Combinatorics, another name for combinatorial mathematics, is explained in this book. The portion of combinatorics known as "counting" by mathematicians is a particular but not sole emphasis of the book.
The majority of the book is made up of issues. Other problems ask you to prove the theorem, while still others ask you to figure out a concept and state a theorem about it. Some of the problems are meant to get you to think about a concept.
You can apply a theorem you have proven in other problems. There are discussions that occasionally bring together some of the lessons you have learned or present a fresh perspective for you to consider. Many of the exercises are meant to help you develop your understanding of the workings of combinatorial mathematics.
There are issues that some individuals will address fast while others will require everyone to think about them for days. The best way to use this book is probably to focus on one issue until you feel like you aren't making any progress, at which point move on to the next.
Except for a few typographical corrections, the published version's content is nearly identical to that of the 2004 release.