A research team led by the University of Tsukuba has revolutionized the visualization of neuronal activity in the brain through a simplified mathematical analysis. Previous methods of visualizing ...

Mathematics is one of the oldest disciplines of study. For all its antiquity, however, it is a modern, rapidly growing field. Only 70 years ago, mathematics might have been said to consist of algebra, ...

Uncovering mechanisms regulating immune system responses is key to strengthening and redirecting them whenever necessary in cancer and infections as well as understanding autoimmune diseases. However, ...

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...

The exact science of tree sap transport has puzzled plant physiologists for many years. Sap's migration throughout tree trunks and branches is linked heavily to transpiration, the movement and ...

Green, Jerry R., and Walter P. Heller. "Mathematical Analysis and Convexity with Applications to Economics." In Handbook of Mathematical Economics, Vol. 1, edited by Kenneth J. Arrow and Michael D.

Today's mathematical research, both pure and applied, is paving the way for major scientific, engineering, and technological breakthroughs. Cutting-edge work in the mathematical sciences is ...