Trott The Mathematica GuideBook for Symbolics

2006
ISBN: 978-0-387-28815-4
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 1454 Seiten, eBook

Provides reader with working knowledge of Mathematica and key aspects of Mathematica symbolic capabilities, the real heart of Mathematica and the ingredient of the Mathematica software system that makes it so unique and powerful

Clear organization, complete topic coverage, and an accessible writing style for both novices and experts

Website for book with additional materials: http://www/MathematicaGuideBooks.org

Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations

Zielgruppe

Research

Autoren/Hrsg.

Trott, Michael

Inhaltsverzeichnis

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