Extremal Polynomials and Riemann Surfaces (Springer Monographs in Mathematics) - Tapa blanda

Libro 92 de 184: Springer Monographs in Mathematics

Bogatyrev, Andrei

 
9783642443329: Extremal Polynomials and Riemann Surfaces (Springer Monographs in Mathematics)
Tapa blanda
ISBN 10: 364244332X ISBN 13: 9783642443329
Editorial: Springer, 2014

Sinopsis

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.​

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Acerca del autor

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

De la contraportada

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.?

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2014
Idioma
Inglés
ISBN 10 
364244332X
ISBN 13 
9783642443329
Encuadernación
Tapa blanda
Número de páginas
176
Contacto del fabricante
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Darmstadt
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Alemania

Otras ediciones populares con el mismo título

9783642256332: Extremal Polynomials and Riemann Surfaces (Springer Monographs in Mathematics)

Edición Destacada

ISBN 10:  3642256333 ISBN 13:  9783642256332
Editorial: Springer, 2012
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