1999;

MSC: Primary 52; 60;

**Print ISBN: 978-0-8218-1351-5
Product Code: VIDEO/102**

List Price: $54.95

AMS Member Price: $43.96

# Introduction to Geometric Probability

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*Gian-Carlo Rota*

This lecture examines the notion of invariant measure from a
fresh viewpoint. The most familiar examples of invariant measures are
area and volume, which are invariant under the group of rigid
motions.

Master expositor Gian-Carlo Rota shows how, starting with a few
simple axioms, one can concoct new invariant measures and explore
their properties. One set of such measures, known as the intrinsic
volumes, are quite new and still somewhat mysterious. However, they
have intriguing probabilistic interpretations and in fact can be shown
to form a basis for the space of all continuous invariant measures.
Rota also discusses the remarkable connection between the intrinsic
volumes and the Euler characteristic.

Exploring deep ideas while remaining at an elementary level, this
lecture would be accessible to undergraduate mathematics
majors.

#### Reviews & Endorsements

Since this remarkable member of the mathematical community died on April 19, 1999, we are fortunate to have a visual record of his lecture. Arthur Jaffe's introductory remarks, not found in the printed article, give a summary of Rota's many accomplishments.

-- Mathematical Reviews