000			03333nam a22005415i 4500
003			DE-He213
005			20191014015757.0
007			cr nn 008mamaa
008			120530s2012 gw | s |||| 0|eng d
020	6	4	_a9783642256349 _9978-3-642-25634-9
024	8	7	_a10.1007/978-3-642-25634-9 _2doi
050	8	4	_aQA331-355
072	8	7	_aPBKD _2bicssc
072	8	7	_aMAT034000 _2bisacsh
082			_a515.9 _223
100	8	1	_aBogatyrev, Andrei. _eauthor. _9187363
245	9	7	_aExtremal Polynomials and Riemann Surfaces _h[electronic resource] / _cby Andrei Bogatyrev.
001			000071313
300	6	4	_aXXVI, 150 p. _bonline resource.
490	8	1	_aSpringer Monographs in Mathematics, _x1439-7382
505	8	0	_a1 Least deviation problems -- 2 Chebyshev representation of polynomials -- 3 Representations for the moduli space -- 4 Cell decomposition of the moduli space -- 5 Abels equations -- 6 Computations in moduli spaces -- 7 The problem of the optimal stability polynomial -- Conclusion -- References.
520	6	4	_aThe 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 Teichmȭller 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.
650	8	0	_aMathematics. _98571
650	8	0	_aFunctions of complex variables. _911422
650	8	0	_aGlobal analysis. _917903
650	8	0	_aNumerical analysis. _9187364
650	8	0	_aEngineering mathematics. _99629
650			_aMathematics. _98571
650			_aFunctions of a Complex Variable. _911424
650			_aApproximations and Expansions. _912004
650			_aNumerical Analysis. _9187365
650			_aGlobal Analysis and Analysis on Manifolds. _917904
650			_aNumerical and Computational Physics. _9187366
650			_aAppl.Mathematics/Computational Methods of Engineering. _99631
710	8	2	_aSpringerLink (Online service) _9187367
773	8	0	_tSpringer eBooks
776			_iPrinted edition: _z9783642256332
830	8	0	_aSpringer Monographs in Mathematics, _x1439-7382 _9187368
856			_uhttp://dx.doi.org/10.1007/978-3-642-25634-9 _zde clik aquí para ver el libro electrónico
264	8	1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2012.
336	6	4	_atext _btxt _2rdacontent
337	6	4	_acomputer _bc _2rdamedia
338	6	4	_aonline resource _bcr _2rdacarrier
347	6	4	_atext file _bPDF _2rda
516	6	4	_aZDB-2-SMA
999			_c71043 _d71043
942			_c05