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Record Nr. |
UNINA9910146313803321 |
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Autore |
Gatermann Karin |
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Titolo |
Computer Algebra Methods for Equivariant Dynamical Systems / / by Karin Gatermann |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 |
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ISBN |
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Edizione |
[1st ed. 2000.] |
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Descrizione fisica |
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1 online resource (XVIII, 162 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1728 |
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Disciplina |
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Soggetti |
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Algebra |
Computer science—Mathematics |
Computer mathematics |
Mathematical analysis |
Analysis (Mathematics) |
Global analysis (Mathematics) |
Manifolds (Mathematics) |
Mathematics of Computing |
Computational Science and Engineering |
Math Applications in Computer Science |
Analysis |
Global Analysis and Analysis on Manifolds |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (pages [139]-149) and index. |
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Nota di contenuto |
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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 -- |
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