Home » Gr Bner Bases: A Computational Approach to Commutative Algebra by Thomas Becker
Gr Bner Bases: A Computational Approach to Commutative Algebra Thomas Becker

Gr Bner Bases: A Computational Approach to Commutative Algebra

Thomas Becker

Published March 23rd 1998
ISBN : 9780387979717
Hardcover
576 pages
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 About the Book 

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 wellMoreThe 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-Rashids son. The word algorithm is actually a westernization of al-Khowarizmis name, while algebra derives from al-jabr, a term that appears in the title of his book Kitab al-jabr wal 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 Euclids time, namely, the axiomatic method.