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...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
New York, NY :
Springer New York
2006.
Cham : Springer Nature |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Mathematica GuideBook for Symbolics, Texte imprimé, 9780387950204 • The Mathematica GuideBook for Symbolics, Texte imprimé, 9780387521954 • The Mathematica GuideBook for Symbolics, Texte imprimé, 9781493979141 |
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.