000			03952nam a22004575i 4500
001			978-0-387-28815-4
003			DE-He213
005			20250710083942.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780387288154 _a99780387288154
024	7		_a10.1007/0-387-28815-5 _2doi
082	0	4	_a004 _223
100	1		_aTrott, Michael. _eauthor.
245	1	4	_aThe Mathematica GuideBook for Symbolics _h[recurso electrónico] / _cby Michael Trott.
264		1	_aNew York, NY : _bSpringer New York, _c2006.
300			_aXL, 1453 p. 848 illus. With DVD. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aIntroduction and Orientation -- I. Symbolic computations: Remarks -- Manipulation of polynomials -- Manipulations of rational functions of polynomials -- Manipulations of trigonometric expressions -- Systems of linear and nonlinear equations -- Classical analysis -- Differential equations -- Integral transforms and generalized functions -- Three applications -- Overview -- II Classical orthogonal polynomials: Remarks -- General properties of orthogonal polynomials -- Hermite polynomials -- Jacobi polynomials -- Gegenbauer polynomials -- Laguerre polynomials -- Legendre polynomials -- Chebyshev polynomials T -- Chebyshev polynomials U -- Relationships among the orthogonal polynomials -- Overview -- III Classical special functions: Remarks/Introduction -- Gamma, beta, and polygamma functions -- Error functions and Fresnel integrals -- Sine, cosine, exponential, and logarithmic integral functions -- Bessel and airy functions -- Legendre functions -- Hypergeometric functions -- Elliptic integrals -- Elliptic functions -- ProductLog function -- Mathieu functions -- Additional special functions -- Solution of quintics with hypergeometric functions -- Overview -- Index.
520			_aMathematica is today's most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive easy-to-handle environment of great power and utility. "The Mathematica GuideBook for Symbolics" (code and text fully tailored for Mathematica 5.1) deals with Mathematica's symbolic mathematical capabilities. Structural and mathematical operations on single and systems of polynomials are fundamental to many symbolic calculations and they are covered in considerable detail. The solution of equations and differential equations, as well as the classical calculus operations (differentiation, integration, summation, series expansion, limits) are exhaustively treated. Generalized functions and their uses are discussed. In addition, this volume discusses and employs the classical orthogonal polynomials and special functions of mathematical physics. To demonstrate the symbolic mathematics power, a large variety of problems from mathematics and phyics are discussed.
650		0	_aMATHEMATICS.
650		0	_aALGEBRA _xDATA PROCESSING.
650		0	_aALGORITHMS.
650		0	_aCOMPUTER SCIENCE.
650		0	_aCOMPUTER SOFTWARE.
650	1	4	_aMATHEMATICS.
650	2	4	_aMATHEMATICAL SOFTWARE.
650	2	4	_aSYMBOLIC AND ALGEBRAIC MANIPULATION.
650	2	4	_aCOMPUTATIONAL SCIENCE AND ENGINEERING.
650	2	4	_aALGORITHMS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387950204
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-28815-5 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56874 _d56874