Publisher's Synopsis
This work describes, with the aid of worked examples and supplementary problems, many of the more recent and important techniques for the numerical evaluation of definite integrals.;The book is divided into nine chapters whose contents describe, among others, Newton-Cotes, Gaussian, Dronrod and SINC quadratures. Methods are also described for the numerical evaluation of integrals whose integrands contain singularities - in particular, Cauchy principal value integrals - and for the numerical evaluation of divergent integrals, as well as for the approximation of infinite and semi-infinite integrals.;The author also presents sets of tables of global error bounds for most of the important quadrature rules. These tables allow the user to choose which form of a quadrature rule will approximate an integral to any accuracy required in most applications after only one calculation. Such tables should be of use to undergraduate or postgraduate students, engineers, professional mathematicians and scientists.
