Algorithms in Real Algebraic Geometry

Saugata Basu

ISBN 10: 3540330984 / ISBN 13: 9783540330981

Edité par Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 2006, 2006

A propos de cet article

Neuware -The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. In this textbook 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, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithm computing their first Betti number.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 676 pp. Englisch.

N° de réf. du vendeur 9783540330981

Détails bibliographiques

• Titre: Algorithms in Real Algebraic Geometry
• Éditeur: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 2006
• Date de parution: 2006
• Langue: anglais
• ISBN à 10 chiffres: 3540330984
• ISBN à 13 chiffres: 9783540330981
• Reliure: Buch
• Édition: 2ème Édition
• État de l'article: Neu

A propos de ce titre

Synopsis

Algorithms in Real Algebraic Geometry

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.