Trying variants of a simple mathematical rule that yields interesting results can lead to additional discoveries and curiosities. The numbers 1, 1, 2, 3, 5, 8, 13, 21, 34, and 55 belong to a famous ...

AbstractIn this note we consider two sequences of polynomials, which are denoted by { U n,m (k) } and { V n,m (k) } , where 𝑘, 𝑚, 𝑛 are nonnegative integers, and 𝑚 ≥ 2. These sequences represent ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

First mapped by a merchant's son in 13th-century Italy, the Fibonacci sequence has become one of the most influential patterns in science, design, and technology. When you think of math, you might ...

As their results began to crystallize, at first they didn’t notice the striking patterns emerging. But a colleague who reviewed their work spotted the famed Fibonacci numbers—a list whose entries have ...

Dima Vonko is a software entrepreneur and writer for trade publications, including Trade2Win and Traders Tips. Gordon Scott has been an active investor and technical analyst or 20+ years. He is a ...

Pine cones. Stock-market quotations. Sunflowers. Classical architecture. Reproduction of bees. Roman poetry. What do they have in common? In one way or another, these and many more creations of nature ...

To carry out their calculations, merchants in the early 13th century used an abacus or a system called finger reckoning. Commerce changed when Leonardo of Pisa — known today as Fibonacci — published ...