This book is a compilation of chapters that discuss the most vital concepts in the field of discrete mathematics. It discusses some of the most fundamental theories of this field in detail. Discrete mathematics refers to the study of discrete mathematical structures. It includes the study of logic statements, integers, and graphs, which have separate values. The branches of discrete mathematics include calculus and analysis. This text attempts to understand the multiple branches that fall under this discipline and how such concepts have practical applications. The topics covered in this extensive book deal with the core subjects of discrete mathematics. This textbook is an essential guide for both academicians and those who wish to pursue this discipline further.