Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2015

0521811554 / 9780521811552

Series: Book 159 of 188 - Encyclopedia of Mathematics and its Applications

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Hardcover. This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Groebner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (GianniKalkbrener Theorem, Stetter Algorithm, CardinalMourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bezout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers. This third volume of four describes all the most important techniques, mainly based on Groebner bases. It covers the 'standard' solutions (GianniKalkbrener, AuzingerStetter, CardinalMourrain) as well as the more innovative (LazardRouillier, GiustiHeintzPardo). The author also explores the historical background, from Bezout to Macaulay. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. …

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Title
Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving (Hardcover)
Author
Teo Mora
Publisher
Cambridge University Press, Cambridge
Publication year
2015
Condition
new
Binding
Hardcover
Language
English
ISBN 10
0521811554
ISBN 13
9780521811552
Series
Book 159 of 188: Encyclopedia of Mathematics and its Applications

CitiRetail

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