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Solving Polynomial Equation Systems

by Teo Mora
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Current price ₹9,288.00
Original price ₹14,289.00
Original price ₹14,289.00
Original price ₹14,289.00
(-35%)
₹9,288.00
Current price ₹9,288.00

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Book cover type: Hardcover
  • ISBN13: 9780521811552
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 294
  • Original Price: GBP 115.0
  • Language: English
  • Edition: N/A
  • Item Weight: 631 grams
  • BISAC Subject(s): Algebra / General

This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni-Kalkbrener Theorem, Stetter Algorithm, Cardinal-Mourrain 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 Bézout 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.

Mora, Teo: - Teo Mora is a Professor of Algebra in the Department of Mathematics at the University of Genoa.

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