Algebraic and Probabilistic Methods in Discrete Mathematics
Noga Alon · Birkhäuser Basel eBooks · 2000
Combinatorics is an essential component of many mathematical areas, and its study has experienced an impressive growth in recent years. This survey contains a discussion of two of the main general techniques that played a crucial role in the development of modern combinatorics: algebraic methods and probabilistic methods. Both techniques are illustrated by examples, where the emphasis is on the basic ideas and the connection to other areas.