The Mathematica GuideBook for Symbolics

Michael Trott (Autor)

Media-Kombination
1454 Seiten
2005
Springer-Verlag New York Inc.
978-0-387-95020-4 (ISBN)

Lese- und Medienproben

The Mathematica GuideBook for Symbolics - Michael Trott
160,49 inkl. MwSt
Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive easy-to-handle environment of great power and utility."The Mathematica GuideBook for Symbolics" (code and text fully tailored for Mathematica 5.1) deals with Mathematica's symbolic mathematical capabilities.
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-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive easy-to-handle environment of great power and utility.


"The Mathematica GuideBook for Symbolics" (code and text fully tailored for Mathematica 5.1) deals with Mathematica's symbolic mathematical capabilities. Structural and mathematical operations on single and systems of polynomials are fundamental to many symbolic calculations and they are covered in considerable detail. The solution of equations and differential equations, as well as the classical calculus operations (differentiation, integration, summation, series expansion, limits) are exhaustively treated. Generalized functions and their uses are discussed. In addition, this volume discusses and employs the classical orthogonal polynomials and special functions of mathematical physics. To demonstrate the symbolic mathematics power, a large variety of problems from mathematics and phyics are discussed.

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.

Zusatzinfo LV, 1454 p. With DVD. In 2 volumes, not available separately.
Verlagsort New York, NY
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Computerprogramme / Computeralgebra
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
ISBN-10 0-387-95020-6 / 0387950206
ISBN-13 978-0-387-95020-4 / 9780387950204
Zustand Neuware
Haben Sie eine Frage zum Produkt?