Chapter 9: Approximations of Integrals and Sums

Functions defined by integrals often appear in the investigation of dynamical systems. For example, in chemistry, reaction rate coefficients take the form [1] where, β > 0, is inversely related to the temperature and the functions A(β) and σ(x) are specified for a given type of reaction. This particular expression has been used to study the behaviors of K(β) in the limits β→0 and β→∞[2].