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

ISBN-10: 3540664424

ISBN-13: 9783540664420

ISBN-10: 3642567290

ISBN-13: 9783642567292

MAPLE is a working laptop or computer algebra process which, due to an intensive library of subtle services, allows either numerical and formal computations to be played. until eventually lately, such platforms have been basically to be had to expert clients with entry to mainframe desktops, however the quick development within the functionality of non-public desktops (speed, reminiscence) now makes them available to the vast majority of clients. the newest types of MAPLE belong to this new new release of platforms, permitting a turning out to be viewers of clients to familiarize yourself 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 wide on-line aid. even if, those technical manuals offer a mass of data which isn't continually of significant aid to a newbie in desktop 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 take advantage of MAPLE can locate the knowledge he calls for speedy. it truly is divided into chapters that are mostly self reliant, each being dedicated to a separate topic (graphics, differential equations, integration, polynomials, linear algebra, ... ), permitting every one consumer to be aware of the services he relatively wishes. In each one bankruptcy, intentionally easy examples were given so that it will totally illustrate the syntax used.

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**Additional resources for An Introduction to Maple V**

**Example text**

Ex. 1 First Steps 15 The function evalf is also needed to obtain approximate values of the symbolic constants presented on page 13. L Ex. 1415926535897932384626433832795028841971693993751 MAPLE seems to know these constants with unlimited precision. The result of an evaluation depends only on the value of Digits. For 'If, for example, the first evaluation of evalf (Pi) loads into memory the procedure evalf / constant/Pi, which contains a value with 50 significant digits. If more precision is required, MAPLE accesses a value _bigPi that has 10000 decimal digits.

Ex. 1 First Steps 15 The function evalf is also needed to obtain approximate values of the symbolic constants presented on page 13. L Ex. 1415926535897932384626433832795028841971693993751 MAPLE seems to know these constants with unlimited precision. The result of an evaluation depends only on the value of Digits. For 'If, for example, the first evaluation of evalf (Pi) loads into memory the procedure evalf / constant/Pi, which contains a value with 50 significant digits. If more precision is required, MAPLE accesses a value _bigPi that has 10000 decimal digits.

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.

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

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