Discrete mathematics is the study of
mathematical structures that are fundamentally discrete rather than continuous.
In contrast to real numbers that have the property of varying
"smoothly", the objects studied in discrete mathematics – such as
integers, graphs, and statements in logic – do not vary smoothly in this way,
but have distinct, separated values.
In the present book, fifteen typical
literatures about discrete mathematics published on international authoritative
journals were selected to introduce the worldwide newest progress, which
contains reviews or original researches on continuous mathematics, euclidean
geometry, countable set, combinatorics, graph theory, etc. We hope this book
can demonstrate advances in discrete mathematics as well as give references to
the researchers, students and other related people.