Coverart for item
The Resource Extremal polynomials and Riemann surfaces, Andrei Bogatyrev ; translated from Russian by Nikolai Kruzhilin

Extremal polynomials and Riemann surfaces, Andrei Bogatyrev ; translated from Russian by Nikolai Kruzhilin

Label
Extremal polynomials and Riemann surfaces
Title
Extremal polynomials and Riemann surfaces
Statement of responsibility
Andrei Bogatyrev ; translated from Russian by Nikolai Kruzhilin
Creator
Subject
Language
  • eng
  • rus
  • eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Bogatyrëv, A. B.
Dewey number
515/.55
Index
index present
LC call number
QA404.5
LC item number
.B6413 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
Series statement
Springer monographs in mathematics,
http://library.link/vocab/subjectName
  • Chebyshev polynomials
  • Riemann surfaces
  • Mathematics
  • MATHEMATICS
  • MATHEMATICS
  • Chebyshev polynomials
  • Riemann surfaces
Label
Extremal polynomials and Riemann surfaces, Andrei Bogatyrev ; translated from Russian by Nikolai Kruzhilin
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 137-143) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Least Deviation Problems
  • Chebyshev Representation of Polynomials
  • Representations for the Moduli Space
  • Cell Decomposition of the Moduli Space
  • Abel's Equations
  • Computations in Moduli Spaces
  • The Problem of the Optimal Stability Polynomial
Control code
795710411
Dimensions
unknown
Extent
1 online resource (xxv, 150 pages).
File format
unknown
Form of item
online
Isbn
9783642256349
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)795710411
Label
Extremal polynomials and Riemann surfaces, Andrei Bogatyrev ; translated from Russian by Nikolai Kruzhilin
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 137-143) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Least Deviation Problems
  • Chebyshev Representation of Polynomials
  • Representations for the Moduli Space
  • Cell Decomposition of the Moduli Space
  • Abel's Equations
  • Computations in Moduli Spaces
  • The Problem of the Optimal Stability Polynomial
Control code
795710411
Dimensions
unknown
Extent
1 online resource (xxv, 150 pages).
File format
unknown
Form of item
online
Isbn
9783642256349
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)795710411

Library Locations

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      38.944491 -92.326012
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