An Introduction to Gröbner Bases (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) - Hardcover

Fröberg, Ralf

 
9780471974420: An Introduction to Gröbner Bases (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
Hardcover
ISBN 10: 0471974420 ISBN 13: 9780471974420
Verlag: Wiley, 1997

Inhaltsangabe

As algebra becomes more widely used in a variety of applications and computers are developed to allow efficient calculations in the field, so there becomes a need for new techniques to further this area of research. Gröbner Bases is one topic which has recently become a very popular and important area of modern algebra. This book provides a concrete introduction to commutative algebra through Gröbner Bases. The inclusion of exercises, lists of further reading and related literature make this a practical approach to introducing Gröbner Bases. The author presents new concepts and results of recent research in the area allowing students and researchers in technology, computer science and mathematics to gain a basic understanding of the technique. A first course in algebra is the only prior knowledge required for this 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

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Ralf Fröberg is the author of An Introduction to Gröbner Bases, published by Wiley.

Von der hinteren Coverseite

As algebra becomes more widely used in a variety of applications and computers are developed to allow efficient calculations in the field, so there becomes a need for new techniques to further this area of research. Gröbner Bases is one topic which has recently become a very popular and important area of modern algebra. This book provides a concrete introduction to commutative algebra through Gröbner Bases. The inclusion of exercises, lists of further reading and related literature make this a practical approach to introducing Gröbner Bases. The author presents new concepts and results of recent research in the area allowing students and researchers in technology, computer science and mathematics to gain a basic understanding of the technique. A first course in algebra is the only prior knowledge required for this 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

Aus dem Klappentext

As algebra becomes more widely used in a variety of applications and computers are developed to allow efficient calculations in the field, so there becomes a need for new techniques to further this area of research. Gröbner Bases is one topic which has recently become a very popular and important area of modern algebra. This book provides a concrete introduction to commutative algebra through Gröbner Bases. The inclusion of exercises, lists of further reading and related literature make this a practical approach to introducing Gröbner Bases. The author presents new concepts and results of recent research in the area allowing students and researchers in technology, computer science and mathematics to gain a basic understanding of the technique. A first course in algebra is the only prior knowledge required for this 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

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Wiley
Erscheinungsdatum
1997
Sprache
Englisch
ISBN 10 
0471974420
ISBN 13 
9780471974420
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
192
Kontakt zum Hersteller
Wiley-VCH GmbH
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