Using Algebraic Geometry (Graduate Texts in Mathematics, vol.185).

Cox, David A.; Little, John; OSHEA, DONAL;

ISBN 10: 0387984925 / ISBN 13: 9780387984926

Editore: New York. Springer-Verlag., 1998

Riguardo questo articolo

Zust: Gutes Exemplar. 499 Seiten, mit Abbildungen, Englisch 726g.

Codice articolo 360653

Dati bibliografici

• Titolo: Using Algebraic Geometry (Graduate Texts in Mathematics, vol.185).
• Editore: New York. Springer-Verlag.
• Data di pubblicazione: 1998
• Lingua: Inglese
• ISBN 10: 0387984925
• ISBN 13: 9780387984926
• Rilegatura: kartoniert
• Condizione: Sehr gut
• Peso: 726 grammi
• Cataloghi dei venditori:
  • Mathematik

Descrizione articolo

Riassunto

In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gr"obner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Gr"obner bases. The book does not assume the reader is familiar with more advanced concepts such as modules.

Recensione

"Das vorliegende Buch ist exzellent geschrieben. Es enthält neben zahlreichen theoretischen auch viele praktische Aufgaben mit Computeralgebrasystemen ( vor allem Macaulay, Maple und Singular). Zusammen mit Cox, Little, O'Shea: Ideals, Varieties, and Algorithms ist es sehr gut geeignet als erste Einführung in die angesprochenen Themenkreise. Dabei können sehr viele Kapitel des Buchs im Wesentlichen unabhängig von den anderen Kapiteln gelesen werden."
DMV Jahresbericht, Bd. 103, Heft 1, 2001