TITLE: Good 1st PDE book for self study
QUESTION [97 upvotes]: What is a good PDE book suitable for self study?   I'm looking for a book that doesn't require much prerequisite knowledge beyond undergraduate-level analysis.  My goal is to understand basic solutions techniques as well as some basic theory.

REPLY [2 votes]: I would also like to add Peter Olver's "Introduction to partial differential equations" to this growing list. It was published in 2014 and is very suitable for self-studying. The preface does a good job of explaining the various topics and prerequisites required to understand PDEs which I hadn't appreciated until I read it in the book-highly recommended. Solutions to about 20% of exercises are available on the author's website.