An Introduction to Programming with Mathematica® by Richard J. Gaylord

By Richard J. Gaylord

Accompanying the booklet, as with any TELOS subsidized courses, is an digital part. hence it's a DOS-Diskette produced through one of many coauthors, Paul Wellin. This diskette comprises Mathematica notebooks and applications which comprise the codes for all examples and workouts within the ebook, in addition to extra fabrics meant to increase many principles lined within the textual content. it really is of serious price to lecturers, scholars, and others utilizing this e-book to profit tips on how to successfully application with Mathematica.

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The function x - sin (x) clearly has a root at x = 0, but it appears as if FindRoot is unable to find it with an initial guess that is quite close to the desired root. As it turns out, this function is particularly "pathological" in that it converges to its roots very, very slowly. Mathematicds functions are set up in such a way so that their default behavior does the right thing in as broad a manner as possible. These functions can sometimes miss certain peculiarities. In these types of situations, a careful analysis of the problem you are working on is often necessary.

Ft. 'J. ~'PI0130BJll<. I\' . It). rdonG 10 11\. ptclllcall"". (go<. g~ . gIl. lona.! P~"'rt The SI ~ must b, ill GrayUvtl. ,'PI013DP<. 1'1 . fzJ. 110111 •... lght ·. Many additional features are available in the Function Browser and you are advised to consult your documentation for a complete list and description. 2 I The Command Line Interface Using Mathematica on a computer that does not have a notebook interface is not a disadvantage if the user can just remember a few additional commands.

Although our focus in this will be on the programming capabilities of the Mathematica language, these res should not be viewed as unrelated. You often need to write programs out complex computations and represent data in a graphical manner to visualize a problem you are working on. In this chapter we introduce the tary operations avai lable in Mathematica. We will give a hint of the richness of the Mathematica programming language . . Numerical and Symbolic Computations Mathematica differs from calculators and simple computer programs in its ability to calculate exact results and to compute to an arbitrary degree of precision.

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