Gröbner Bases: A Computational Approach to Commutative Algebra (Graduate Texts in Mathematics) (v. 141)

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9780387979717: Gröbner Bases: A Computational Approach to Commutative Algebra (Graduate Texts in Mathematics) (v. 141)

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.

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Book Description Springer-Verlag New York Inc., United States, 1998. Hardback. Book Condition: New. 1st ed. 1993. Corr. 2nd printing 1998. Language: English . Brand New 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 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. Bookseller Inventory # AAZ9780387979717

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Book Description Springer-Verlag New York Inc., United States, 1998. Hardback. Book Condition: New. 1st ed. 1993. Corr. 2nd printing 1998. Language: English . Brand New 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 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. Bookseller Inventory # AAZ9780387979717

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Book Description Springer, 1998. Book Condition: New. Provides a comprehensive treatment of Gr bner bases theory embedded in an introduction to commutative algebra from a computational point of view. It explains how the Buchberger algorithm and the theory surrounding it are eminently important both for the mathematical theory and for computational applications. Series: Graduate Texts in Mathematics. Num Pages: 598 pages, 50 black & white tables, biography. BIC Classification: PBG. Category: (G) General (US: Trade); (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 236 x 164 x 41. Weight in Grams: 1050. . 1998. Corrected. Hardcover. . . . . . Bookseller Inventory # V9780387979717

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