Solution Techniques for Elementary Partial Differential Equations, Third Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). Making the text even more user-friendly, this third edition covers important and widely used methods for solving PDEs. New to the Third Edition This bestselling, highly praised textbook uses a streamlined, direct approach to develop students’ competence in solving PDEs. It offers concise, easily understood explanations and worked examples that allow students to see the techniques in action.
Edit PLEASE NOTE: A few people have messaged me about the pdf solutions manual that I mention below. Unfortunately, no--I cannot hand out the solutions manual to you, since they are copyrighted. I would love to help you if you have a specific question perhaps; otherwise, I hope the best for you on your PDE class, and thanks for understanding. :)
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As thorough and informative as this book is, I'm glad I don't have to look at it ever again (well, I guess I might still need to reference it for my future classes...).
Professor Constanda actually taught my PDE class, so this book greatly complemented his teaching style. I would especially recommend getting the solution manual for the exercises at the end of the chapters. Prof. Constanda gave us the pdf version of the solutions, so I'm not actually sure if there is a separate book for that or what. Nevertheless, it was extremely helpful.
Like any math textbook, the pages are dense with information that students probably have to go through a few times to fully understand. However, the plethora of example questions is clear and thorough enough to answer most questions I had when I was going through the exercises. Of course, I might be biased since my class was taught by the author.
The book also doesn't weigh that much, which, as a textbook-lugging student, is an important factor that most professors don't really consider unfortunately.