Where can I find a comprehensive resource for learning discrete mathematics?

[tntcoder]

Hi,

Im after some advice on what materials to use in order to gain a fairly 'decent' understanding of the following topics:

Elementary Set Theory, Subsets, Unions, Intersections, Complements. Logic, Functions, Mappings, Injectivity. Subjectivity. Bijectivity, Permutations, Proof techniques (contradiction, induction).

I covered the basics of these topics about 3 years ago, and have done virtually no maths studying since then, so i only have vague memories :(

Can anyone reccomend a decent book that covers these topics, and contains solid self practice exercises.

This is knowledge which I am supposed to have as a prerequisite for a masters degree, so i really just want to brush up on it to a point where i know what I am talking about to pass an interview and not struggle with the more advanced use of the mathematics which might come up in the degree (computing).

Many thanks,

Jack

 

[QuantumQuest]

A very decent book is Discrete Mathematics and Its Applications by Kenneth H. Rosen. Although it is a formal textbook for one or two term introductory Discrete Mathematics courses taken by students from a wide variety of majors, including Computer Science, Mathematics, and Engineering, it is accessible, flexible and precise enough with lots of examples and a number of intermediate and difficult exercises.