Counting: The Art of Enumerative Combinatorics

Rating:
Summary: Great Introduction on Counting
Review: This book is a good introduction to counting (combinatoric type counting). The book has answers to most of it's problems and recommends you try the problems before looking at the answers. Most of the problems are simple, and hit hard on the idea the section of the book is trying to get across.

It covers simple counting, groups, generating functions, recurrence relations and mathematical induction. The book concludes with graph theory. Some chapter sections get a little hard to understand, hence the 4 star and not 5 star rating (2 stars is what I'd give a decent book, so this one is a shining star). Most of the book is clear cut.