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Computer Algebra Methods for Equivariant Dynamical Systems - Karin Gatermann
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Karin Gatermann:

Computer Algebra Methods for Equivariant Dynamical Systems - neues Buch

2000, ISBN: 9783540671619

ID: 692033375

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. TOC: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. Computer Algebra Methods for Equivariant Dynamical Systems Bücher > Fremdsprachige Bücher > Englische Bücher Taschenbuch 27.03.2000, Springer, .200

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Computer Algebra Methods for Equivariant Dynamical Systems - Karin Gatermann
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Karin Gatermann:

Computer Algebra Methods for Equivariant Dynamical Systems - neues Buch

ISBN: 9783540671619

ID: c177f958d977832b3807867a985a94b1

Computer Algebra Methods for Equivariant Dynamical Systems 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. TOC: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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-3-540-67161-9, Springer

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Computer Algebra Methods for Equivariant Dynamical Systems - Karin Gatermann
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Karin Gatermann:
Computer Algebra Methods for Equivariant Dynamical Systems - neues Buch

ISBN: 9783540671619

ID: 105379724

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. TOC: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. Computer Algebra Methods for Equivariant Dynamical Systems Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Computer Algebra Methods For Equivariant Dynamical Systems - Karin Gatermann
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Karin Gatermann:
Computer Algebra Methods For Equivariant Dynamical Systems - neues Buch

ISBN: 9783540671619

ID: 978354067161

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. Karin Gatermann, Books, Computers, Computer Algebra Methods For Equivariant Dynamical Systems Books>Computers, Springer Berlin Heidelberg

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Computer Algebra Methods for Equivariant Dynamical Systems - Karin Gatermann
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Karin Gatermann:
Computer Algebra Methods for Equivariant Dynamical Systems - neues Buch

ISBN: 9783540671619

ID: 9783540671619

Mathematics; Algebra; Mathematics of Computing; Computational Science and Engineering; Math Applications in Computer Science; Analysis; Global Analysis and Analysis on Manifolds Gröbner bases, algebra, algorithms, computer, computer algebra, dynamical systems, invariant theory, symmetry Books Book, Springer Science+Business Media

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Details zum Buch
Computer Algebra Methods for Equivariant Dynamical Systems
Autor:

Gatermann, Karin

Titel:

Computer Algebra Methods for Equivariant Dynamical Systems

ISBN-Nummer:

3540671617

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.

Detailangaben zum Buch - Computer Algebra Methods for Equivariant Dynamical Systems


EAN (ISBN-13): 9783540671619
ISBN (ISBN-10): 3540671617
Taschenbuch
Erscheinungsjahr: 2007
Herausgeber: Springer-Verlag GmbH
180 Seiten
Gewicht: 0,273 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 26.05.2007 12:18:51
Buch zuletzt gefunden am 26.11.2016 22:03:06
ISBN/EAN: 3540671617

ISBN - alternative Schreibweisen:
3-540-67161-7, 978-3-540-67161-9

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