From the reviews:"The book is filled with Mathematica programming gems and is particularly valuable for researchers using special functions in their work because of extensive coverage of these topics. … Every chapter has numerous exercises with full solutions. Every computer science, mathematics, physics, engineering library should have this … on its shelves, because this is the best source of the applications of Mathematica to numerous computational tasks." (Matti Vuorinen, Zentralblatt MATH, Vol. 1095 (21), 2006)"This guidebook has three chapters. … I enjoyed reading the symbolics Guidebook. … take the reader on a thrilling tour of the features of Mathematica. I am impressed with the breadth and depth of Trott’s coverage and his profound understanding of the strengths and limitations of Mathematica. … includes a multiplatform DVD-ROM which allows the reader to experiment with code and view graphics in color. … an invaluable resource and classic referencefor scientists who use Mathematica in teaching or research." (Willy Hereman, SIAM Review, Vol. 49 (1), 2007)

• 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.

From the reviews:"The book is filled with Mathematica programming gems and is particularly valuable for researchers using special functions in their work because of extensive coverage of these topics. … Every chapter has numerous exercises with full solutions. Every computer science, mathematics, physics, engineering library should have this … on its shelves, because this is the best source of the applications of Mathematica to numerous computational tasks." (Matti Vuorinen, Zentralblatt MATH, Vol. 1095 (21), 2006)"This guidebook has three chapters. … I enjoyed reading the symbolics Guidebook. … take the reader on a thrilling tour of the features of Mathematica. I am impressed with the breadth and depth of Trott’s coverage and his profound understanding of the strengths and limitations of Mathematica. … includes a multiplatform DVD-ROM which allows the reader to experiment with code and view graphics in color. … an invaluable resource and classic referencefor scientists who use Mathematica in teaching or research." (Willy Hereman, SIAM Review, Vol. 49 (1), 2007)

• 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.

From the reviews:"The book is filled with Mathematica programming gems and is particularly valuable for researchers using special functions in their work because of extensive coverage of these topics. … Every chapter has numerous exercises with full solutions. Every computer science, mathematics, physics, engineering library should have this … on its shelves, because this is the best source of the applications of Mathematica to numerous computational tasks." (Matti Vuorinen, Zentralblatt MATH, Vol. 1095 (21), 2006)"This guidebook has three chapters. … I enjoyed reading the symbolics Guidebook. … take the reader on a thrilling tour of the features of Mathematica. I am impressed with the breadth and depth of Trott’s coverage and his profound understanding of the strengths and limitations of Mathematica. … includes a multiplatform DVD-ROM which allows the reader to experiment with code and view graphics in color. … an invaluable resource and classic referencefor scientists who use Mathematica in teaching or research." (Willy Hereman, SIAM Review, Vol. 49 (1), 2007)

• 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.