Bret Victor has an interesting contribution to the “Kill Math” project in the form of an iPad App that combines smooth user interface design with clever visuals for dynamic realtime visualization of systems of differential equations.

A user interface for exploring systems of differential equations. Every variable is shown as a plot; every parameter has a knob that can be adjusted in realtime. This ubiquitous visualization and in-context-manipulation helps the user develop a sense for how the parameters of the system influence its behavior.

Interactive Exploration of a Dynamical System from Bret Victor on Vimeo.

via Interactive Exploration of a Dynamical System on Vimeo.