Andy R. Magid

This advanced introduction to theory, techniques, applications and computer implementation of linear algebra is designed for those with only minimal prior background in linear algebra and computing. The book shows how to set up and solve systems of linear equations and matrices for eigenvalues and eigenvectors and features several applied examples of packaged library routines plus ready-to-use FORTRAN program listings.

A Second Course in Linear Algebra with Computer Applications

Applied Matrix Models

William Mark Goldman

The representations of a finitely generated group in a topological group $G$ form a topological space which is an analytic variety if $G$ is a Lie group, or an algebraic variety if $G$ is an algebraic group. The study of this area draws from and contributes to a wide range of mathematical subjects: algebra, analysis, topology, differential geometry, representation theory, and even mathematical physics. In some cases, the space of representations is the object of the study, in others it is a tool in a program of investigation, and, in many cases, it is both. Most of the papers in this volume are based on talks delivered at the AMS-IMS-SIAM Summer Research Conference on the Geometry of Group Representations, held at the University of Colorado in Boulder in July 1987.The conference was designed to bring together researchers from the diverse areas of mathematics involving spaces of group representations. In keeping with the spirit of the conference, the papers are directed at nonspecialists, but contain technical developments to bring the subject to the current research frontier. Some of the papers include entirely new results. Readers will gain an understanding of the present state of research in the geometry of group representations and their applications.

Andy R. Magid

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