“Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don’t know what it means. But we have proved it, and therefore we know it must be the truth.” —Benjamin ...

To a nonmathematician, having the letter “i” represent a number that does not quite exist and is “imaginary” can be hard to wrap your head around. If you open your mind to this way of thinking, ...

The first variational problem, necessary conditions. Euler's equation. Generalization to dependent and independent variables. Constraints and Lagrange multipliers. Application to dynamics and ...

WHILE Paul Nahin is not the first to proclaim the power and beauty of mathematics, few have alluded to the “erotic connection between mathematical insight and sexual orgasm”. A stretch too far, ...

Leonhard Euler, a Swiss mathematician who continued to work on complex equations from memory even after he went blind, is honored in Monday’s Google Doodle on the 306th anniversary of his birth. Euler ...

Explore the profound connection between Euler's Identity and the Taylor series, two foundational concepts in mathematics. This overview explains how the expansion of exponential functions using the ...

Mathematics is not easy to explain, and many authors writing popular mathematics go out of their way not to lose their readers, perhaps bearing in mind Hawking's famous dictum that each equation ...