Since J(x) [greater than or equal to] 0 for any admissible function x and taking [bar.x](t) = t, which satisfies the given boundary conditions (55), gives J([bar.x]) = 0, we conclude that x gives the global minimum to the fractional problem of the calculus of variations that consists in minimizing functional (54) subject to the boundary conditions (55).

This edition has been expanded to include chapters on: integral equations, calculus of variations, tensor analysis, time series, and partial fractions.

She teaches courses including algebra, calculus, partial differential equations, numerical analysis and calculus of variations. She also has served as an adviser for undergraduate research projects.