More from the American Mathematical Society

It Just Keeps Piling Up!

Are Precise Definitions a Good Idea?

Petals, Flowers and Circle Packings

Circles and Squares
Later on, mathematicians took up the much more difficult question, can we find a formula for rk(n), the number of ways to ...

Hidden Symmetries of Labyrinths from Antiquity and the Middle Ages
The purpose of this column is to point out that the great majority of labyrinth designs share a topological symmetry which, ...

Mathematics and Ecology
Rather than try to show the huge range of ways that mathematics is assisting biologists in understanding the vast landscape of ...

Game. SET. Line.
After playing the game for a while, two natural questions appear, which we will explore: "How many cards need to be turned face ...

Sums and Integrals: The Swiss analysis knife
The charm of the formula discovered by him [Euler] and MacLaurin is that it applies to a remarkable assortment of mathematical ...

Math and the Sewing Machine
In this column I will explore mathematical aspects of the action of the sewing machine and of the often associated bobbin ...

Mathematical Careers
You don't have to be a 'genius' to enjoy mathematics and have a career in it...

The Stable Marriage Problem and School Choice
This column will present the gametheoretic results contained in the original GaleShapley paper along with Roth's subsequent ...

The Mathematics of the Rainbow, Part II
I'll first recall in some detail the steps leading to Airy's formula for the intensity of light in a rainbow, and then say ...

Mathematics and Psychology
We will see that mathematics in its own terms and psychology in its own terms have benefited from their interaction with each ...

How to Grow and Prune a Classification Tree
In what follows, we will describe the work of Breiman and his colleagues as set out in their seminal book "Classification and ...

Why Do We Expect Lots of Twin Primes?
One important question is, how are prime numbers distributed among the integers? The answer is, in a very few words, rather ...

The Topology of Impossible Spaces
The purpose of this month's article is to bring once more to the public consciousness some work of Sir Roger Penrose...

Mathematics and Chemistry: Partners in Understanding Our World
Here I will give a sketch of some of the issues arising from using mathematics in fields outside of mathematics, but for this ...

Congressional Redistricting and Gerrymandering
We'll look at some measures that have been created to constrain gerrymandering...

Feeling Your Way Around in High Dimensions
The simplest objects of interest in any dimension, which are also the basis for approximating arbitrary objects, are the convex ...

The Knots in the Quipu, and in the Friar's Belt
In a canonical numerical quipu, each pendent (or subsidiary) displays a number: a positive integer, expressed in decimal ...
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