In writing this book, I was guided by my long-standing experience and interest in teaching discrete mathematics. For the student, my purpose was to present material in a precise,
readable manner, with the concepts and techniques of discrete mathematics clearly presented
and demonstrated. My goal was to show the relevance and practicality of discrete mathematics
to students, who are often skeptical. I wanted to give students studying computer science all of
the mathematical foundations they need for their future studies. I wanted to give mathematics
students an understanding of important mathematical concepts together with a sense of why
these concepts are important for applications. And most importantly, I wanted to accomplish
these goals without watering down the material.