This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course. It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families of self-adjoint operators. The author's notion of measurable Hilbert bundles is used to give the spectral theorem a particularly elegant formulation not to be found in other textbooks on the subject.
"This book would serve admirably well for a one semester course on the subject. In view of its conciseness and brevity, it serves as a useful reference for graduate students studying for qualifying exams." -- Mathematical Association of America "It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families." -- Zentralblatt MATH
"This nice book contains an enormous amount of information in relatively few pages." -- MathSciNet
"This is a nice book! It contains an enormous amount of information in relatively few pages. This is more a textbook to help a teacher present an inspiring course in modern analysis rather than a book for self-study." -- Mathematical Reviews Clippings
