By Jack-Michel Cornil, Philippe Testud, T. Van Effelterre
MAPLE is a working laptop or computer algebra method which, due to an in depth library of subtle capabilities, permits either numerical and formal computations to be played. until eventually lately, such platforms have been simply on hand to specialist clients with entry to mainframe pcs, however the fast development within the functionality of non-public desktops (speed, reminiscence) now makes them obtainable to the vast majority of clients. the most recent types of MAPLE belong to this new iteration of structures, permitting a transforming into viewers of clients to familiarize yourself with computing device 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 huge on-line support. besides the fact that, those technical manuals supply a mass of knowledge which isn't consistently of serious support to a newbie in computing device algebra who's trying to find a short method 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 exploit MAPLE can locate the knowledge he calls for quick. it really is divided into chapters that are principally self sufficient, every one being dedicated to a separate topic (graphics, differential equations, integration, polynomials, linear algebra, ... ), permitting each one person to be aware of the capabilities he quite wishes. In each one bankruptcy, intentionally uncomplicated examples were given to be able to absolutely illustrate the syntax used.
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Extra info for An Introduction to Maple V
E. uninitialized) value of the variable x. If one then assigns x the value I, or the value 2 and next requests the evaluation of P, one gets the corresponding numerical value of the expression P. 14 r x:=1; P; x'2; x:= 1 3 P; x:= 2 7 18 2. Introduction If one then carries out the assignment . [ Q:=x-3+1; Q:=9 One can see from the result on the screen that MAPLE assigns Q the value of x 3 + I for x = 2. It isn't an expression in x but a numerical value that is assigned to Q in this case. Let us verify it.
Depressing the IENTERI key causes the execution of the current line when the cursor stands within a command area. But it causes a line jump into the current area if the cursor stands within a text area. Throughout this book, • The executable MAPLE expressions are written with this font. • The comments are written with this font. • 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 !
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. 74 l h:=unapply(R,x,y); h := (x, y) -; x 2 + xy + y2 Conversely, if f is a function in one variable and if g is a function in two variables, then f (x) and g (x, y) are expressions with which one can compute just as with any expression that has been typed in or returned as the result of a computation.
An Introduction to Maple V by Jack-Michel Cornil, Philippe Testud, T. Van Effelterre