Are there any good Discrete mathematics learning web resources with problem sets?
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1$\begingroup$ If you can afford or access it in a library, check out GPK's Concrete Mathematics. It has loads of exercises with solutions. $\endgroup$ – Raphael♦ Jun 20 '12 at 9:36
I have the perfect place for you, I really enjoyed it myself:
Discrete Mathematics lecture series on infocobuild
Everything I learned is from that site.
There is a whole course being offered by Udacity*, Logic and Discrete Mathematics, which has interactive quizzes and homework assignments.
The course description is as follows:
This course presents key concepts in discrete mathematics, specifically, elementary propositional logic and elements of enumerative combinatorics, elementary number theory, and graph theory, with partially ordered sets and lattices as a unifying concept.
*I am not affiliated with them in any way, but I have taken some of their prior courses
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$\begingroup$ @CyberneticTwerkGuruOrc Yeah, they have paywalled a lot of their courses at this point, and it no longer seems to be listed. Sorry. $\endgroup$ – jonsca Apr 4 '16 at 21:43
Kenneth Rosen's text "Discrete mathematics and its applications" is available on archive.org's opensource collection here. The PDF of the ebook can be downloaded (legally, it looks like).
Rosen's text is a classic for introductory discrete mathematics. Solutions to odd-numbered exercises are in the book.