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Numerical Semigroups PDF

186 Pages·2009·1.364 MB·English
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by J.C. Rosales, P. A. García-Sánchez (auth.)| 2009| 186 pages| 1.364| English

About 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."Numerical Semigroups" is accessible to first year graduate students, with only a basic knowledge of algebra required, giving the full background needed for readers not familiar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.

Detailed Information

Author:J.C. Rosales, P. A. García-Sánchez (auth.)
Publication Year:2009
ISBN:9781441901590
Pages:186
Language:English
File Size:1.364
Format:PDF
Price:FREE
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