Download e-book for iPad: An Introduction to Programming with Mathematica® by Richard J. Gaylord

By Richard J. Gaylord

ISBN-10: 1461223229

ISBN-13: 9781461223221

ISBN-10: 1461275024

ISBN-13: 9781461275022

Accompanying the publication, as with every TELOS subsidized courses, is an digital part. therefore it's a DOS-Diskette produced by means of one of many coauthors, Paul Wellin. This diskette contains Mathematica notebooks and programs which comprise the codes for all examples and workouts within the booklet, in addition to extra fabrics meant to increase many rules coated within the textual content. it truly is of serious worth to lecturers, scholars, and others utilizing this ebook to benefit the best way to successfully software with Mathematica.

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Example text

In [26] := Log' [xl 1 Out[26]= - x In fact, the prime notation f fx] is shorthand for Der i va t i ve [ 1] [f] [x]. In[27]:= FullForm[f'[xll Out[27]IIFullForm= Derivative [1] [f] [x] In addition to indefinite integration, you can also compute definite integrals. To compute Io1r sin{x) dx for example, enter: In[28]:= Integrate[Sin[xl, {x, 0, Pill Out[28]= 2 Some functions do not possess simple anti-derivatives. In[29]:= Integrate[EACos[xl, {x, 0, Pi}] Cos [x] Out[29]= Integrate[E , {x, 0, pi}] 34 I A BRIEF OVERVIEW OF MATHEMATICA This result indicates that Mathematica was unable to integrate this function.

Consult the manual [Wolfram 1991, p. 272] for a complete list of the At tributes that a symbol can have. Although it is unusual to want to alter the attributes of a built-in function, it is fairly common to change the default attributes of a user-defined function. The SetAttributes function is used to change the attributes of a function. We will see a use of SetAttributes in Chapter 8. . 1 I The Notebook Front End On many systems, such as Macintosh, NeXT, X Windows, and Windows, a graphical user interface, called the notebook front end, is available.

For example, the package contains functions to show abbreviations of chemical elements, find atomic weights, heats of vaporization, etc. 2 Joule Kilo Mole In[6]:= ElectronConfiguration[W] Out[6J= {{2}' {2, 6}' {2, 6, 10}' {2, 6, 10, l4}, {2, 6, 4}, {2}} Any function defined in a package and then read in to the current session can be explored in the same manner as you would explore the built-in functions of Mathematica. m package contains a usage message that can be accessed in the usual way. ElectronConfiguration ElectronConfiguration[element] depicts the electron configuration of the specified element in a list of the form {{ls},{2s,2p},{3s,3p,3d},{4s,4p,4d,4f},{5s,5p,5d,5f} ,{6s, 6p, 6d}, {7s}}.

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

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