Notices of the American Mathematical Society

For issues spanning 1954 to 2015, the complete Tables of Contents (TOCs) are fully accessible only by downloading the entire issue in PDF format. From 2016 onwards, the availability and detail of TOCs have significantly improved.

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Discrete Painlevé Equations

Nalini Joshi

This article is about a class of special functions that cannot be expressed in terms of classical elementary functions. Nevertheless, they arise in a wide range of applications and have surprisingly rich mathematical properties. In this article, we describe some of these properties.

Mathematics for the Modeling of Defects in Materials

Claude Le Bris

The purpose of this mathematically oriented presentation is to show a specific series of settings in materials science, and more precisely multi-scale materials science, where mathematics plays a role in the modeling and thus in the understanding and numerical approximation of defects.

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