In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...

Let f be a smooth function on the unit n-dimensional ball, with the C0-norm, equal to one. We prove that if for some k ⩾ 2, the norm of the kth derivative of f is bounded by 2-k - 1, then the set of ...

This journal, begun in 1943 as Mathematical Tables and Other Aids to Computation, publishes original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical ...