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

MAPLE is a working laptop or computer algebra method which, due to an intensive library of subtle features, allows either numerical and formal computations to be played. till lately, such platforms have been in simple terms on hand to specialist clients with entry to mainframe desktops, however the quick development within the functionality of private pcs (speed, reminiscence) now makes them obtainable to the vast majority of clients. the newest types of MAPLE belong to this new new release of platforms, permitting a becoming viewers of clients to familiarize yourself with computing device algebra. This paintings doesn't got down to describe all of the probabilities of MAPLE in an exhaustive demeanour; there's already loads of such documentation, together with large on-line support. besides the fact that, those technical manuals offer a mass of knowledge which isn't continually of serious support to a newbie in machine algebra who's trying to find a brief way to an issue in his personal speciality: arithmetic, physics, chemistry, and so forth. 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's divided into chapters that are principally self sufficient, every one being dedicated to a separate topic (graphics, differential equations, integration, polynomials, linear algebra, ... ), permitting every one person to be aware of the services he relatively wishes. In every one bankruptcy, intentionally easy examples were given as a way to totally illustrate the syntax used.

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MAPLE is a working laptop or computer algebra approach which, due to an intensive library of subtle features, permits either numerical and formal computations to be played. until eventually lately, such structures have been merely to be had to expert clients with entry to mainframe desktops, however the quick development within the functionality of private pcs (speed, reminiscence) now makes them available to the vast majority of clients.

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**Extra info for An Introduction to Maple V**

**Example text**

5) isn't a dummy variable: MAPLE evaluates the arguments of the function sum and finds sum(4,2=1. 5), which explains the error message. 28 i; 2 > i:='i'; sum(i-2,i=1 .. 5); [ i := 'i' 55 or apostrophes can be used to prevent the evaluation of the arguments of the function. 5);55 i:= 2 A few functions don't evaluate their arguments or only evaluate them partially. This is true of the function seq, for example. 30 restart; i:=2; seq(i-2,i=1 .. 3 Fundamental Operations MAPLE is designed to keep expressions in the form in which they are initially encountered.

Introduction When a session starts, MAPLE displays a prompt (in general the symbol». e. a mathematical expression, an assignment or other instructions. 1 Keyboarding an Expression In order to display the MAPLE evaluation of an expression on the screen, the user simply types the expression, followed by a semicolon, and presses [ENTER[. [> Ex. 1 [> [> 1+1; do not forget to type [ENTER[ 2 2~10; 1024 1+2*3+4; 11 When the user types an expression that is syntactically incorrect, MAPLE returns the message syntax error, ...

It doesn't expand or factor a polynomial on its own initiative. (x-y)(x 2 +xy+y2) x 3 _ y3 • It simplifies () , but not x-y x-y • It doesn't simplify an expression like sin 2 (x) + cos 2 (x). 31 restart; r > sin(x)-2+cos(x)-2; [ sin(x)2 + COS(X)2 MAPLE thus only carries out the bare mllllmum of transformations on its own initiative and the user must explicitly request any simplifications required. To do this, MAPLE provides transformation functions such as expand, factor, normal, simplify, convert, combine, ....