*Discrete Mathematics and Its Applications*, by Ken Rosen, 2012. Amazon link.
Here is the publisher's description:

*Discrete Mathematics and its Applications*, Seventh Edition, is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. This renowned best-selling text, which has been used at over 500 institutions around the world, gives a focused introduction to the primary themes in a discrete mathematics course and demonstrates the relevance and practicality of discrete mathematics to a wide variety of real-world applications…from computer science to data networking, to psychology, to chemistry, to engineering, to linguistics, to biology, to business, and to many other important fields.

It is now in its 7th(!) edition. Here is a link to its table of contents.
And here is a review (of the 5th edition) by Diane Spresser, which ends

... this is, overall, an excellent text, with an impressive supplemental package.