Description:
This book begins with two seminars: Additive Cominatorics and non-unique factorizations; Sumsets and structure. The book then offers notes from those seminars to address the methods, techniques and problems of contemporary additive combinatorics.
Review Quotes:
From the reviews:
"Combinatorial number theory revolves in some sense around Goldbach's conjecture, which serves as a prototype of the kind of problems involved. ... On the whole, the book is quite technical and aimed principally to researchers or PhD students. The prerequisites are a good acquaintance with general commutative algebra, algebraic number theory and elementary group theory." (Fabio Mainardi, The Mathematical Association of America, October, 2009)