000 | 03674nam a22005535i 4500 | ||
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001 | 978-3-540-46519-5 | ||
003 | DE-He213 | ||
005 | 20190213151132.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2000 gw | s |||| 0|eng d | ||
020 |
_a9783540465195 _9978-3-540-46519-5 |
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024 | 7 |
_a10.1007/BFb0104059 _2doi |
|
050 | 4 | _aQA150-272 | |
072 | 7 |
_aPBF _2bicssc |
|
072 | 7 |
_aMAT002000 _2bisacsh |
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072 | 7 |
_aPBF _2thema |
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082 | 0 | 4 |
_a512 _223 |
245 | 1 | 0 |
_aComputer Algebra Methods for Equivariant Dynamical Systems _h[electronic resource] / _cedited by Karin Gatermann. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2000. |
|
300 |
_aXVIII, 162 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1728 |
|
505 | 0 | _aGröbner 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. | |
520 | _aThis 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. | ||
650 | 0 | _aAlgebra. | |
650 | 0 | _aComputer science. | |
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aGlobal analysis. | |
650 | 1 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
650 | 2 | 4 |
_aMathematics of Computing. _0http://scigraph.springernature.com/things/product-market-codes/I17001 |
650 | 2 | 4 |
_aComputational Science and Engineering. _0http://scigraph.springernature.com/things/product-market-codes/M14026 |
650 | 2 | 4 |
_aMath Applications in Computer Science. _0http://scigraph.springernature.com/things/product-market-codes/I17044 |
650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aGlobal Analysis and Analysis on Manifolds. _0http://scigraph.springernature.com/things/product-market-codes/M12082 |
700 | 1 |
_aGatermann, Karin. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662199626 |
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_iPrinted edition: _z9783540671619 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1728 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0104059 |
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999 |
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