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The Mathematica GuideBook for Symbolics
Mathematica 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-fri...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2006.
|
| Edición: | 1st ed. 2006. |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Introduction 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.