Overview
- Authors:
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Valery Bykov
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Computer Center, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
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Alexander Kytmanov
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Krasnoyarsk State University, Krasnoyarsk, Russia
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Mark Lazman
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Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
- Editors:
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Mikael Passare
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Department of Mathematics, Stockholm University, Stockholm, Sweden
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About this book
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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Table of contents (4 chapters)
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- Valery Bykov, Alexander Kytmanov, Mark Lazman
Pages 1-30
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- Valery Bykov, Alexander Kytmanov, Mark Lazman
Pages 31-98
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- Valery Bykov, Alexander Kytmanov, Mark Lazman
Pages 99-171
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- Valery Bykov, Alexander Kytmanov, Mark Lazman
Pages 173-224
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Back Matter
Pages 225-244
Authors, Editors and Affiliations
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Department of Mathematics, Stockholm University, Stockholm, Sweden
Mikael Passare
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Computer Center, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
Valery Bykov
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Krasnoyarsk State University, Krasnoyarsk, Russia
Alexander Kytmanov
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Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
Mark Lazman