Using algebraic geometry. Graduate Texts in Mathematics; 185.

Cox, David A.:

ISBN 10: 0387984879 / ISBN 13: 9780387984872

Published by New York, Springer, 2005

About this Item

xii, 572 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04598 9780387984872 Sprache: Englisch Gewicht in Gramm: 1150.

Seller Inventory # 2490835

Bibliographic Details

• Title: Using algebraic geometry. Graduate Texts in Mathematics; 185.
• Publisher: New York, Springer
• Publication Date: 2005
• Language: English
• ISBN 10: 0387984879
• ISBN 13: 9780387984872
• Binding: Hardcover
• Edition: Second edition.
• Weight: 1150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

Illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Grobner bases & resultants. 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. DLC: Geometry - Algebraic.

From the Back Cover

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 Gröbner bases and resultants.

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 Gröbner bases. The book does not assume the reader is familiar with more advanced concepts such as modules.

For the new edition, the authors have added a unified discussion of how matrices can be used to specify monomial orders; a revised presentation of the Mora normal form algorithm; two sections discussing the Gröbner fan of an ideal and the Gröbner Walk basis conversion algorithm; and a new chapter on the theory of order domains, associated codes, and the Berlekamp-Massey-Sakata decoding algorithm. They have also updated the references, improved some of the proofs, and corrected typographical errors.

David Cox is Professor of Mathematics at Amherst College. John Little is Professor of Mathematics at College of the Holy Cross. Dona

l O’Shea is the Elizabeth T. Kennan Professor of Mathematics and Dean of Faculty at Mt. Holyoke College. These authors also co-wrote the immensely successful book, Ideals, Varieties, and Algorithms.