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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Extremal Polynomials and Riemann Surfaces (Paperback, 2012 ed.)
Loot Price: R1,519
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Extremal Polynomials and Riemann Surfaces (Paperback, 2012 ed.)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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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
Teichmuller 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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