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Synopsis
Book by Becker Thomas Weispfenning Volker
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
This book provides a comprehensive treatment of Gr bner bases theory embedded in an introduction to commutative algebra from a computational point of view. The centerpiece of Gr bner bases theory is the Buchberger algorithm, which provides a common generalization of the Euclidean algorithm and the Gaussian elimination algorithm to multivariate polynomial rings. The book explains how the Buchberger algorithm and the theory surrounding it are eminently important both for the mathematical theory and for computational applications. A number of results such as optimized version of the Buchberger algorithm are presented in textbook format for the first time. This book requires no prerequisites other than the mathematical maturity of an advanced undergraduate and is therefore well suited for use as a textbook. At the same time, the comprehensive treatment makes it a valuable source of reference on Gr bner bases theory for mathematicians, computer scientists, and others. Placing a strong emphasis on algorithms and their verification, while making no sacrifices in mathematical rigor, the book spans a bridge between mathematics and computer science.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurSpringer
- Date d'édition2012
- ISBN 10 146126944X
- ISBN 13 9781461269441
- ReliureBroché
- Langueanglais
- Nombre de pages604
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Gröbner Bases: A Computational Approach to Commutative Algebra (Graduate Texts in Mathematics)
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Gröbner Bases
Edité par
Springer New York Okt 2012, 2012
ISBN 10 : 146126944X
ISBN 13 : 9781461269441
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The origins of the mathematics in this book date back more than two thou sand years, as can be seen from the fact that one of the most important algorithms presented here bears the name of the Greek mathematician Eu clid. The word 'algorithm' as well as the key word 'algebra' in the title of this book come from the name and the work of the ninth-century scientist Mohammed ibn Musa al-Khowarizmi, who was born in what is now Uzbek istan and worked in Baghdad at the court of Harun al-Rashid's son. The word 'algorithm' is actually a westernization of al-Khowarizmi's name, while 'algebra' derives from 'al-jabr,' a term that appears in the title of his book Kitab al-jabr wa'l muqabala, where he discusses symbolic methods for the solution of equations. This close connection between algebra and al gorithms lasted roughly up to the beginning of this century; until then, the primary goal of algebra was the design of constructive methods for solving equations by means of symbolic transformations. During the second half of the nineteenth century, a new line of thought began to enter algebra from the realm of geometry, where it had been successful since Euclid's time, namely, the axiomatic method. 604 pp. Englisch. N° de réf. du vendeur 9781461269441
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Gröbner Bases : A Computational Approach to Commutative Algebra
Edité par
Springer New York, Springer US, 2012
ISBN 10 : 146126944X
ISBN 13 : 9781461269441
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The origins of the mathematics in this book date back more than two thou sand years, as can be seen from the fact that one of the most important algorithms presented here bears the name of the Greek mathematician Eu clid. The word 'algorithm' as well as the key word 'algebra' in the title of this book come from the name and the work of the ninth-century scientist Mohammed ibn Musa al-Khowarizmi, who was born in what is now Uzbek istan and worked in Baghdad at the court of Harun al-Rashid's son. The word 'algorithm' is actually a westernization of al-Khowarizmi's name, while 'algebra' derives from 'al-jabr,' a term that appears in the title of his book Kitab al-jabr wa'l muqabala, where he discusses symbolic methods for the solution of equations. This close connection between algebra and al gorithms lasted roughly up to the beginning of this century; until then, the primary goal of algebra was the design of constructive methods for solving equations by means of symbolic transformations. During the second half of the nineteenth century, a new line of thought began to enter algebra from the realm of geometry, where it had been successful since Euclid's time, namely, the axiomatic method. N° de réf. du vendeur 9781461269441
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Groebner Bases
Edité par
Springer New York, 2012
ISBN 10 : 146126944X
ISBN 13 : 9781461269441
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Groebner Bases: A Computational Approach to Commutative Algebra
Edité par
Springer-Verlag New York Inc., 2012
ISBN 10 : 146126944X
ISBN 13 : 9781461269441
Neuf
Paperback / softback
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 865. N° de réf. du vendeur C9781461269441
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Gröbner Bases: A Computational Approach to Commutative Algebra (Graduate Texts in Mathematics, 141)
Edité par
Springer, 2012
ISBN 10 : 146126944X
ISBN 13 : 9781461269441
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