ABSTRACT
The fruitfulness of the use of mathematics lies essentially in the resulting movement from the discrete terms, in which all demographic observations are given, to continuous terms, which are the domain of mathematical analysis. This chapter discusses how the description of demographic phenomena is presented in the language of mathematical analysis. It describes how the expectation of life at birth is expressed. The use of continuous notation greatly simplifies the problem of specifying relationships between events. The chapter uses the continuous formulation to evaluate the annual probabilities relative to each category of vital events, using registered vital events within a given population size.
