This undergraduate textbook is suitable for introductory classes in combinatorics and related
topics. The book covers a wide range of both pure and applied combinatorics beginning with the
very basics of enumeration and then going on to Latin squares graphs and designs. The latter
topic is closely related to finite geometry which is developed in parallel. Applications to
probability theory algebra coding theory cryptology and combinatorial game theory comprise
the later chapters. Throughout the book examples and exercises illustrate the material and
the interrelations between the various topics is emphasized. Readers looking to take first
steps toward the study of combinatorics finite geometry design theory coding theory or
cryptology will find this book valuable. Essentially self-contained there are very few
prerequisites aside from some mathematical maturity and the little algebra required is covered
in the text. The book is also a valuable resource for anyone interested in discrete mathematics
as it ties together a wide variety of topics.
