Algorithms in Real Algebraic Geometry (Algorithms and Computation in Mathematics, 10)

Basu, Saugata; Pollack, Richard; Coste-Roy, Marie-Françoise

ISBN 10: 3642069649 / ISBN 13: 9783642069642

Edité par Springer, 2010

A propos de cet article

N° de réf. du vendeur ABLIING23Mar3113020215962

Détails bibliographiques

• Titre: Algorithms in Real Algebraic Geometry (Algorithms and Computation in Mathematics, 10)
• Éditeur: Springer
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 3642069649
• ISBN à 13 chiffres: 9783642069642
• Reliure: Couverture souple
• Édition: 2ème Édition
• État de l'article: New

A propos de ce titre

Synopsis

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, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithm computing their first Betti number.

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.