This text on functional analysis in applied mathematics and engineering introduces basic function spaces and operators early so that the student can study problems at great length in the Hilbert space setting. A firm foundation for the subject is established by covering the spectral theorem for unbounded operators and the abstract evolution semi-group theory for time-dependent linear partial differential equations. Over 200 exercises are included in the text and a solutions manual is available for the instructor. The book should be useful to control engineers from the disciplines of...