Solving polynomial equation systems, Volume 3, Algebraic solving:
This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni–Kalk...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2015
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 157 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni–Kalkbrener Theorem, Stetter Algorithm, Cardinal–Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bézout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xviii, 275 pages) |
| ISBN: | 9781139015998 |
| DOI: | 10.1017/CBO9781139015998 |
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| id | DE-604.BV043940302 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781139015998 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349272 |
| oclc_num | 967600113 |
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| physical | 1 online resource (xviii, 275 pages) |
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| publishDate | 2015 |
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| publisher | Cambridge University Press |
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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Mora, Teo Verfasser aut Solving polynomial equation systems, Volume 3, Algebraic solving Teo Mora Cambridge Cambridge University Press 2015 1 online resource (xviii, 275 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 157 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni–Kalkbrener Theorem, Stetter Algorithm, Cardinal–Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bézout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers Equations / Numerical solutions Polynomials Iterative methods (Mathematics) Erscheint auch als Druckausgabe 978-0-521-81155-2 https://doi.org/10.1017/CBO9781139015998 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Mora, Teo Solving polynomial equation systems, Volume 3, Algebraic solving Equations / Numerical solutions Polynomials Iterative methods (Mathematics) |
| title | Solving polynomial equation systems, Volume 3, Algebraic solving |
| title_auth | Solving polynomial equation systems, Volume 3, Algebraic solving |
| title_exact_search | Solving polynomial equation systems, Volume 3, Algebraic solving |
| title_full | Solving polynomial equation systems, Volume 3, Algebraic solving Teo Mora |
| title_fullStr | Solving polynomial equation systems, Volume 3, Algebraic solving Teo Mora |
| title_full_unstemmed | Solving polynomial equation systems, Volume 3, Algebraic solving Teo Mora |
| title_short | Solving polynomial equation systems, Volume 3, Algebraic solving |
| title_sort | solving polynomial equation systems volume 3 algebraic solving |
| topic | Equations / Numerical solutions Polynomials Iterative methods (Mathematics) |
| topic_facet | Equations / Numerical solutions Polynomials Iterative methods (Mathematics) |
| url | https://doi.org/10.1017/CBO9781139015998 |
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