Functional analysis textbook (or course) with complete solutions to exercises

Erwin Kreyszig, Introductory Functional Analysis with Applications

  1. This book has solutions to all odd numbered questions at the back, so you can attempt to work on the problems first, and look at the solutions only when you have to. (This is better than having hints following the problem statements immediately so as to distract you from first concentrating on solving the problems by yourself.)
  2. The exercise problems are attached to each section, as opposed to putting a chapter's worth of problems only at the very end of a chapter. Therefore one could work on the exercises right after finish reading a section, when the memory is still fresh; and the problem solving is broken down into pieces so as not to overtire yourself.
  3. This is a rather elementary book on functional analysis, with minimal prerequisites.

Over all, a great book well suited for my needs.


Try Functional analysis, sobolev spaces and PDE's by H. Brezis. It's got a rather large collection of problems, with solutions. P.R. Halmos' "A Hilbert space problem book" is another very nice reference.


I have not taken this course, but it may be something to look into.

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