Description: Continuing on the success of the previous edition, this new, updated revision offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. Introduction to Hilbert Spaces, Second Edition acquaints students with the Lebesque integral, and it 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, as well as problems in approximation theory, nonlinear instability, and bifurcation. Also, the authors have developed a brand new, well-researched chapter on wavelets. Both students and researchers will agree that this is the definitive text on Hilbert space theory.

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