This book is designed for a one semester course in discrete mathematics forsophomore or junior level students. The text covers the mathematical conceptsthat students will encounter in many disciplines such as computer science, en-gineering, Business, and the sciences.Besides reading the book, students are strongly encouraged to do all the excer-cises. Mathematics is a discipline in which working the problems is essential tothe understanding of the material contained in this book. Students are encour-aged first to do the problems without referring to the solutions. Solutions toproblems found at the end of this book can only be used when you are stuck.Exert a reasonable amount of efforts towards solving a problem before you lookup the answer, and rework any problem you miss.Students are strongly encouraged to keep up with the exercises and the sequelof concepts as they are going along, for mathematics builds on itself.