9783540330981: Algorithms in Real Algebraic Geometry: 10
Rilegato
ISBN 10: 3540330984 ISBN 13: 9783540330981
Casa editrice: Springer-Nature New York Inc, 2006

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer-Nature New York Inc
Data di pubblicazione
2006
Lingua
Inglese
ISBN 10 
3540330984
ISBN 13 
9783540330981
Rilegatura
Copertina rigida
Numero edizione
2
Numero di pagine
662
Contatto del produttore
Springer-Verlag GmbH
customerservice@springernature.com

Tiergartenstraße 17
Heidelberg
Baden-Württemberg
69121
Germania

Altre edizioni note dello stesso titolo

9783642069642: Algorithms in Real Algebraic Geometry: Algorithms and Computation in Mathematics Vol. 10

Edizione in evidenza

ISBN 10:  3642069649 ISBN 13:  9783642069642
Casa editrice: Springer, 2010
Brossura