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

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

MAPLE is a working laptop or computer algebra approach which, because of an intensive library of refined capabilities, allows either numerical and formal computations to be played. until eventually lately, such structures have been in basic terms to be had to expert clients with entry to mainframe desktops, however the swift development within the functionality of non-public pcs (speed, reminiscence) now makes them available to the vast majority of clients. the newest models of MAPLE belong to this new new release of platforms, permitting a transforming into viewers of clients to familiarize yourself with machine 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 broad on-line aid. although, those technical manuals offer a mass of knowledge which isn't constantly of significant support to a newbie in desktop algebra who's searching for a brief way to an issue in his personal speciality: arithmetic, physics, chemistry, and so forth. This ebook has been designed in order that a scientist who needs to exploit MAPLE can locate the data he calls for quick. it really is divided into chapters that are mostly autonomous, every one being dedicated to a separate topic (graphics, differential equations, integration, polynomials, linear algebra, ... ), allowing every one consumer to pay attention to the services he relatively wishes. In every one bankruptcy, intentionally easy examples were given on the way to absolutely illustrate the syntax used.

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8 l 1 sin(pi/2); r[> sin(Pi/8); sin(alpha/2); sin On) value stored within a table (p. 444) 16 2. 1 Identifiers MAPLE, like many languages, provides the means to work with • numerical values: real, complex ... • functions, procedures ... • sets, lists or arrays ... Such objects are, as for example in PASCAL, handled through variables that are referenced by names or identifiers. e. variables to which no specific value has been assigned. For MAPLE, an identifier has to begin with a letter, then possibly followed by letters, digits or symbols.

Functions, procedures ... • sets, lists or arrays ... Such objects are, as for example in PASCAL, handled through variables that are referenced by names or identifiers. e. variables to which no specific value has been assigned. For MAPLE, an identifier has to begin with a letter, then possibly followed by letters, digits or symbols. It may not contain more than 499 characters ! Take care, MAPLE distinguishes between upper and lower cases for identifiers ! An identifier may begin with the symbol underscore _ , but one has to keep in mind that MAPLE itself sometimes needs to introduce variables, (integration constants for example) and that, in such a case, the identifiers that are used always begin with an underscore.

S2 a:= 1 a~(b~c~) ~ a:='a': subs(a=1,u1); Using the Option assume within simplify A hypothesis can be set upon all the variables occuring within an expression to which one applies simplify by adding an argument of the form assume= when calling simplify. For example, assume=positive indicates that all the variables occuring within the expression can only take positive real values. S3 l a:='a': b:='b': c:='c': simplify(u); These assignIllents clear previous hypotheses. Thus no transforIllations are perforIlled.

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