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Mathematics and Its Applications

Elimination Methods in Polynomial Computer Algebra

Authors: Bykov, V., Kytmanov, A., Lazman, M., Passare, M.

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  • ISBN 978-94-011-5302-7
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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.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-94-011-5302-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.99
price for USA in USD
  • ISBN 978-94-010-6230-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Elimination Methods in Polynomial Computer Algebra
Authors
Series Title
Mathematics and Its Applications
Series Volume
448
Copyright
1998
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-5302-7
DOI
10.1007/978-94-011-5302-7
Softcover ISBN
978-94-010-6230-5
Edition Number
1
Number of Pages
XI, 244
Additional Information
Originally published in Russian
Topics