Mathematica 符号导论手册（真PDF）

English | PDF | 2006 | 1060 Pages | ISBN : 0387950206 | 172.66 MB

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.

Mathematica 是当今最先进的一体化技术计算系统。它具备丰富的编程环境、二维和三维图形能力，以及采用最新算法的数百种高级且强大的编程与数学函数。结合用户友好的界面和完整的数学排版系统，Mathematica 提供了一个功能强大且实用的工作环境。 《Mathematica 符号计算指南》（针对 Mathematica 5.1 定制代码和文本）全面介绍了 Mathemaatica 的符号数学能力。该指南深入讨论了单项式和多项式系统之间的结构和数学操作，这是许多符号计算中的基础部分。它还详细讨论了解方程和微分方程、经典微积分运算（求导、积分、求和、级数展开、极限）以及广义函数及其应用等内容。此外，该指南还探讨了数学物理中常用的正交多项式和特殊函数。为了展示符号数学的强大功能，该指南讨论了许多来自数学和物理学中的问题。

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