I've looked at differential equations, but nothing past what you would learn in Calculus I and II (slope fields, separation of variables, etc.). Is there a good book out there which provides a comprehensive introduction while not being too superficial? I checked out some other questions like this one and found Differential Equations With Applications and Historical Notes, which looks very cool, but I just want to make sure it is the best one to get before I get it. Thanks!!
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1Here's my review of the book you mentioned, which I loved, and which made a huge impression on me; I can honestly say that it changed my view of a large part of mathematics. My own undergraduate differential equations class used Boyce and DiPrima, which I found dull. – MJD May 07 '15 at 05:01
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@MJD Is "Differential Equations With Applications and Historical Notes" a real intro course, or does it assume the reader already has some knowledge of ODEs? – Tdonut May 07 '15 at 05:04
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It it a real intro course, assuming only a knowledge of calculus. – MJD May 07 '15 at 05:06
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However, I would not want to say it was "the best one to get". Different books are right for different people. A good way to find out is to check out a copy in the library and read the first chapter. – MJD May 07 '15 at 05:09