Extremal Polynomials and Riemann Surfaces

Nonfiction, Science & Nature, Mathematics, Number Systems, Mathematical Analysis
Cover of the book Extremal Polynomials and Riemann Surfaces by Andrei Bogatyrev, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Andrei Bogatyrev ISBN: 9783642256349
Publisher: Springer Berlin Heidelberg Publication: May 31, 2012
Imprint: Springer Language: English
Author: Andrei Bogatyrev
ISBN: 9783642256349
Publisher: Springer Berlin Heidelberg
Publication: May 31, 2012
Imprint: Springer
Language: English

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.​

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.​

More books from Springer Berlin Heidelberg

Cover of the book Advanced Psychosomatic Research in Obstetrics and Gynecology by Andrei Bogatyrev
Cover of the book Remote Sensing in Hydrology and Water Management by Andrei Bogatyrev
Cover of the book Molecular Biology and Pathogenesis of Peste des Petits Ruminants Virus by Andrei Bogatyrev
Cover of the book Front Tracking for Hyperbolic Conservation Laws by Andrei Bogatyrev
Cover of the book Evaluation and Decision Models with Multiple Criteria by Andrei Bogatyrev
Cover of the book Advances in Ergonomic Design of Systems, Products and Processes by Andrei Bogatyrev
Cover of the book Optical Coatings by Andrei Bogatyrev
Cover of the book The Formation of Hydrocarbon Deposits in the North African Basins by Andrei Bogatyrev
Cover of the book Radiology of The Sella Turcica by Andrei Bogatyrev
Cover of the book Cold Rolling Precision Forming of Shaft Parts by Andrei Bogatyrev
Cover of the book Nomadic Desert Birds by Andrei Bogatyrev
Cover of the book Mathematik für Ingenieure: Verstehen – Rechnen – Anwenden by Andrei Bogatyrev
Cover of the book Einführung in das betriebliche Rechnungswesen by Andrei Bogatyrev
Cover of the book Color Atlas of Pediatric Anatomy, Laparoscopy, and Thoracoscopy by Andrei Bogatyrev
Cover of the book EU Eastern Neighborhood by Andrei Bogatyrev
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy