I know what you're going through. I was deeply troubled (still am, really) when I first read Hume and started thinking about the Problem of Induction. You might enjoy taking a look at Hume's Inquiry on Human Understanding. (I'm sure you can find it online.) I also found Wesley Salmon's essay "An Encounter with David Hume" useful. I originally read it here:

http://www.amazon.com/Reason-Responsibility-Readings-Problem...

(This book has several other good essays in philosophy of science.) Salmon's essay seems to be reproduced here:

http://kslinker.com/An_Encounter_with_David_Hume.htm