Introduction to Hilbert Spaces: With Applications - Tapa dura

"This will make an excelland textbook for senior undergraduates and beginning graduate students interested in learning functional analysis and about the wide array of practical problems that it can help solve. --JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, December 1999.

Continuing on the success of the previous edition, Introduction to Hilbert Spaces with Applications, Second Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesque integral, and includes an enhanced presentation of results and proofs. Students and researchers 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 new, well-researched chapter on wavelets. Students and researchers agree that this is the definitive text on Hilbert Space theory.