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

Book 159 of 188: Encyclopedia of Mathematics and its Applications

Mora, Teo

 
9780521811552: Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving (Encyclopedia of Mathematics and its Applications, Series Number 157)
Hardcover
ISBN 10: 0521811554 ISBN 13: 9780521811552
Publisher: Cambridge University Press, 2015

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.

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About the Author

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

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2015
Language
English
ISBN 10 
0521811554
ISBN 13 
9780521811552
Binding
Hardcover
Edition number
1
Number of pages
294