This book provides a broad introduction to some of the most
fascinating and beautiful areas of discrete mathematical
structures. It starts with a chapter on sets and goes on to provide
examples in logic, applications of the principle of inclusion and
exclusion and finally the pigeonhole principal. Computational
techniques including the principle of mathematical introduction are
provided, as well as a study on elementary properties of graphs,
trees and lattices. Some basic results on groups, rings, fields and
vector spaces are also given, the treatment of which is
intentionally simple since such results are fundamental as a
foundation for students of discrete mathematics. In addition, some
results on solutions of systems of linear equations are discussed.
General
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