| 书目名称 | Extremal Polynomials and Riemann Surfaces |
| 编辑 | Andrei Bogatyrev |
| 视频video | |
| 概述 | Includes numerous problems and exercises which provide a deep insight in the subject and allow to conduct independent research in this topic.Contains many pictures which visualize involved theory.Desc |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2012 |
| 关键词 | Pell-Abel equation; Riemann surface; Schottky model; extremal polynomials; least deviation problems |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-25634-9 |
| isbn_softcover | 978-3-642-44332-9 |
| isbn_ebook | 978-3-642-25634-9Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag Berlin Heidelberg 2012 |
发表于 2025-3-21 16:41:34
