Sunday, February 15, 2009

About a Maple Software

Maple is a mathematics software made in Waterloo Maple Inc.. ability to work with the reliable enough to handle a variety of analytical and numeric computing. This software has been developed to various versions. Differences between the new version with previous versions mainly located in software features and the number of regular-routine functions, which increases. Changes began in the Maple version 7 with the addition GUI facility that allows users to design applications that interactive. While the discussion on this blog are using the version of Maple 9.

Maple software category, including symbolic computing software, which works on models of mathematics (in the form of a symbol or a math equation or expression). This means that this software can not be used to solve the problem of verbal mathematics. For example, there are problems:

"Amir pay Rp. 40,000 - to buy 2 books with the same title. What is the price of the units each of these books? ".

Issues such as this can not be resolved directly using Maple, because this software does not recognize the language of mathematics like that. However, if the issues we state in the form of symbolic model, for example, if x = unit price books, the style is 2x = 40,000, and this model can easily be resolved, namely the solution x = 20,000 or unit price is Rp books. 20.000, - per book.

As the software computing the math the other, such as Mathematica, Mathcad, Matlab and so forth, Maple humor also enjoy the convenience of the users interact in a mathematically. Writing, calculation and manipulation of mathematical expressions and graphs handling 2D, 3D and animation can be done by using the commands with a simple syntax and display the response as a solution when we get done manually. Here we see some early examples of how to use computing facilities Maple 9.

For example, known function f (x) = x ^ 2 - 2x + 2 and will be sought first from the value of derivative f (x) for x = 3 or f '(3). Maple 9 with the resolution made as follows:

>f:=x->x^2-2*x+2;
Diff(f(x),x)=diff(f(x),x);
Eval(Diff(f(x),x),x=3)=eval(diff(f(x),x),x=3);

Results from the execution of the command are:

The first line to define f (x), the second line to first know the derivative f (x) and the third line mensubstitusikan the value of x = 3 in the first derivative. On the mode of the worksheet, the results are displayed directly under the command line. Third command also can be summarized in just one command line only to:

> Diff(x^2–2*x +2,x)=eval(diff(f(x),x),x=3);

In addition to speed the process of computing, we can also see the ease of expression write the math. Maple 9 provides facilities on the palette that allows us to write down the expression-expression in the form of a symbol matematiksa directly, as usual we write the manual. For example, we will calculate an integral function, so the palette can be switched on and we can write expressions such as the integral symbol manually. Consider the following examples:

Illustrative examples are only a small part of the thousands of facilities from software to handle the Maple symbolic and numeric computing.