Journal cover: Notices of the American Mathematical Society

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.

Table of Contents

Featured Articles and Invitations from the AMS

PRIMES Is in P: Breakthrough for "Everyman"

Folkmar Bornemann

Last year saw the discovery of a deterministic algorithm for deciding the primality of integers in polynomial running time. This article tells the story of the new algorithm from the point of view of a nonspecialist.

The Mathematics of Learning: Dealing with Data

Tomaso Poggio and Steve Smale

A key to extracting useful information from large quantities of data is to program machines to learn from examples. The authors outline the mathematical foundations of learning theory and describe one important algorithm.