Introductory/Intuitive Functional Analysis Book

Question

Can you recommend a gentle introduction to the abstract thinking and motivation of functional analysis? I'm looking for a book that holds you by the hand and shows the details of exercises, etc.

Thanks.

Answer 1

Of the well written books on Functional analysis that I've seen, Kreyszig is the most elementary. The Amazon reviews seem to agree with me.

Answer 2

Erwin Kreyszig Introductory Functional Analysis or Rynne & Youngson Linear Functional Analysis.

Both are elementary, well-written and self-contained.

Answer 3

I would recommend Introduction to Functional Analysis by S.C. Bose. The text is really good and simple to understand; there is a considerable number of solved exercises and examples. I'm getting a desire to re-read!