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Computer Algebra Methods for Equivariant Dynamical Systems (Lecture Notes in Mathematics, 1728) 🔍
Karin Gatermann Springer Berlin Heidelberg : Imprint: Springer, Lecture Notes in Mathematics, 1728, 1st ed. 2000, Berlin, Heidelberg, 2000
English [en] · PDF · 11.5MB · 2000 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/upload · Save
description
This Book Starts With An Overview Of The Research Of Gröbner Bases Which Have Many Applications In Various Areas Of Mathematics Since They Are A General Tool For The Investigation Of Polynomial Systems. The Next Chapter Describes Algorithms In Invariant Theory Including Many Examples And Time Tables. These Techniques Are Applied In The Chapters On Symmetric Bifurcation Theory And Equivariant Dynamics. This Combination Of Different Areas Of Mathematics Will Be Interesting To Researchers In Computational Algebra And/or Dynamics. Gröbner Bases: Buchberger's Algorithm -- The Consequence Of Grading -- Definitions And The Relation To Gröbner Bases -- Computation Of A Hilbert Series -- The Hilbert Series Driven Buchberger Algorithm -- The Computation With Algebraic Extensions -- Detection Of Gröbner Bases -- Dynamic Buchberger Algorithm -- Elimination -- Algorithms Of The Computation Of Invariants And Equivariants: Using The Hilbert Series -- Invariants -- Equivariants -- Using The Nullcone -- Using A Homogeneous System Of Parameters -- Computing Uniqueness -- Symmetric Bifurcation Theory -- Local Bifurcation Analysis -- An Example Of Secondary Hopf Bifurcation -- Orbit Space Reduction -- Exact Computation Of Steady States -- Differential Equations On The Orbit Space -- Using Noether Normalization -- Further Reading -- References -- Index. Karin Gatermann. Includes Bibliographical References (p.[139]-149) And Index.
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nexusstc/Computer Algebra Methods for Equivariant Dynamical Systems (Lecture Notes in Mathematics, 1728)/e4fd42bd3539c83b83ca8eeab70e3dcb.pdf
Alternative filename
lgli/___3540671617.pdf
Alternative filename
lgrsnf/___3540671617.pdf
Alternative author
Gatermann, Karin
Alternative publisher
Springer Spektrum. in Springer-Verlag GmbH
Alternative publisher
Steinkopff. in Springer-Verlag GmbH
Alternative edition
Lecture notes in mathematics (Springer-Verlag), 1728, Berlin, ©2000
Alternative edition
Lecture notes in mathematics (Springer), 1728, New York, 2000
Alternative edition
Springer Nature, Berlin, Heidelberg, 2007
Alternative edition
1 edition, April 26, 2000
Alternative edition
Germany, Germany
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SoftArchive
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{"isbns":["3540671617","9783540671619"],"last_page":180,"publisher":"Springer"}
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Lecture Notes in Mathematics
Alternative description
This book starts with an overview of the research of Groebner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems.The next chapter describes algorithms in invariant theory including many examples and time tables.
Alternative description
Lecture Notes in Mathematics
Erscheinungsdatum: 27.03.2000
date open sourced
2023-11-08
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