Discrete Mathematics Aigner

Das Standardwerk über Diskrete Mathematik in deutscher Sprache. Nachdem die 5. Auflage vollständig neu bearbeitet wurde und das Buch im neuen Layout erschien, wurden in der 6. Auflage einige Druckfehler korrigiert.

It is now generally recognized that the field of combinatorics has, over the past years, evolved into a fully-fledged branch of discrete mathematics whose potential with respect to computers and the natural sciences is only beginning to be realized. Still, two points seem to bother most authors: The apparent difficulty in defining the scope of combinatorics and the fact that combinatorics seems to consist of a vast variety of more or less unrelated methods and results. As to the scope of the field, there appears to be a growing consensus that combinatorics should be divided into three large parts: (a) Enumeration, including generating functions, inversion, and calculus of finite differences; (b) Order Theory, including finite posets and lattices, matroids, and existence results such as Hall's and Ramsey's; © Configurations, including designs, permutation groups, and coding theory.