Algorithms in Real Algebraic Geometry - Couverture rigide

Basu, Saugata; Pollack, Richard; Roy, Marie-Francoise

Couverture rigide

ISBN 10 : 3540009736 ISBN 13 : 9783540009733

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2003

Synopsis

The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing.Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects, and researchers in computer science and engineering will find the required mathematical background.Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students.

A propos du livre

Présentation de l'éditeur

This is the first graduate textbook on the algorithmic aspects of real algebraic geometry. The main ideas and techniques presented form a coherent and rich body of knowledge. Mathematicians will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students. This second edition contains several recent results on discriminants of symmetric matrices and other relevant topics.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 2003
• Langue: anglais
• ISBN 10: 3540009736
• ISBN 13: 9783540009733
• Reliure: Relié
• Nombre de pages: 610
• Coordonnées du fabricant: non disponible