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Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving
About this book
This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Grƶbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (GianniāKalkbrener Theorem, Stetter Algorithm, CardinalāMourrain 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 BĆ©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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Information
Table of contents
- Cover
- Half-title
- Series information
- Title page
- Copyright information
- Epigraph
- Table of contents
- Preface
- Setting
- PART SIX: Algebraic Solving
- Bibliography
- Index