The purpose of this book is to provide users with an introduction to the basic principles and methods of discrete mathematics, as well as the many applications of these concepts and techniques in a variety of domains. The field of mathematics known as discrete mathematics is a fundamental subfield that focuses on countable structures and processes. On the other hand, discrete mathematics is concerned with things that can be counted or numbered, such as integers, graphs, or sets. This is in contrast to continuous mathematics, which is concerned with notions such as real numbers and continuous functions. Even though it is an abstract field, discrete mathematics has a tremendous number of practical applications in a wide variety of fields, including computer science, operations research, engineering, cryptography, and many more. One of the most important aspects of the book is that it has a strong focus on problem-solving strategies and applications that are applicable in the real world. This makes the book approachable and relevant to students who come from a variety of academic backgrounds. For the purpose of assisting readers in developing a thorough comprehension of the content, it contains a large number of examples, exercises, and applications. This book is written for students who come from a diverse range of backgrounds and have a broad variety of interests. Students will get a strong foundation in discrete mathematics by reading this book, regardless of whether you are studying mathematics, computer science, engineering, or any other area that involves abilities in mathematical reasoning and problem-solving.