Using Algebraic Geometry (Graduate Texts in Mathematics, vol.185) David Cox ; John Little ; Donal O'Shea / Graduate texts in mathematics ; 185

Cox, David A., John Little and DONAL OSHEA:

ISBN 10: 0387984925 / ISBN 13: 9780387984926

Editore: Springer 13.08.1998., 1998

499 Seiten An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors provide an introduction to some algebraic objects and techniques more advanced than typically encountered in a first course. The book is accessible to non-specialists and to readers with a diverse range of backgrounds, assuming readers know the material covered in standard undergraduate courses, including abstract algebra. But because the text is intended for beginning graduate students, it does not require graduate algebra, and in particular, does not assume that the reader is familiar with modules. 9780387984926 Wir verkaufen nur, was wir auch selbst lesen würden. Sprache: Deutsch Gewicht in Gramm: 711 15,6 x 2,4 x 23,5 cm, Taschenbuch. Codice articolo 39638

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

Dati bibliografici

Titolo: Using Algebraic Geometry (Graduate Texts in ...
Casa editrice: Springer 13.08.1998.
Data di pubblicazione: 1998
Legatura: Brossura
Condizione: Sehr gut
Edizione: Auflage: 1.