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首页Maple by Example (3rd Ed.):最新版全面指南
Maple by Example (3rd Ed.):最新版全面指南
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"《Maple by Example (3rd Ed.)》是一本针对初学者和有经验的Maple用户,以及专业工程师设计的参考书与配套CD的教程。本书旨在与最新版本的Maple软件兼容,覆盖了广泛的应用领域,包括微积分、线性代数、商业数学、常微分方程、偏微分方程、数值方法、图形绘制等课程内容。作者Martha L. Abell和James P. Braselton以其详尽的步骤解析,帮助读者掌握Maple软件的强大功能。 新版本的特点在于提供了更新后的Maple输入示例,所有文本内容也得到了同步更新,涵盖了Maple的最新特性和功能。书中融入了来自生物学、物理学和工程学等多个领域的实际应用案例,使得理论知识与实践操作相结合。此外,这本书还强调了向后兼容性,确保早期Maple版本的用户也能顺利使用。 值得注意的是,该书在版权方面,由Elsevier Inc.出版,并严格遵循版权法规定,未经书面许可,任何形式的复制或传输都是被禁止的。如果需要引用或使用其中的内容,必须获得出版社的直接授权。封面设计、排版和印刷质量方面,由Eric DeCicco负责封面设计,Cepha进行排版,而Phoenix Color和Maple Vail Book Manufacturing Group则分别负责封面和内页的印刷工作。 《Maple by Example (3rd Ed.)》是一本实用且全面的Maple教程,不仅适合学术研究,也是工程技术人员提升技能的宝贵参考资料。通过深入浅出的讲解和丰富的实例,读者可以迅速上手Maple,解决实际问题,提高工作效率。"
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1.1 Introduction to Maple 3
1.1.1 Getting Started with Maple
We begin by introducing the essentials of Maple. The examples presented are
taken from algebra, trigonometry, and calculus topics that you are familiar with to
assist you in becoming acquainted with the Maple computer algebra system.
We assume that Maple has been correctly installed on the computer you
are using. If you need to install Maple on your computer, please refer to the
documentation that came with the Maple software package.
Start Maple on your computer system. Using Windows or Macintosh mouse or
keyboard commands, activate the Maple program by selecting the Maple icon or
an existing Maple document (or worksheet), and then clicking or double-clicking
on the icon.
Maple worksheets are
platform-independent and
can be exchanged by users of
different platforms. Even the
appearance of Maple
worksheets looks the same
across platforms. To
illustrate, we have included
screenshots for both
Windows and Macintosh
versions of Maple throughout
Maple by Example.
If you start Maple by selecting the Maple icon, a blank untitled worksheet is
opened, as illustrated in the following screenshot.
When you start typing, your typing appears to the right of the prompt.
![](https://csdnimg.cn/release/download_crawler_static/5328506/bg11.jpg)
4 Chapter 1 Getting Started
Once Maple has been started, computations can be carried out immediately.
Maple commands are typed to the right of the prompt. End a command by plac-
ing a semicolon at the end and then evaluate the command by pressing Enter.
If you wish to suppress the resulting output, place a colon at the end of the
If you forget to include a
semicolon (or colon) at the
end of a command, Maple will
remind you that you have
forgotten it but try to
evaluate the command
anyway.
command instead of a semicolon. Note that pressing Enter or Return evaluates
commands and pressing Shift-Return yields a new line. Output is displayed below
With some operating
systems, Enter evaluates
commands and Return
yields a new line.
input. We illustrate some of the typical steps involved in working with Maple in
the calculations that follow. In each case, we type the command, end the command
with a semicolon, and press Enter. Maple evaluates the command, displays the
result, and inserts a prompt after the result. For example, typing evalf(Pi,25);
and then pressing the Enter key
> evalf(Pi,25);
3.141592653589793238462643
returns a 25-digit approximation of π.
The next calculation can then be typed and entered in the same manner as the
first. For example, entering
> plot(sin(x),2*cos(2*x),x=0..3*Pi);
![](https://csdnimg.cn/release/download_crawler_static/5328506/bg12.jpg)
1.1 Introduction to Maple 5
2
0
1
-1
-2
x
20468
Figure 1-1 A two-dimensional plot
Figure 1-2 A three-dimensional plot
graphs the functions y = sin x and y = 2 cos 2x and on the interval [0, 3π ] shown
in Figure 1-1. Similarly, entering
> plot3d(sin(x+cos(y)),x=0..4*Pi,y=0..4*Pi);
graphs the function z = sin(x + cos y) for 0 ≤ x ≤ 4π and 0 ≤ y ≤ 4π shown in
Figure 1-2.
Similarly,
> solve(xˆ3-2*x+1=0);
1, −1/2 + 1/2
√
5, −1/2 − 1/2
√
5
solves the equation x
3
− 2x + 1 = 0 for x.
![](https://csdnimg.cn/release/download_crawler_static/5328506/bg13.jpg)
6 Chapter 1 Getting Started
You can control how input and output are displayed by following the Maple
menu from Maple to Preferences.
In the following screenshot, we illustrate the appearance of output for each of
the four output options.
Maple sessions are terminated by selecting Quit from the File menu, or by
using a keyboard shortcut, like command-Q, as with other applications. They can
be saved by referring to Save from the File menu.
Maple allows you to save worksheets (as well as combinations of cells) in a
variety of formats, in addition to the standard Maple format.
![](https://csdnimg.cn/release/download_crawler_static/5328506/bg14.jpg)
1.1 Introduction to Maple 7
Remark. Input and text regions in worksheets can be edited. Editing input can
create a worksheet in which the mathematical output does not make sense in the
sequence it appears. It is also possible to simply go into a worksheet and alter input
without doing any recalculation. To insert command prompts, go to the menu and
select Insert followed by Execution Group.
You may then choose to insert an execution group before or after the cursor.
However, this can create misleading worksheets. Hence, common sense and
caution should be used when editing the input regions of worksheets. Recalculating
all commands in the worksheet will clarify any confusion.
Preview
In order for the Maple user to take full advantage of this powerful software,
an understanding of its syntax is imperative. The goal of Maple by Example is to
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