Gradient Fields Forever | James Howard Gradient Fields Forever | James Howard

### James HowardA Mathematician, a Different Kind of Mathematician, and a Statistician

The gradient of a scalar field is one of the most powerful topics I’ve ever seen in mathematics. It is the, quite simply, the multidimensional generalization of the derivative. We can interpret it is a slope in more than one direction. For instance, in calculus, we deal with two-dimensional lines that go back and forth in the $x$-plane and up and down in the $y$-plane.