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"The present book is the first devoted to an extensive study of the algebraic structure of betaS and the many applications thereof; it is an exciting book, written - and very well written - by two mathematicians who are eminently qualified two write it, and it is essentially self-contained, requiring only that the reader come to it with the basic concepts of first graduate courses in algebra, analysis and topology. [...] I recommend this book highly; it will be very useful, both to researchers and to students. Its index, list of symbols and up-to-date bibliography are very helpful [...]."
Paul Milnes, Zentralblatt MATH / 1998

"The authors present a self-contained exposition [...]. The book under review is written by two mathematicians who have contributed in a decisive way to this rapidly expanding area [...] and provides a unique opportunity to obtain a 'colorful' panoramic view of the subject."
Michael Tkacenko, MathSciNet / 1999