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Monomial Ideals and Their Decompositions

Name: Monomial Ideals and Their Decompositions
Brand: Springer International Publishing AG
SKU: 19728514
Price: 47.49 EUR
Availability: InStock
Author: W. Frank Moore
ISBN: 9783319968742

W. Frank Moore

Mark Rogers

Sean Sather-Wagstaff

Lingua

Inglese

Libro In brossura

Codice Libristo: 19728514

Casa editrice Springer International Publishing AG, novembre 2018

This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polyn... Descrizione completa

Codice Libristo: 19728514

116 b

47.49 €

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This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra. Aimed toward advanced undergraduate students and graduate students who have taken a basic course in abstract algebra that includes polynomial rings and ideals, this book serves as a core text for a course in combinatorial commutative algebra or as preparation for more advanced courses in the area. The text contains over 600 exercises to provide readers with a hands-on experience working with the material; the exercises include computations of specific examples and proofs of general results. Readers will receive a firsthand introduction to the computer algebra system Macaulay2 with tutorials and exercises for most sections of the text, preparing them for significant computational work in the area. Connections to non-monomial areas of abstract algebra, electrical engineering, and combinatorics extend into other areas.