Algorithms in real algebraic geometry Saugata Basu, Richard Pollack, Marie-Françoise Roy. Algorithms and computation in mathematics 10.

Basu, Saugata:

ISBN 10: 3540009736 / ISBN 13: 9783540009733

Published by Berlin , Springer [2003]., 2003

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 14 BAS 9783540009733 Sprache: Englisch Gewicht in Gramm: 1150.

Seller Inventory # 2499610

Bibliographic Details

• Title: Algorithms in real algebraic geometry Saugata Basu, Richard Pollack, Marie-Françoise Roy. Algorithms and computation in mathematics 10.
• Publisher: Berlin , Springer [2003].
• Publication Date: 2003
• Language: English
• ISBN 10: 3540009736
• ISBN 13: 9783540009733
• Binding: Softcover
• Weight: 1150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

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.

From the Back Cover

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 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.

This revised second edition contains several recent results, notably 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. An index of notation has also been added.