Produktbild: Extremal Polynomials and Riemann Surfaces

Extremal Polynomials and Riemann Surfaces

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Springer Monographs in Mathematics

ISBN: 364244332X
ISBN 13: 9783642443329
Autor: Bogatyrev, Andrei
Verlag: Springer Verlag GmbH
Umfang: xxvi, 150 S.
Erscheinungsdatum: 11.06.2014
Auflage: 1/2014
Produktform: Kartoniert
Einband: Kartoniert

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.

Artikelnummer: 6905338 Kategorie:

Beschreibung

Autorenporträt

The author is working in the field of complex analysis, Riemann surfaces and moduli, optimization of numerical algorithms, mathematical physics. He was awarded the S.Kowalewski Prize in 2009 by the Russian Academy of Sciences

Herstellerkennzeichnung:


Springer Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

E-Mail: juergen.hartmann@springer.com

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