Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...

THE material of these lectures is drawn from the most central and fundamental of recent developments in the general theory of functions of real and of complex variables. The introduction and Chapter 1 ...

Although lecture is the traditional method of university mathematics instruction, there has been little empirical research that describes the general structure of lectures. In this paper, we adapt ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...

An old conjecture, probably going back to G. A. Dirac in the 1950's, states that regular graphs of large degree are Class 1 (with respect to edge-colorings): This conjecture has a counterpart where it ...