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Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology (Encyclopedia of Mathematics and its Applications, Series Number 99) - Hardcover

Book 91 of 188: Encyclopedia of Mathematics and its Applications

Mora, Teo

 
9780521811569: Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology (Encyclopedia of Mathematics and its Applications, Series Number 99)

Synopsis

A complete survey of Gröbner bases and their applications, this book will be essential for all workers in commutative algebra, computational algebra and algebraic geometry. The second volume of the treatise focuses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation is based on the intrinsic linear algebra structure of Gröbner bases, making this a state-of-the-art reference on issues of implementation.

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Book Description

The second volume of this comprehensive treatise focusses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation here is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in issues of implementation. Aiming to be a complete survey on Groebner bases and their applications, the book will be essential for all workers in commutative algebra, computational algebra and algebraic geometry.

Review

"The material contained in the book is remarkably wide-ranging and includes the most recent developments in the field. The book is ... a fundamental reference for anyone from undergraduate students to researchers interested in (computational aspects of) algebra."
Mathematical Reviews

"I have to admit that I fell in love with this book at first sight; for it is not just extremely well organized, it is also written in a style that is a joy to read... To sum up, this is a wonderful book, beautifully written and produced, that should be in every mathematical library. Actually, if you are a serious user of Gröbner bases you will probably wish to have your own copy of the book, which, I bet will soon be very well thumbed."
S.C. Coutinho, SIGACT News

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