Numerical Semigroups

"This monograph is the first devoted exclusively to the development of the theory of numerical semigroups. In this concise, self-contained text, graduate students and researchers will benefit from this broad exposition of the topic. Key features of ""Numerical Semigroups"" include: - Content ranging from the basics to open research problems and the latest advances in the field, - Exercises at the end of each chapter that expand upon and support the material, - Emphasis on the computational aspects of the theory, algorithms are presented to provide effective calculations, - Many examples that illustrate the concepts and algorithms, - Presentation of various connections between numerical semigroups and number theory, coding theory, algebraic geometry, linear programming, and commutative algebra would be of significant interest to researchers."