An Introduction to Gröbner Bases
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Beschreibung
As algebra becomes more widely used in a variety of applicationsand computers are developed to allow efficient calculations in thefield, so there becomes a need for new techniques to further thisarea of research. Gröbner Bases is one topic which hasrecently become a very popular and important area of modernalgebra. This book provides a concrete introduction to commutativealgebra through Gröbner Bases. The inclusion of exercises,lists of further reading and related literature make this apractical approach to introducing Gröbner Bases. The authorpresents new concepts and results of recent research in the areaallowing students and researchers in technology, computer scienceand mathematics to gain a basic understanding of the technique. Afirst course in algebra is the only prior knowledge required forthis introduction. Chapter titles include:
* Monomial ldeas
* Gröbner Bases
* Algebraic Sets
* Solving Systems of Polynomial Equations
* Applications of Gröbner Bases
* Homogeneous Algebra
* Hilbert Series
* Variations of Gröbner Bases
* Improvements to Buchberger's Algorithms
* Software
Autor*in
Ralf Fröberg
Themen in »An Introduction to Gröbner Bases«
Applied Mathematics in Science Computer Science Computer Science Special Topics Informatik Kommutative Algebra Mathematics Mathematik Mathematik / Arithmetik, Algebra Mathematik in den Naturwissenschaften Spezialthemen Informatik