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
Resource Information
The item Extremal polynomials and Riemann surfaces, Andrei Bogatyrev ; translated from Russian by Nikolai Kruzhilin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Extremal polynomials and Riemann surfaces, Andrei Bogatyrev ; translated from Russian by Nikolai Kruzhilin represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language

 eng
 rus
 eng
 Extent
 1 online resource (xxv, 150 pages).
 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
 Isbn
 9783642256349
 Label
 Extremal polynomials and Riemann surfaces
 Title
 Extremal polynomials and Riemann surfaces
 Statement of responsibility
 Andrei Bogatyrev ; translated from Russian by Nikolai Kruzhilin
 Subject

 Appl. Mathematics/Computational Methods of Engineering.
 Approximations and Expansions.
 Chebyshev polynomials
 Chebyshev polynomials
 Chebyshev polynomials
 Engineering mathematics.
 Functions of a Complex Variable.
 Functions of complex variables.
 Global Analysis and Analysis on Manifolds.
 Global analysis.
 MATHEMATICS  Calculus
 MATHEMATICS  Mathematical Analysis
 Mathematics
 Numerical analysis.
 Numerical and Computational Physics.
 Riemann surfaces
 Riemann surfaces
 Riemann surfaces
 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
 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
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 137143) 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
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 137143) 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
Subject
 Appl. Mathematics/Computational Methods of Engineering.
 Approximations and Expansions.
 Chebyshev polynomials
 Chebyshev polynomials
 Chebyshev polynomials
 Engineering mathematics.
 Functions of a Complex Variable.
 Functions of complex variables.
 Global Analysis and Analysis on Manifolds.
 Global analysis.
 MATHEMATICS  Calculus
 MATHEMATICS  Mathematical Analysis
 Mathematics
 Numerical analysis.
 Numerical and Computational Physics.
 Riemann surfaces
 Riemann surfaces
 Riemann surfaces
Member of
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