Applied Partial Differential Equations

I found this book much more explanatory than another book I had purchased for a different partial differential equations class (I don't remember the author, but it was small and red, the bad book that is). This book does just what it says, it is more applied, and I found that much more useful as I am a scientist. They do a fairly good job of explaining why they are doing things, and have appendixes to show more of the gory detail of a derivation than they show in the regular text if you want it.

Says it all. Could use some more example but it's a good introduction to PDE

I'm an undergraduate mechanical engineering major pursuing a minor in mathematics. I used this book for a two course sequence and I can say that it has been invaluable in my job as a research assistant at my university's computational mechanics research center. It's helped me implement software for computational fluid dynamics and heat transfer. (Note, I didn't design the algorithms, faculty and grad students took care of that, still, it's good to know what you're doing.)

Most books on PDEs either address very basic, introductory concepts or tackle advanced topics requiring Measure theory. In addition, they focus mainly on theoretical concepts and do not provide adequate worked examples. Haberman's text is immensely useful both in bridging the gap between elementary and advanced books as well as in providing many, many completely worked problems. Indeed once you have had a basic course in PDEs you could use this text to teach yourself graduate-level topics such as Green's functions. I do not try to convey the impression that this is a mere cookbook - "here's a problem, let's look up the solution". To the contrary. Haberman provides the motivation for each kind of mathematical treatment and interprets his results, pointing out their important consequences. His presentation of Gibbs' phenomenon is the most clear and comprehensive I have yet come across. I heartily recommend this book especially to Math and Physics seniors who hope to continue on to graduate school in either of these subjects. In either case, it is expected of you to be adept at Green's functions and Haberman's book lays the groundwork for this topic.

A good text to begin learning PDE with- I looked at two other books and preferred learning from this one over the others. The notation is clear, the worked examples are enough to get you started without baby-stepping through everything. Challenging hw problems, and the lessons are well laid out.