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Gröbner Bases: A Computational Approach to Commutative Algebra (Graduate Texts in Mathematics, 141) - Hardcover
Synopsis
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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- PublisherSpringer
- Publication date1993
- ISBN 10 0387979719
- ISBN 13 9780387979717
- BindingHardcover
- LanguageEnglish
- Number of pages598
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Gröbner Bases: A Computational Approach to Commutative Algebra (Graduate Texts in Mathematics, 141)
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Springer (edition Corrected), 1993
ISBN 10: 0387979719
ISBN 13: 9780387979717
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Grobner Bases. A Computational Approach to Commutative Algebra. Graduate Texts in Mathematics 141
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Grobner Bases: A Computational Approach to Commutative Algebra (Graduate Texts in Mathematics, 141)
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New York: Springer, 1993., 1993
ISBN 10: 0387979719
ISBN 13: 9780387979717
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Grobner Bases: A Computational Approach to Commutative Algebra
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Springer-Verlag (1993), New York, 1993
ISBN 10: 0387979719
ISBN 13: 9780387979717
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Hardcover. Condition: Good+. Dust Jacket Condition: No Dust Jacket. First Edition. Ex-library. Library stamps and markings. ; xxii, [1], 574, [2] pages. Hardcover. Papered boards. Page dimensions: 234 x 152mm. Contents: Preface; How to Use This Book; List of Algorithms; Basics; Commutative Rings with Unity; Polynomial Rings; Vector Spaces and Modules; Orders and Abstract Reduction Relations; Grobner Bases; First Applications of Grobner Bases; Field Extensions and the Hilbert Nullstellensatz; Decomposition, Radical, and Zeroes of Ideals; Linear Algebra in Residue Class Rings; Variations on Grobner Bases; Appendix: Outlook on Advanced and Related Topics; Selected Bibliography; List of Symbols; Index. ; Graduate Texts in Mathematics; Ex-Library; Vol. 141; 8vo. Seller Inventory # 10874
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Gröbner Bases
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Springer New York Apr 1993, 1993
ISBN 10: 0387979719
ISBN 13: 9780387979717
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Buch. Condition: 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. Seller Inventory # 9780387979717
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