Convergence of infinite series

HandwrittenThesis advisor: J.N. FellowsM.A. University of Missouri 1900We shall define an infinite series as a succession of series formed after sum definite law. Most generally the series are actual numbers or are at least regarded as constraints, and we are concerned with their sum. There may be either a finite or an infinite number of terms. Thus we have two theories, finite and infinite series. But it is only in the latter that the notion of convergency and divergency present themselves