Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving (Encyclopedia of Mathematics and its Applications, Series Number 157)

Mora, Teo

ISBN 10: 0521811554 / ISBN 13: 9780521811552

Published by Cambridge University Press, 2015

About this Item

Seller Inventory # ZBV.0521811554.LN

Bibliographic Details

• Title: Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving (Encyclopedia of Mathematics and its Applications, Series Number 157)
• Publisher: Cambridge University Press
• Publication Date: 2015
• Language: English
• ISBN 10: 0521811554
• ISBN 13: 9780521811552
• Binding: Hardcover
• Condition: like_new

About this title

Synopsis

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.

About the Author

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