Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...

This is a preview. Log in through your library . Abstract In this paper the problem proposed by Kuhn on the presence of a monotonicity property related to the Kuhn's algorithm for finding roots of a ...

A new method for the simultaneous approximation of all the roots of a polynomial is given. The method converges for almost every initial approximation, the set of the exceptional starting points being ...

The mathematician hopes this method will help students avoid memorizing obtuse formulas. His secret is in generalizing two roots together instead of keeping them as separate values. Quadratic ...