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This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Discrete mathematics is mathematics that deals with discrete objects. Discrete objects are those which are separated from each other. Integers, rational numbers, automobiles, houses, people etc. are all discrete objects. On the other hand real numbers which include irrational as well as rational numbers are not discrete. As you know between any two different real numbers there is another real number different from either of them. So they are packed without any gaps and cannot be separated from their immediate neighbors. In that sense they are not discrete. In this book we will be concerned with objects such as integers, propositions, sets, relations and functions, which are all discrete.
