Solving Polynomial Equations : Foundations, Algorithms, and Applications
The subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations. This study is at the heart of several areas of mathematics and its applications. It has provided the - tivation for advances in di?erent branches of mathematics such as a...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
|---|---|
| অন্যান্য লেখক: | |
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2005.
Cham : Springer Nature |
| মালা: | Algorithms and Computation in Mathematics
14 |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Solving Polynomial Equations, Texte imprimé, 9783540806882 • Solving Polynomial Equations, Texte imprimé, 9783642063619 • Solving Polynomial Equations, Texte imprimé, 9783540243267 |
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| 008 | 080409s2005 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN123091209 | ||
| 020 | |a 9783540273578 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512 | ||
| 084 | |a 14Qxx. 2000 | ||
| 084 | |a 68W30. 2000 | ||
| 084 | |a 13Pxx. 2000 | ||
| 100 | 1 | |a Dickenstein, Alicia, |d 1955- | |
| 245 | 1 | 0 | |a Solving Polynomial Equations : |b Foundations, Algorithms, and Applications |c edited by Alicia Dickenstein, Ioannis Z. Emiris. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c 2005. | ||
| 490 | 1 | |a Algorithms and Computation in Mathematics |v 14 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a to residues and resultants -- Solving equations via algebras -- Symbolic-numeric methods for solving polynomial equations and applications -- An algebraist s view on border bases -- Tools for computing primary decompositions and applications to ideals associated to Bayesian networks -- Algorithms and their complexities -- Toric resultants and applications to geometric modelling -- to numerical algebraic geometry -- Four lectures on polynomial absolute factorization. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations. This study is at the heart of several areas of mathematics and its applications. It has provided the - tivation for advances in di?erent branches of mathematics such as algebra, geometry, topology, and numerical analysis. In recent years, an explosive - velopment of algorithms and software has made it possible to solve many problems which had been intractable up to then and greatly expanded the areas of applications to include robotics, machine vision, signal processing, structural molecular biology, computer-aided design and geometric modelling, as well as certain areas of statistics, optimization and game theory, and b- logical networks. At the same time, symbolic computation has proved to be an invaluable tool for experimentation and conjecture in pure mathematics. As a consequence, the interest in e?ective algebraic geometry and computer algebrahasextendedwellbeyonditsoriginalconstituencyofpureandapplied mathematicians and computer scientists, to encompass many other scientists and engineers. While the core of the subject remains algebraic geometry, it also calls upon many other aspects of mathematics and theoretical computer science, ranging from numerical methods, di?erential equations and number theory to discrete geometry, combinatorics and complexity theory. Thegoalofthisbookistoprovideageneralintroduction tomodernma- ematical aspects in computing with multivariate polynomials and in solving algebraic systems. | ||
| 650 | |a Équations |x Solutions numériques | ||
| 650 | |a Polynômes | ||
| 700 | 1 | |a Emiris, Ioannis Z. |4 edt | |
| 776 | 0 | |t Solving Polynomial Equations |b Texte imprimé |z 9783540806882 | |
| 776 | 0 | |t Solving Polynomial Equations |b Texte imprimé |z 9783642063619 | |
| 776 | 0 | |t Solving Polynomial Equations |b Texte imprimé |z 9783540243267 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-0DX68XGJ-G |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:748043071 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/b138957 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:751494208 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/b138957 |z Accès INSA CVL | |
| 997 | |0 948317 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||