Extremal Polynomials and Riemann Surfaces
The problems of conditional optimization of the uniform (or C-) norm for polynomials and rational functions arise in various branches of science and technology. Their numerical solution is notoriously difficult in case of high degree functions. The book develops the classical Chebyshev's approa...
Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edisyon: | 1st ed. 2012. |
| Seri Bilgileri: | Springer Monographs in Mathematics
|
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Extremal polynomials and Riemann surfaces, Andrei Bogatyrev, Berlin, Springer, 2012, 1 vol. (XXV-150 p.), Springer monographs in mathematics, 978-3-642-25633-2 • Extremal polynomials and Riemann surfaces, Andrei Bogatyrev, Berlin, Springer, 2012, 1 vol. (XXV-150 p.), Springer monographs in mathematics, 978-3-642-25633-2 • Extremal Polynomials and Riemann Surfaces, Texte imprimé, 9783642256356 • Extremal Polynomials and Riemann Surfaces, Texte imprimé, 9783642443329 |
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| 100 | 1 | |a Bogatyrev, Andrei, |d 19..- | |
| 245 | 1 | 0 | |a Extremal Polynomials and Riemann Surfaces |c by Andrei Bogatyrev. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 1 Least deviation problems 2 Chebyshev representation of polynomials 3 Representations for the moduli space 4 Cell decomposition of the moduli space 5 Abel s equations 6 Computations in moduli spaces 7 The problem of the optimal stability polynomial Conclusion References | |
| 505 | 0 | |a 1 Least deviation problems -- 2 Chebyshev representation of polynomials -- 3 Representations for the moduli space -- 4 Cell decomposition of the moduli space -- 5 Abel s equations -- 6 Computations in moduli spaces -- 7 The problem of the optimal stability polynomial -- Conclusion -- References | |
| 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. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The problems of conditional optimization of the uniform (or C-) norm for polynomials and rational functions arise in various branches of science and technology. Their numerical solution is notoriously difficult in case of high degree functions. The book develops the classical Chebyshev's approach which gives analytical representation for the solution in terms of Riemann surfaces. The techniques born in the remote (at the first glance) branches of mathematics such as complex analysis, Riemann surfaces and Teichmüller theory, foliations, braids, topology are applied to approximation problems. The key feature of this book is the usage of beautiful ideas of contemporary mathematics for the solution of applied problems and their effective numerical realization. This is one of the few books where the computational aspects of the higher genus Riemann surfaces are illuminated. Effective work with the moduli spaces of algebraic curves provides wide opportunities for numerical experiments in mathematics and theoretical physics. | ||
| 650 | |a Polynômes | ||
| 650 | |a Polynômes de Tchebychev | ||
| 650 | |a Théorie des modules | ||
| 650 | |a Surfaces de Riemann | ||
| 776 | 0 | |0 162403488 |t Extremal polynomials and Riemann surfaces |f Andrei Bogatyrev |c Berlin |n Springer |d 2012 |p 1 vol. (XXV-150 p.) |s Springer monographs in mathematics |z 978-3-642-25633-2 | |
| 776 | 0 | |0 162403488 |t Extremal polynomials and Riemann surfaces |f Andrei Bogatyrev |c Berlin |n Springer |d 2012 |p 1 vol. (XXV-150 p.) |s Springer monographs in mathematics |z 978-3-642-25633-2 | |
| 776 | 0 | |t Extremal Polynomials and Riemann Surfaces |b Texte imprimé |z 9783642256356 | |
| 776 | 0 | |t Extremal Polynomials and Riemann Surfaces |b Texte imprimé |z 9783642443329 | |
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