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Numerical Semigroups
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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.
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