Solving Polynomial Equation Systems
β Teo Mora
π Library
π
2003
π Cambridge University Press
π English
β¦ LIBER β¦
π
Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving
β Scribed by Teo Mora
- Publisher
- Cambridge University Press
- Year
- 2015
- Tongue
- English
- Leaves
- 293
- Series
- Encyclopedia of Mathematics and its Applications
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on GrΓΆbner 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 BΓ©zout 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
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Solving systems of polynomial equations
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π web draft
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Solving Polynomial Equation Systems I
β Teo Mora
π Library
π
2003
π Cambridge University Press
π English
With the advent of computers, theoretical studies and solution methods for polynomial equations have changed dramatically. Many classical results can be more usefully recast within a different framework which in turn lends itself to further theoretical development tuned to computation. This first bo