王同学的分享（三）：Mathematica软件介绍-mathematica软件介绍

 

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1什么是Mathematica

Mathematica是美国workfranRearch公司开发的数学软件，Mathematica是世界上通用计算系统中最强大的系统。很好地结合了数值和符号计算引擎、图形系统、编程语言、文本系统、和与其他应用程序的高级连接。它可用于解决各领域所涉及的复杂的符号运算和数值计算的问题。另外它能完成计算器上能做的任何工作，能做中小学数学的计算题目，能做高等数学中的大部分题目，能根据所给数据或曲线，用一条命令就能给出函数的图形。Mathematica的发布标志着现代科技计算的开始。

Mathematica is a mathematical software developed by the American workfranRearch company. Mathematica is the most powerful system in the general computing system in the world. A good combination of numerical and symbolic computing engines, graphics systems, programming languages, text systems, and advanced connections to other applications. It can be used to solve complex symbolic and numerical computing problems involved in various fields. In addition, it can do any work that can be done on the calculator, can do the calculation problems of primary and secondary school mathematics, can do most of the problems in advanced mathematics, and can give the graph of the function with one command according to the given data or curve. . The release of Mathematica marked the beginning of modern technological computing.

2MAthematica主要功能

01做函数的图像

用做图程序，当输入被做函数时，计算机直接做出该函数的图像。

Used as a graph program, when the input is made as a function, the computer directly makes a graph of the function.

02数值计算

可简单地计算函数值，积分值等，可求微分方程的数值解等。

Function values, integral values, etc. can be easily calculated, and numerical solutions of differential equations can be obtained, etc.

03符号运算

可计算函数的极限，导数，不定积分，求微分方程的通解等.在这以前，计算机只能作数值计算，不能作符号运算.

Computable function limits, derivatives, indefinite integrals, general solutions of differential equations, etc. Before this, computers could only perform numerical calculations, not symbolic operations.

04编程功能

用户可以自己编写各种程序（文本文件），开发新的功能。

Users can write various programs (text files) by themselves to develop new functions.

3Mathematica特点

01内容丰富、功能齐全

Mathematica能够进行初等数学、高等数学、工程数学等各种数值计算和符号运算。特别是其符号运算功能，给数学公式的推导带来了极大的方便。它有很强的绘图能力，能方便地画出各种美观的曲线、曲面，甚至可以进行动画设计。

Mathematica can perform various numerical calculations and symbolic operations such as elementary mathematics, advanced mathematics, and engineering mathematics. In particular, its symbolic operation function brings great convenience to the derivation of mathematical formulas. It has strong drawing ability, can easily draw various beautiful curves and surfaces, and can even carry out animation design.

02语法简练、编程效率高

Mathematica的语法规则简单、语句精炼。和其他高级语言(如C、Fortran语言)相比，其语法规则和表示方式更接近数学运算的思维和表达方式。用Mathematica编程，用较少的语句就可以完成复杂的运算和公式推导等任务。

Mathematicas grammar rules are simple and sentences are refined. Compared with other high-level languages (such as C and Fortran), its grammar rules and expressions are closer to the thinking and expression of mathematical operations. With Mathematica programming, tasks such as complex operations and formula derivation can be completed with fewer statements.

03操作简单、使用方便

Mathematica 命令易学易记，运行也非常方便。用户既可以和Mathematica进行交互式的“对话”，逐个执行命令，也可以进行“批处理”，将多个命令组成的程序，一次性地交给Mathematica，完成指定的任务。

Mathematica commands are easy to learn and remember, and very convenient to run. Users can either have an interactive "conversation" with Mathematica, execute commands one by one, or perform "batch processing", where a program composed of multiple commands can be handed over to Mathematica at one time to complete the specified task.

04和其它语言交互性好

Mathematica 和其他高级语言，如C、Fortran等语言，能进行简单的交互。可以调用C,Fortran等的输出并转化为Mathematica 的表示形式，也可以将Mathematica的输出转化为C语言、Fortran 语言和Tex编译器。

Mathematica and other high-level languages, such as C, Fortran, etc., allow for simple interaction. The output of C, Fortran, etc. can be called and converted to Mathematica representation, and the output of Mathematica can be converted to C language, Fortran language and Tex compiler.

4Mathematica主要应用领域

Mathematica可用于解决各领域内涉及复杂的符号计算和数值计算的问题，例如多项式的各种计算，包括运算、展开和分解等;也可以求各种方程的精确解和近似解、求函数的极限、导数、积分和幂级数展开等。使用Mathematica可以做任意位的整数的精确计算、分子分母为任意位数的有理数的精确计算，以及任意位精确度的数值计算；在图形方面，Mathematica 不仅可以绘制各种二维图形( 包括等值线图等),而且能绘制很精美的三维图形，帮助用户进行直观分析；Mathematica 本身提供了一批能完成各种功能的软件包，而且还有一套类似于高级程序设计语言的记法，用户可以利用这个语言来编写具有专门用途的程序或者软件包。

Mathematica can be used to solve problems involving complex symbolic and numerical calculations in various fields, such as various calculations of polynomials, including operations, expansions, and decompositions; it can also find exact and approximate solutions of various equations, and the limit of functions , derivatives, integrals, and power series expansions, etc. Using Mathematica, you can do exact calculations of integers with arbitrary digits, exact calculations of rational numbers with numerator and denominator of arbitrary digits, and numerical calculations with arbitrary digit accuracy; in terms of graphics, Mathematica can not only draw various two-dimensional graphics (including equivalent values) Line diagrams, etc.), and can draw beautiful three-dimensional graphics to help users conduct intuitive analysis; Mathematica itself provides a number of software packages that can complete various functions, and also has a set of notation similar to high-level programming languages. You can use this language to write special-purpose programs or software packages.

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参考资料：百度、谷歌翻译

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