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.
