The study of mathematical structures which are basically discrete instead of continuous is known as discrete mathematics. The objects of study within this field possess distinct, separated values. The sets of these objects can be either finite or infinite. Some of the major topics of study within this field are combinatorics, set theory, theoretical computer science, logic, number theory and probability. Combinatorics is involved in the study of the way in which discrete structures can be arranged or combined. Set theory in discrete mathematics primarily deals with the finite sets. Principles and concepts from this field are applied in numerous areas such as cryptography, computer algorithms, programming languages and software development. This book provides significant information of this discipline to help develop a good understanding of discrete mathematics. It covers in detail some existent theories and innovative concepts revolving around this field. Those in search of information to further their knowledge will be greatly assisted by this book.