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Jack-Michel Cornil, Philippe Testud, T. Van Effelterre's An Introduction to Maple V PDF

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 approach which, due to an intensive library of refined services, allows either numerical and formal computations to be played. until eventually lately, such platforms have been basically to be had to specialist clients with entry to mainframe desktops, however the fast development within the functionality of private pcs (speed, reminiscence) now makes them available to the vast majority of clients. the most recent types of MAPLE belong to this new new release of platforms, permitting a starting to be viewers of clients to get to grips with computing device algebra. This paintings doesn't got down to describe all of the chances of MAPLE in an exhaustive demeanour; there's already loads of such documentation, together with broad on-line support. even if, those technical manuals supply a mass of data which isn't continuously of significant aid to a newbie in laptop algebra who's searching for a brief method 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 take advantage of MAPLE can locate the data 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, ... ), allowing every one person to be aware of the features he fairly wishes. In each one bankruptcy, intentionally basic examples were given in an effort to absolutely illustrate the syntax used.

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If x is a real number and n is an odd integer, then surd (x, n) returns the real nth root of x . • More generally, if x is a complex number and n is an integer, surd(x,n) returns the nth root of x whose argument is closest to the argument of x. 76 surd ( -1,3) ; r evalc(surd(-1,8)); -1 44 2. 2 The Function simplify Having given clear definitions of the functions exp, In and the exponentiation operator, we come back to the behavior of the function simplify. Since the transformations corresponding to the three first lines power, radical and sqrt of the table page 29 are not valid for all complex value of the arguments, the function simplify only executes these transformations in two cases: • when simplify is used with the option symbolic (p.

Warning! Since MAPLE distinguishes between upper and lower cases, it distinguishes between Pi and pi. While Pi represents the well-known number, pi represents the greek letter, just like alpha or beta. This explains why one doesn't get the expected evaluation if one types sin (pi/2). ~ sin(Pi/2); Ex. 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 ...

P points towards the expression x-2+x+l in each of the three cases . • In the second case, x points towards y-2 and in the evaluation of P, MAPLE returns is the value of x-2+x+l for x=y-2 . • In the third case, y points towards 2 and in the evaluation of P, MAPLE returns is the value for y=2 of the value for x=y-2 of x-2+x+1. This little game could be continued ad infinitum. In brief, MAPLE carries out a full and recursive evaluation of every expression until all possible evaluations have been exhausted.

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

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