The Mathematica Guidebook for Symbolics [With Dvdrom] (Hardcover)

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