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Outstanding Academic Title

The Joy of Factoring, by Samuel Wagstaff Jr,  was selected as a 2014 CHOICE Outstanding Academic Title. 


Featured Publication

Number Systems: An Introduction to Algebra and Analysis
Sergei Ovchinnikov

This book offers an introduction to the five basic number systems of mathematics, namely natural numbers, integers, rational numbers, real numbers, and complex numbers.

Introduction to Analytic and Probabilistic Number Theory: Third Edition
Gérald Tenenbaum

This book provides a thorough, self-contained introduction to the analytic and probabilistic methods of number theory.

Mathematical Reflections: Two Great Years (2012-2013)
Titu Andreescu and Cosmin Pohoata

This book is a great resource for students training for advanced national and international mathematics competitions such as USAMO and IMO.

Bulletin of the AMS

Bulletin of the AMS Two-point functions and their applications in geometry
( view abstract )
Two-point functions and their applications in geometry
The maximum principle is one of the most important tools in the analysis of geometric partial differential equations. Traditionally, the maximum principle is applied to a scalar function defined on a manifold, but in recent years more sophisticated versions have emerged. One particularly interesting direction involves applying the maximum principle to functions that depend on a pair of points. This technique is particularly effective in the study of problems involving embedded surfaces.

In this survey, we first describe some foundational results on curve shortening flow and mean curvature flow. We then describe Huisken's work on the curve shortening flow where the method of two-point functions was introduced. Finally, we discuss several recent applications of that technique. These include sharp estimates for mean curvature flow as well as the proof of Lawson's 1970 conjecture concerning minimal tori in $ S^3$.

Browse the archive 1891 - 2015.

Research Journals Spotlight