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Gröbner Bases

A Computational Approach to Commutative Algebra

Springer New York,
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Kurzbeschreibung

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.

Details
Schlagworte

Titel: Gröbner Bases
Autoren/Herausgeber: Thomas Becker, Volker Weispfenning
Weitere Mitwirkende: H. Kredel
Aus der Reihe: Graduate Texts in Mathematics
Ausgabe: 1st ed. 1993. Corr. 2nd printing 1998

ISBN/EAN: 9780387979717

Seitenzahl: 576
Format: 23,5 x 15,5 cm
Produktform: Hardcover/Gebunden
Gewicht: 2,250 g
Sprache: Englisch

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