I help students like you succeed at Math and Physics. I work problems live on Blab at 1:30 Mountain Time every weekday, feel free to tune in.
Generalized functions, or distributions, are a way of making things like the Dirac delta "function" rigorous, and are analogous to probability distributions.
Much of applied math boils down to differential equations, which boils down to linear algebra.
Here's a clever example from Paul Nahin's new book Inside Interesting Integrals. Suppose you want to evaluate Since the range of integration is symmetric around zero, you might think to see whether...
When I interviewed Daniel Spielman at this year's Heidelberg Laureate Forum, we began our conversation by looking for common mathematical ground. The first thing that came up was orthogonal polynom...