000			03567nam a22004935i 4500
001			978-0-8176-4703-2
003			DE-He213
005			20251006084438.0
007			cr nn 008mamaa
008			100608s2008 xxu| s |||| 0|eng d
020			_a9780817647032
020			_a99780817647032
024	7		_a10.1007/978-0-8176-4703-2 _2doi
082	0	4	_a511.4 _223
100	1		_aGal, Sorin G. _eauthor.
245	1	0	_aShape-Preserving Approximation by Real and Complex Polynomials _h[electronic resource] / _cby Sorin G. Gal.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2008.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aShape-Preserving Approximation By Real Univariate Polynomials -- Shape-Preserving Approximation by Real Multivariate Polynomials -- Shape-Preserving Approximation by Complex Univariate Polynomials -- Shape-Preserving Approximation by Complex Multivariate Polynomials -- Appendix : Some Related Topics.
520			_aThis monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Such approximation methods are useful in many problems that arise in science and engineering and require an optimal mathematical representation of physical reality. The main topics are structured in four chapters, followed by an appendix: shape-preserving approximation and interpolation of real functions of one real variable by real polynomials; shape-preserving approximation of real functions of several real variables by multivariate real polynomials; shape-preserving approximation of analytic functions of one complex variable by complex polynomials in the unit disk; and shape-preserving approximation of analytic functions of several complex variables on the unit ball or the unit polydisk by polynomials of several complex variables. The appendix treats related results of non-polynomial and non-spline approximations preserving shape including those by complexified operators with applications to complex partial differential equations. Shape-Preserving Approximation by Real and Complex Polynomials contains many open problems at the end of each chapter to stimulate future research along with a rich and updated bibliography surveying the vast literature. The text will be useful to graduate students and researchers interested in approximation theory, mathematical analysis, numerical analysis, computer aided geometric design, robotics, data fitting, chemistry, fluid mechanics, and engineering.
650		0	_aMATHEMATICS.
650		0	_aCOMPUTER SCIENCE.
650		0	_aFUNCTIONS OF COMPLEX VARIABLES.
650		0	_aCOMPUTER SCIENCE _xMATHEMATICS.
650		0	_aENGINEERING MATHEMATICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aAPPROXIMATIONS AND EXPANSIONS.
650	2	4	_aREAL FUNCTIONS.
650	2	4	_aFUNCTIONS OF A COMPLEX VARIABLE.
650	2	4	_aCOMPUTATIONAL MATHEMATICS AND NUMERICAL ANALYSIS.
650	2	4	_aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
650	2	4	_aMATH APPLICATIONS IN COMPUTER SCIENCE.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817647025
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4703-2 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59764 _d59764