Richard J. Gaylord's An Introduction to Programming with Mathematica® PDF

By Richard J. Gaylord

ISBN-10: 1461223229

ISBN-13: 9781461223221

ISBN-10: 1461275024

ISBN-13: 9781461275022

Accompanying the e-book, as with any TELOS subsidized courses, is an digital part. for that reason it's a DOS-Diskette produced via one of many coauthors, Paul Wellin. This diskette includes Mathematica notebooks and programs which include the codes for all examples and routines within the publication, in addition to extra fabrics meant to increase many principles lined within the textual content. it really is of significant worth to academics, scholars, and others utilizing this booklet to benefit easy methods to successfully application with Mathematica.

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Extra resources for An Introduction to Programming with Mathematica®

Example text

97 + 98 + 99 + 100. He evidently knew that the general term for the sum of the first n integers involved a binomial expression. 2 n + n) (1 2 I Functions of Linear Algebra Scientists and engineers have developed a vast array of tools for working with data sets of one or more dimensions. The development and application of functions and routines for operating on vectors and matrices falls under the domain of linear algebra. Some of the techniques are symbolic and others are purely numerical. We will look at some of the algorithms and numerical issues in linear algebra in detail in Chapters 7-9.

For example, the command Table [i A2, {i, 1, 5}] could be used to list the squares of the first five integers. Pascal's Triangle, named after Blaise Pascal (1623-1662), lists the binomial coefficients in an organized fashion. Here are its first 9 rows (using TableForm to format the rows in a more readable form): In{9]:= TableForm[Table[Binomial[n, k] , {n, 0, B}, {k, 0, n} 11 Out [9]//TableForm= I I I I 2 I I 3 3 I I 4 6 4 1 5 10 10 5 1 1 6 15 20 15 6 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 I 1 I Thousands of identities related to Pascal's Triangle and the binomial coefficients have been discovered over the years.

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. Sometimes Mathematica will provide special tools or options to built-in functions to deal with special cases. Other times, you will have to extend Mathematica's capabilities by writing programs that effectively deal with your domain of problems. III The Mathematica Language In this section, we cover the material that we feel you should be comfortable with before proceeding.

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


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