๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Elimination methods in polynomial algebra

โœ Scribed by V. Bykov, A. Kytmanov, M. Lazman, Mikael Passare

Book ID
127421136
Publisher
Springer
Year
1998
Tongue
English
Weight
1 MB
Series
Mathematics and Its Applications
Edition
1
Category
Library
ISBN
0792352408

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โœฆ Synopsis

This book presents a modified method, based on multidimensional residue theory, for the elimination of unknowns from a system of nonlinear algebraic equations. An algorithm is given for constructing the resultant of the system, and a computer implementation making use of formula manipulation software is carried out. Programmes in MAPLE are available. The algorithms and programmes are then applied to questions from the theory of chemical kinetics, such as the search for all stationary solutions of kinetic equations and the construction of kinetic polynomials. The subject of this book is closely connected with a wide range of current problems in the analysis of nonlinear systems. Audience: This volume will be of interest to graduate students and researchers whose work involves multidimensional theory of residues, mathematical kinetics, computer algebra, and symbolic computation.

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Let k be a field of characteristic 0. Based on the Gelfand-Kirillov dimension computation of modules over solvable polynomial k-algebras, where solvable polynomial algebras are in the sense of A.