Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, 3E, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular chapter on wavelets that has been completely updated. Students and researchers agree that this is the definitive text on Hilbert Space theory.
• Updated chapter on wavelets
• Improved presentation on results and proof
• Revised examples and updated applications
• Completely updated list of references .
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 c. Book News, Inc., Portland, OR (booknews.com)