This acclaimed book examines the topic of symbolic integration in comprehensive detail, incorporating new results along the way. The second edition offers a new chapter on parallel integration, and a number of other improvements including additional exercises.First edition received rave reviews The second edition offers a new chapter on parallel integration Includes additional exercisesAlgebraic Preliminaries.- Integration of Rational Functions.- Differential Fields.- The Order Function.- Integration of Transcendental Functions.- The Risch Differential Equation.- Parametric Problems.- The Coupled Differential System.- Structure Theorems.- Parallel Integration.