Combinatorics of Numbers
In the late 70s the natural semigroup structure on the Stone-Cech compactification of the discrete space of positive integers became one of the most interesting objects in combinatorics of numbers and topological algebra. The method of ultrafilters in combinatorics of numbers was developed as a result of investigations of this semigroup. The aim of the book is to provide a systematic and self-contained exposition of the methods of ultrafilters and its applications. Many well-known and new combinatorical theorems and their generalizations are proved by use of this method. Mathematical Studies: Monograph Series. Volume 2.
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