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An Introduction to Maple V by Jack-Michel Cornil, Philippe Testud, T. Van Effelterre

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By Jack-Michel Cornil, Philippe Testud, T. Van Effelterre

MAPLE is a working laptop or computer algebra procedure which, because of an intensive library of subtle capabilities, permits either numerical and formal computations to be played. until eventually lately, such platforms have been in basic terms on hand to expert clients with entry to mainframe desktops, however the fast development within the functionality of private desktops (speed, reminiscence) now makes them available to the vast majority of clients. the newest models of MAPLE belong to this new iteration of structures, permitting a transforming into viewers of clients to get to grips with machine algebra. This paintings doesn't got down to describe the entire chances of MAPLE in an exhaustive demeanour; there's already loads of such documentation, together with vast on-line support. in spite of the fact that, those technical manuals offer a mass of data which isn't constantly of significant aid to a newbie in laptop algebra who's trying to find a short option to an issue in his personal speciality: arithmetic, physics, chemistry, and so on. This e-book has been designed in order that a scientist who needs to exploit MAPLE can locate the knowledge he calls for speedy. it really is divided into chapters that are principally autonomous, each being dedicated to a separate topic (graphics, differential equations, integration, polynomials, linear algebra, ... ), permitting every one consumer to be aware of the capabilities he relatively wishes. In every one bankruptcy, intentionally basic examples were given for you to totally illustrate the syntax used.

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Example text

As we notice from the above examples, command areas (containing MAPLE expressions) and text areas (containing comments) may be mixed within the same line. When the cursor is positioned: • within a command area, the button ~ is depressed and the context bar related to the commands (Ch. 26) is displayed. • within a text area, the button ITJ is depressed and the related context bar is displayed (Ch. 26). By default, the prompt that begins a line forms itself a text area when one starts a new line and the cursor stands in the next area, which is a command area: everything one types then is considered as belonging to (executable) MAPLE expressions.

The error messages are written with this font. 2 Operators, Functions and Constants Basic operators: Besides the basic operators the following arithmetic operators Operator + , - , * , /, MAPLE knows Notation Example ! 7! 5-3 Quotient of integer division iquo(. ) iquo(17,3) Remainder of integer division irem(. 14159 ........ square root of -1 + infinity Euler constant Warning! MAPLE distinguishes between upper and lower cases within the names of constants, as well as within every identifier it uses.

72 3 x:='x': subs(x=2,P); 7 x is free, hence the evaluation of P returns an expression in x In order to use the function subs, x has to be a free variable. Suppose, for example, x has been assigned the value 5. Since MAPLE fully evaluates all the arguments of the function subs, the expression subs(x=2,P) is transformed into subs(5=2,P), which is not, of course, what one expects. 4 Links Between Expressions and Functions If P is an expression in the free variable x, the evaluation of unapply (p , x) returns the function that maps x onto P.

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