A Singular Introduction to Commutative Algebra

G-M Greuel Gerhard Pfister Gert-Martin Greuel

ISBN 10: 3540428976 / ISBN 13: 9783540428978

Edité par Springer, 2002

A propos de cet article

pp. 588 1st Edition.

N° de réf. du vendeur 2647984955

Détails bibliographiques

• Titre: A Singular Introduction to Commutative Algebra
• Éditeur: Springer
• Date de parution: 2002
• Langue: anglais
• ISBN à 10 chiffres: 3540428976
• ISBN à 13 chiffres: 9783540428978
• Reliure: Couverture souple
• État de l'article: New

A propos de ce titre

Synopsis

This book can be understood as a model for teaching commutative algebra, taking into account modern developments such as algorithmic and computational aspects. As soon as a new concept is introduced, it is shown how to handle it by computer. The computations are exemplified with the computer algebra system Singular developed by the authors. Singular is a special system for polynomial computation with many features for global as well as for local commutative algebra and algebraic geometry. The book includes a CD with a version of Singular for various platforms (Unix/Linux, Windows, Macintosh), including all examples and procedures explained in the book. The book can be used for courses, seminars and as a basis for studying research papers in commutative algebra, computer algebra and algebraic geometry.

Présentation de l'éditeur

From the reviews of the first edition: "It is certainly no exaggeration to say that … A Singular Introduction to Commutative Algebra aims to lead a further stage in the computational revolution in commutative algebra … . Among the great strengths and most distinctive features … is a new, completely unified treatment of the global and local theories. … making it one of the most flexible and most efficient systems of its type....another strength of Greuel and Pfister's book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic....Greuel and Pfister have written a distinctive and highly useful book that should be in the library of every commutative algebraist and algebraic geometer, expert and novice alike." J.B. Little, MAA, March 2004 The second edition is substantially enlarged by a chapter on Groebner bases in non-commtative rings, a chapter on characteristic and triangular sets with applications to primary decomposition and polynomial solving and an appendix on polynomial factorization including factorization over algebraic field extensions and absolute factorization, in the uni- and multivariate case.