Functional Analysis: An Introduction to Metric Spaces, by Joseph Muscat
By Joseph Muscat
This textbook is an creation to sensible research fitted to ultimate 12 months undergraduates or starting graduates. Its quite a few functions of Hilbert areas, together with least squares approximation, inverse difficulties, and Tikhonov regularization, may still charm not just to mathematicians attracted to purposes, but in addition to researchers in similar fields.
Functional Analysis adopts a self-contained method of Banach areas and operator idea that covers the most issues, established upon the classical series and serve as areas and their operators. It assumes just a minimal of data in uncomplicated linear algebra and actual research; the latter is redone within the mild of metric areas. It includes greater than 1000 labored examples and workouts, which make up the most physique of the book.
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