Books in the Pure and Applied Mathematics series

Serves as an introduction to the subject of Differentiable Manifolds and Riemannian Geometry for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. This book also reviews certain areas of advanced calculus that are necessary to understand the subject.

Gives a description of analytical methods devised to study random matrices. This work reflects the developments in the field. It includes a coverage of skew-orthogonal and bi-orthogonal polynomials and their use in the evaluation of some multiple integrals. It also presents Fredholm determinants and Painleve equations.

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowle