But we have proved it, and therefore we know it must be the truth.” —Benjamin Pierce, a Harvard mathematician, after proving Euler’s equation, ei p = –1, in a 19th-century lecture.

Euler’s identity is an equality found in mathematics that has been compared to a Shakespearean sonnet and described as " the most beautiful equation." It is a special case of a foundational ...

Much has been written about the history of Euler's formula and Euler's equation, but there are many blank spots left in it. The equality 𝑙𝑛 (cosx + isinx) = 𝑥𝑖 was first obtained in verbal form ...

In the 1920s, two mathematicians working on separate continents proposed the same set of mathematical equations for describing population growth and decline in biological systems. Alfred Lotka, a ...

The group size model is derived from the Euler-Lotka life table equation by assuming that group size influences female survival and reproduction. It depends on the assumption that female choice rather ...

Euler’s identity is a special case of a foundational equation in complex analysis, Euler’s Formula, which he discovered in 1744. It shows how any complex number can be obtained by rotating a ...

The Lotka-Volterra equations — named after Alfred James Lotka and Vito Volterra, two mathematicians from the late 1800s and early 1900s — can help us understand why cycles show up everywhere.

In the 1920s, two mathematicians working on separate continents proposed the same set of mathematical equations for describing population growth and decline in biological systems. Alfred Lotka, a ...