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Solving Polynomial Equation Systems II

Macaulay's Paradigm and Grobner Technology
BuchGebunden
784 Seiten
Englisch
Cambridge University Presserschienen am29.01.2008
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. The same language describes the applications of Groebner technology to the central problems of commutative algebra. The book can be also used as a reference on elementary ideal theory and a source for the state-of-the-art in its algorithmization. Aiming to provide a complete survey on Groebner bases and their applications, the author also includes advanced aspects of Buchberger theory, such as the complexity of the algorithm, Galligo's theorem, the optimality of degrevlex, the Gianni-Kalkbrener theorem, the FGLM algorithm, and so on. Thus it will be essential for all workers in commutative algebra, computational algebra and algebraic geometry.mehr
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Produkt

KlappentextThe 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. The same language describes the applications of Groebner technology to the central problems of commutative algebra. The book can be also used as a reference on elementary ideal theory and a source for the state-of-the-art in its algorithmization. Aiming to provide a complete survey on Groebner bases and their applications, the author also includes advanced aspects of Buchberger theory, such as the complexity of the algorithm, Galligo's theorem, the optimality of degrevlex, the Gianni-Kalkbrener theorem, the FGLM algorithm, and so on. Thus it will be essential for all workers in commutative algebra, computational algebra and algebraic geometry.
Details
ISBN/GTIN978-0-521-81156-9
ProduktartBuch
EinbandartGebunden
Erscheinungsjahr2008
Erscheinungsdatum29.01.2008
Seiten784 Seiten
SpracheEnglisch
MasseBreite 161 mm, Höhe 240 mm, Dicke 46 mm
Gewicht1329 g
Artikel-Nr.13885872

Inhalt/Kritik

Inhaltsverzeichnis
Preface; Part III. Gauss, Euclid, Buchberger - Elementary Groebner Bases: 20. Hilbert; 21. Gauss; 22. Buchberger; 23. Macaulay I; 24. Groebner I; 25. Gebauer and Traverso; 26. Spear; Part IV. Duality: 27. Noether; 28. Moeller I; 29. Lazard; 30. Macaulay II; 31. Groebner II; 32. Groebner III; 33. Moeller II; Part IV. Beyond Dimension Zero: 34. Groebner IV; 35. Gianni Trager Zacharias; 36. Macaulay III; 37. Galligo; 38. Giusti; Bibliography; Index.mehr

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