New PDF release: A Guide to Maple

By Ernic Kamerich (auth.)

ISBN-10: 1441985565

ISBN-13: 9781441985569

ISBN-10: 1461264367

ISBN-13: 9781461264361

This "hands-on" e-book is for those that have an interest in instantly placing Maple to paintings. The reader is supplied with a compact, quick and surveyable consultant that introduces them to the wide functions of the software program. The ebook is enough for traditional use of Maple and may supply thoughts for extending Maple for extra really good paintings. the writer discusses the reliability of effects systematically and provides methods of checking out questionable effects. The ebook permits a reader to develop into a person presently and is helping him/her to develop progressively to a broader and more adept use. for this reason, a few matters are handled in an introductory means early within the ebook, with references to a extra specified dialogue later on.

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Extra info for A Guide to Maple

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The second line consists of two Maple commands: the first asks Maple to evaluate x2, but Maple does not print the result to the screen as the command is terminated with a colon. The second command on this line asks Maple to yield 20. So both xl and x2 stay unassigned and the last line yields simply xl + x2. 7 Referring to previous results with the ditto As you have seen, it is possible to refer to the previous result with the ditto ( %). In order to refer to results one or two steps earlier, you can use a two- or threefold ditto.

So both xl and x2 stay unassigned and the last line yields simply xl + x2. 7 Referring to previous results with the ditto As you have seen, it is possible to refer to the previous result with the ditto ( %). In order to refer to results one or two steps earlier, you can use a two- or threefold ditto. Here is an example. First the antiderivative (indefinite integral) of an expression is ca1culated. > 1/x/(a*x~2+b*x)~(3/2); 1 2 x (ax + bx)(3/2) > integrate( % , x ); _~ 3 bx 1 v'a x2 + bx > normal( % ); 2 - b2 3 +~ a(2ax+b) 3 ~b3;:-v-'-;=a=x""'2=+======b=x + 8 a2 x 2 + 4 a x b v'a x 2 + b x b3 X Now the result of integrate can be checked easily by comparing its derivative with the original expression by using the two- and threefold ditto.

944271910 It is obvious that this does not work. Evaluation, including automatic simplification, is applied on the argument before the procedure comes into action. So, Maple has approximated the power before evalf comes into action, and then it is too late for evalf to get a result to 40 digits. The remedy would be assigning 40 to Digi ts, before this calculation. 1415926535897932384626433832795028841971693993751 > % - %% ; o Maple yields zero for the difference because the last command has been executed as a numerical calculation with 10 digits precision.

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A Guide to Maple by Ernic Kamerich (auth.)


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