: INMEAS 134 pp  List Price:$51.00 MAA Member Price: $45.90 AMS Member Price:$40.80
• Book Details

1999
MSC: Primary 28; 22;

In 1940–1941 von Neumann lectured on invariant measures at the Institute for Advanced Study at Princeton. This book is essentially a written version of those lectures.

The lectures began with general measure theory and went on to Haar measure and some of its generalizations. Shizuo Kakutani was at the Institute that year, and he and von Neumann had many conversations on the subject. The conversations revealed facts and produced proofs. Quite a bit of the content of the course, especially toward the end, was discovered a few weeks before it appeared on the blackboard. The original version of these notes was prepared by Paul Halmos, von Neumann's assistant that year. Von Neumann read the handwritten version before it went to the typist and sometimes scribbled comments on the margins; he rewrote most of Chapter 6. This book is the first published version of the original notes.

Graduate students and research mathematicians working in classical measure theory and analysis on general topological groups.

• Reviews

• The present American Mathematical Society publication essentially represents a collection of lectures given by von Neumann at the Institute for Advanced Study during 1940–41. Although the material is foundational, important, and is the basis for various graduate texts, it serves the purpose of both history and usefulness to have it available under one cover.

Zentralblatt MATH
• Request Review Copy
• Get Permissions
1999
MSC: Primary 28; 22;

In 1940–1941 von Neumann lectured on invariant measures at the Institute for Advanced Study at Princeton. This book is essentially a written version of those lectures.

The lectures began with general measure theory and went on to Haar measure and some of its generalizations. Shizuo Kakutani was at the Institute that year, and he and von Neumann had many conversations on the subject. The conversations revealed facts and produced proofs. Quite a bit of the content of the course, especially toward the end, was discovered a few weeks before it appeared on the blackboard. The original version of these notes was prepared by Paul Halmos, von Neumann's assistant that year. Von Neumann read the handwritten version before it went to the typist and sometimes scribbled comments on the margins; he rewrote most of Chapter 6. This book is the first published version of the original notes.