Notices of the American Mathematical Society
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- Volume 42 | Number 2 | February 1995
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Table of Contents
Featured Articles and Invitations from the AMS
Mathematical Complexity of Simple Economics
Donald G. Saari
The "invisible hand" of Adam Smith guides economies to stable equilibria. Or does it? Such equilibria exist for a simple model of exchange of n >= 2 goods among n agents, but it is shown, even under the most natural of assumptions, that there always are initial endowments which lead to chaotic dynamics.
On Finite Simple Groups and Their Classification
Ron Solomon
This article traces the development of the classification theorem for finite simple groups and brings us to contemporary research into new techniques for the proof and detailed study of the more exotic simple groups.
Symmetric Chaos: How and Why
Mike Field and Martin Golubitsky
Suppose that f is a mapping of the plane to itself which is invariant under a group G of planar motions. Then the orbits of points under iteration of the mapping exhibit symmetries related to G in complex ways. The cover image is that of such orbits.