Elimination Methods in Polynomial Computer Algebra by V. BykovElimination Methods in Polynomial Computer Algebra by V. Bykov

Elimination Methods in Polynomial Computer Algebra

byV. Bykov, A. Kytmanov, M. Lazman

Paperback | October 13, 2012

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The subject of this book is connected with a new direction in mathematics, which has been actively developed over the last few years, namely the field of polynomial computer algebra, which lies at the intersection point of algebra, mathematical analysis and programming. There were several incentives to write the book. First of all, there has lately been a considerable interest in applied nonlinear problems characterized by multiple sta­ tionary states. Practical needs have then in their turn led to the appearance of new theoretical results in the analysis of systems of nonlinear algebraic equations. And finally, the introduction of various computer packages for analytic manipulations has made it possible to use complicated elimination-theoretical algorithms in prac­ tical research. The structure of the book is accordingly represented by three main parts: Mathematical results driven to constructive algorithms, computer algebra realizations of these algorithms, and applications. Nonlinear systems of algebraic equations arise in diverse fields of science. In particular, for processes described by systems of differential equations with a poly­ nomial right hand side one is faced with the problem of determining the number (and location) of the stationary states in certain sets.
Title:Elimination Methods in Polynomial Computer AlgebraFormat:PaperbackDimensions:244 pagesPublished:October 13, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401062307

ISBN - 13:9789401062305


Table of Contents

Introduction. Prefaces. List of Symbols. 1. Basic Mathematical Facts. 2. A Modified Elimination Method. 3. Applications in Mathematical Kinetics. 4. Computer Realizations. List of Applications. Bibliography. Index.