This monograph is devoted to various types of algebras of functions with n variables. It is the
first complete monograph (in English) on this topic covering mainly the Russian literature. It
is addressed to all algebraists working in the area of universal algebras semigroup theory
etc. It is also a useful source of information for graduate and PhD students who are starting
their research in this area.The book is the first monograph in the English mathematical
literature which provides readers with a very systematical study of the notion of Menger
algebras and its generalizations and applications. The results presented here were originally
published mostly in the Russian literature: In 2006 the first version of this book was edited
in Russian and it is now presented in an extended version where two new and very important
chapters are added. The monograph is a broad survey of unknown or little-known Russian
literature on algebras of multiplace functions and presents to the mathematical community a
beautiful and strongly developing theory.
