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

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

MAPLE is a working laptop or computer algebra method which, because of an intensive library of refined features, permits either numerical and formal computations to be played. until eventually lately, such structures have been in basic terms on hand to expert clients with entry to mainframe desktops, however the swift development within the functionality of private desktops (speed, reminiscence) now makes them obtainable to the vast majority of clients. the newest types of MAPLE belong to this new iteration of structures, permitting a turning out to be viewers of clients to familiarize yourself with computing device algebra. This paintings doesn't got down to describe the entire 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 data which isn't constantly of significant support to a newbie in laptop algebra who's searching for a brief option to an issue in his personal speciality: arithmetic, physics, chemistry, and so forth. This publication has been designed in order that a scientist who needs to take advantage of MAPLE can locate the data he calls for quick. it truly is divided into chapters that are mostly self sustaining, every one being dedicated to a separate topic (graphics, differential equations, integration, polynomials, linear algebra, ... ), permitting each one consumer to be aware of the capabilities he relatively wishes. In each one bankruptcy, intentionally uncomplicated examples were given with a view to absolutely illustrate the syntax used.

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User's
Manual
for
his
day-to-day
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Additional info for An Introduction to Maple V

Example text

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. 73 restart reinitializes the variables restart: L l Q:=ax2+1 g:=unapply(Q,x); 9 := X -; a x2 +1 Similarly, if P is an expression in the free variables x and y, the evaluation of unapply (p , x, y) returns the function that maps (x, y) onto P.

2. 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, ...

38 2 t X 9 := x - x e - t e +1 faotor(g), In the latter case, MAPLE handles g as the rational expression x 2 -x u- ::. +1, u x (x - u) (u x-I) with u = et . It factors x 2 - xu - - + 1 into -'------"--'------'-, then replaces u u u with et , providing the expected result. The factorization of f appears straightforward to a user because he implicitly transforms e- t into 1/ et , which then allows him to factor. On the other hand, this transformation has to be explicitly requested from MAPLE; which is precisely what has been done with the function expand.

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