| A general introduction to a method for solving mathematical problems that has faded from the curriculum since the advent of electronic calculators and computers. Addressed not only to mathematicians, but also others who are looking for direct methods for solving equations and problems that arise their work. Assumes readers to be acquainted with the basic notions of functional analysis and linear algebra, and occasionally locally pseudo-convex and locally bounded spaces. The topics include logarithms and antilogarithms of higher order, Leibniz algebras, semigroup properties of solutions to linear equations, periodic problems, and fractional calculus. |