Algorithms in Real Algebraic Geometry: Algorithms and Computation in Mathematics Vol. 10 - Tapa blanda

Libro 11 de 24: Algorithms and Computation in Mathematics

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

 
9783642069642: Algorithms in Real Algebraic Geometry: Algorithms and Computation in Mathematics Vol. 10
Tapa blanda
ISBN 10: 3642069649 ISBN 13: 9783642069642
Editorial: Springer, 2010

Sinopsis

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.

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De la contraportada

<p>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.</p><p>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.</p><p>Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students.</p><p>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.</p>

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Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
3642069649
ISBN 13 
9783642069642
Encuadernación
Tapa blanda
Número de páginas
672
Contacto del fabricante
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Alemania

Otras ediciones populares con el mismo título

9783540330981: Algorithms in Real Algebraic Geometry: 10 (Algorithms and Computation in Mathematics, 10)

Edición Destacada

ISBN 10:  3540330984 ISBN 13:  9783540330981
Editorial: Springer, 2006
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