Monomial Ideals and Their Decompositions is popular PDF and ePub book, written by W. Frank Moore in 2018-10-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Monomial Ideals and Their Decompositions can be Read Online from any device for your convenience.
Monomial Ideals and Their Decompositions Book PDF Summary
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, combinatorics and other areas of mathematics are provided which give the reader a sense of how these ideas reach into other areas.
Detail Book of Monomial Ideals and Their Decompositions PDF
- Author : W. Frank Moore
- Release : 24 October 2018
- Publisher : Springer
- ISBN : 9783319968766
- Genre : Mathematics
- Total Page : 394 pages
- Language : English
- PDF File Size : 15,9 Mb
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