Combinatorics is a book whose main theme is the study of subsets of
a finite set. It gives a thorough grounding in the theories of set
systems and hypergraphs, while providing an introduction to
matroids, designs, combinatorial probability and Ramsey theory for
infinite sets. The gems of the theory are emphasized: beautiful
results with elegant proofs. The book developed from a course at
Louisiana State University and combines a careful presentation with
the informal style of those lectures. It should be an ideal text
for senior undergraduates and beginning graduates.
General
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