Functional Analysis

by George Bachman, Lawrence Narici

Excellent treatment of subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach Theorem and its consequences, and many other related subjects. Includes detailed proofs of theorems, bibliography, and index of symbols. 1966 edition.

Genres: Mathematics

544 pages, Paperback

First published January 1, 1966

Reviews

[Tinwerume]

I have a physical copy of this and I tend to read it in botanical gardens, and I think that skews my feelings. It's also my first functional analysis book so it's hard to judge its exposition and coverage.

I think it could stand to be a bit more explicit when it's introducing definitions.

Coming back to this after reading Rudin: I think Rudin is better, but neither is a subset of the other so I think both are worth reading.