A beautiful landscape painting, a beautiful piano sonata -- art and music are almost exclusively described in terms of aesthetics, but what about math? Beyond useful or brilliant, can an abstract idea be considered beautiful? Yes, actually -- and not... Continue Reading →
Most of us know this phenomenon only too well: as soon as it is hot outside, you get an appetite for a cooling ice cream. But would you have thought that mathematics could be involved? Let us explain: The rising... Continue Reading →
In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function. The idea of the method is as follows: one starts with an initial guess which is... Continue Reading →
In geometry, an envelope of a family of curves in the plane is a curve that is tangent to each member of the family at some point, and these points of tangency together form the whole envelope. Classically, a point on the envelope can be thought of as the... Continue Reading →
Most important thing in life is learning how to fall.