Introduction to Hilbert Spaces with Applications

This attractively conceived and executed text for graduate and advanced undergraduate students derives from class notes developed at Georgia Tech and at the U. of Central Florida (Orlando). Part I (four chapters) treats the theoretical essentials. Part II provides review of applications to integral/differential equations, to generalized functions and partial differential equations, to quantum mechanics, to optimization problems and related topics. The text is punctuated at frequent intervals by examples, there are exercises (with hints and selected solutions) at the end of each of the eight chapters, and the bibliography conforms well to the spirit of the text. (NW) Annotation copyright Book News, Inc. Portland, Or.