The Mathematica GuideBook for Symbolics

ISBN-13: 9781493979141 / Angielski / Miękka / 2019 / 1454 str.

Michael Trott

Opis

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

Recenzje

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 reference for scientists who use Mathematica in teaching or research." (Willy Hereman, SIAM Review, Vol. 49 (1), 2007)

Spis treści

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