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Elimination Methods in Polynomial Computer Algebra (Paperback, Softcover reprint of the original 1st ed. 1998)
Loot Price: R1,550
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Elimination Methods in Polynomial Computer Algebra (Paperback, Softcover reprint of the original 1st ed. 1998)
Series: Mathematics and Its Applications, 448
Expected to ship within 10 - 15 working days
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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."
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