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Titlebook: Elimination Methods in Polynomial Computer Algebra; Valery Bykov,Alexander Kytmanov,Mark Lazman,Mikael Book 1998 Springer Science+Business

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书目名称Elimination Methods in Polynomial Computer Algebra
编辑Valery Bykov,Alexander Kytmanov,Mark Lazman,Mikael
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Elimination Methods in Polynomial Computer Algebra;  Valery Bykov,Alexander Kytmanov,Mark Lazman,Mikael Book 1998 Springer Science+Business
描述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 t
出版日期Book 1998
关键词Maple; Mathematica; algebra; algorithms; computer; computer algebra; linear algebra
版次1
doihttps://doi.org/10.1007/978-94-011-5302-7
isbn_softcover978-94-010-6230-5
isbn_ebook978-94-011-5302-7
copyrightSpringer Science+Business Media Dordrecht 1998
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Informationsgrundlagen des Marketing,Over the last three decades a new part of computational mathematics has been formed. It is called computer algebra. By definition [.] this is the part of computer science which deals with development, analysis, realization and applications of algebraic algorithms. Computer algebra has the following special features:
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A Modified Elimination Method,In Sec. 4 we have seen that the transformation law for local residues allows one to explicitly calculate them. Often however, more complicated integrals appear. Therefore we need a transformation formula also for such integrals (see [.]).
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https://doi.org/10.1007/978-3-8349-3855-8e equations of chemical kinetics, and these are nonlinear as a rule. In the simplest but commonly encountered case their right hand sides are algebraic functions, which are formed according to the mechanism of a chemical reaction. Recently, the interest in the nonlinear problems of mathematical kine
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