maple自学教程（王同学的分享四）

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Today, the editor brings you introduction of Maple software，

welcome your visit carefully!

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Chapter 01

什么是Maple

Maple是目前世界上最为通用的数学和工程计算软件之一，在数学和科学领域享有盛誉，有“数学家的软件”之称。Maple 在全球拥有数百万用户，被广泛地应用于科学、工程和教育等领域，用户渗透超过96%的世界主要高校和研究所，超过81%的世界财富五百强企业。

Maple系统内置高级技术解决建模和仿真中的数学问题，包括世界上最强大的符号计算、无限精度数值计算、创新的互联网连接、强大的4GL语言等。

Maple is currently one of the most versatile mathematical and engineering computing software in the world. Maple has millions of users around the world and is widely used in fields such as science, engineering and education. The users penetrate more than 96% of the world's major universities and research institutes, and more than 81% of the world's Fortune 500 companies.

The Maple system has built-in advanced technologies to solve mathematical problems in modeling and simulation, including the world's most powerful symbolic computing, infinite-precision numerical computing, innovative Internet connectivity, powerful 4GL language, and more.

Chapter 02

Maple主要功能

01

强大的数学工具

Maple是一个数值和符号计算的完整系统，具有世界上最好的数学计算功能，可以处理您的各种数学需求，从执行简单计算到高级计算、可视化、数据分析和算法开发。Maple软件在数学和科学领域享有盛誉，由于有全球众多的数学家参与开发，因此有“数学家的软件”之称。

Maple is a complete system of numerical and symbolic computing with the world's best mathematical computing capabilities to handle your various mathematical needs, from performing simple calculations to advanced computing, visualization, data analysis and algorithm development. Maple software enjoys a high reputation in the field of mathematics and science. Because of the participation of many mathematicians around the world, it is called "mathematician's software".

02

计算管理环境

Maple计算管理环境可以帮助您最大限度地提高计算工作的价值。使用Maple，您可以轻松验证、文档化、重用和修改计算、生成可执行项目文件、GUI图形用户界面开发、文件和代码加密、应用部署等，从而降低风险，节省时间和精力，保护计算资产。

The Maple computing management environment helps you maximize the value of your computing work. Using Maple, you can easily validate, document, reuse and modify computations, generate executable project files, GUI graphical user interface development, file and code encryption, application deployment, and more, reducing risk, saving time and effort, and protecting computing assets.

03

数值和符号计算工具

无论是要实现快速计算、创建设计表单、数据处理，还是开发算法和应用程序，Maple软件为您提供所需的一切数学功能，让您轻松地完成任务。

Whether you want to perform quick calculations, create design forms, process data, or develop algorithms and applications, Maple software gives you all the math you need to get things done with ease.

Chapter 03

Maple工作页面

(1)主文档：即主工作区。用户可以把它想象成包含有各种数学和绘图工作的Microsoft Word。

(2)面板区：汇集了数学工具和特殊的数学符号，用户可以将它们直接拖拽到工作区中使用。面板区中最重要的面板当属“表达式”、“微积分”、“矩阵”、“常用符号”和“希腊字母”。Maple提供了总共约30个面板，用户可以在面板区空白处单击鼠标右键，并单击“序列面板”来进行选择。

(3)工具条：Maple提供了两个主要的工具条。默认状态下，标准工具条含有保存、缩放等通用按钮和一些Maple特定用途的按钮。关联工具栏(context-sensitive Toolbar)则包含了一些与被对象(如数学表达式、图形、动画)相关的工具和操作命令。该工具条的内容会随不同的选中对象面改变。下面的表格给出了一引起重要的工具条按钮。

(4)输入和输出：Maple中任何以数学模型显示的表达式理论上都是可被执行的。但是在实际运用中，用户可能需要一些公式是可被执行的，面另一些只是用于解释性语句。绝大部份可执行的表达式被认为是输入，而输出则显示为蓝色，通常居中显示在屏幕上。

(5)绘图和图象区：在单个Maple文件中可以包含绘图、动画、静态图片和一些其他元素。

(6)章节和子章节：用户可以将内容分组整理成若干可折叠的章节和子章节。通过单击灰色的小三角图标可以展开或收起文档。

(1)Main document: the main work area. Users can think of it as Microsoft Word containing all kinds of math and drawing work.

(2)Panel area: A collection of mathematical tools and special mathematical symbols, users can directly drag and drop them into the work area for use. The most important panels in the panel area are "Expressions", "Calculus", "Matrix", "Common Symbols" and "Greek Letters". Maple provides a total of about 30 panels, which the user can select by right-clicking an empty space in the panel area and clicking "Sequence Panel".

(3)Toolbar: Maple provides two main toolbars. By default, the Standard Toolbar contains general buttons for saving, zooming, etc., as well as some Maple-specific buttons. The context-sensitive toolbar contains some tools and operation commands related to the object (such as mathematical expressions, graphics, animation). The content of this toolbar will change with different selected object faces. The table below shows an important toolbar button.

(4)Input and output: Any expression displayed in a mathematical model in Maple can theoretically be executed. However, in practical applications, users may need some formulas to be executable, while others are only used for explanatory statements. Most executable expressions are considered input, and output is shown in blue, usually centered on the screen.

(5)Drawing and image area: Drawings, animations, still pictures and some other elements can be included in a single Maple file.

(6)Chapters and sub-chapters: Users can group the content into several collapsible chapters and sub-chapters. Documents can be expanded or collapsed by clicking on the small gray triangle icon.

Chapter 04

Maple在高等数学中的应用

Maple不仅仅提供编程工具，更重要的是提供数学知识。Maple是教授、研究员、科学家、工程师、学生们必备的科学计算工具，从简单的数字计算到高度复杂的非线性问题，Maple都可以帮助您快速、高效地解决问题，内置超过5000个计算命令，数学和分析功能覆盖几乎所有的数学分支，如微积分、微分方程、特殊函数、线性代数、图像声音处理、统计、动力系统等。用户通过Maple产品可以在单一的环境中完成多领域物理系统建模和仿真、符号计算、数值计算、程序设计、技术文件、报告演示、算法开发、外部程序连接等功能，满足各个层次用户的需要，从高中学生到高级研究人员。

Maple not only provides programming tools, but more importantly, mathematical knowledge. Maple is an essential scientific computing tool for professors, researchers, scientists, engineers, and students. From simple numerical calculations to highly complex nonlinear problems, Maple can help you solve problems quickly and efficiently, with more than 5,000 built-in calculation commands , math and analysis functions cover almost all branches of mathematics, such as calculus, differential equations, special functions, linear algebra, image and sound processing, statistics, dynamical systems, etc. Through Maple products, users can complete multi-domain physical system modeling and simulation, symbolic calculation, numerical calculation, program design, technical documentation, report presentation, algorithm development, external program connection and other functions in a single environment to meet the needs of users at all levels , from high school students to senior researchers.

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