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

By Richard J. Gaylord

An creation to Programming with Mathematica® is designed to introduce the Mathematica programming language to a large viewers. because the final variation of this e-book was once released, major adjustments have happened in Mathematica and its use around the globe. conserving speed with those alterations, this considerably higher, up to date model contains new and revised chapters on numerics, procedural, rule-based, and front-end programming, and offers major assurance to the newest good points as much as, and together with, Mathematica 5.1 Mathematica notebooks, to be had from www.cambridge.org/0521846781, comprise examples, courses, and recommendations to workouts within the e-book. also, fabric to complement later models of the software program can be made to be had. this can be the appropriate textual content for all clinical scholars, researchers, and programmers wishing to deepen their figuring out of Mathematica, or perhaps these willing to software utilizing an interactive language that comprises programming paradigms from all significant programming languages: procedural, useful, recursive, rule-based, and object-oriented.

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In[4]:= Head f Out[4]= Symbol In[5]:= Out[5]= Head Integrate Symbol In Mathematica, built-in constants all are Symbols. In[6]:= Out[6]= Head , Head , Head EulerGamma Symbol, Symbol, Symbol Symbols can consist of one or more concatenated characters so long as they do not begin with a number. In[7]:= Out[7]= Head myfunc Symbol 33 2 The Mathematica language The four kinds of numbers – integers, real numbers, complex numbers and rational numbers – are shown in the list below. 201 , Head 3 4 7 Out[8]= Integer, Rational, Real, Complex A string is composed of characters and is enclosed in quotes.

In[7]:= Out[7]= Table 3 i, i, 2, 5 6, 9, 12, 15 Similarly, both imin and di can be omitted and are then assumed to be 1. In[8]:= Out[8]= Table i2 , i, 4 1, 4, 9, 16 57 3 Lists If the iterator variable does not appear in the expression being evaluated, it may be omitted as well. The expression will then simply be evaluated that many times. 62081 Out[9]= The expression that the Table function evaluates can be completely arbitrary. In the following computation, it is used to create tables of formulas.

In[7]:= Out[7]= Table 3 i, i, 2, 5 6, 9, 12, 15 Similarly, both imin and di can be omitted and are then assumed to be 1. In[8]:= Out[8]= Table i2 , i, 4 1, 4, 9, 16 57 3 Lists If the iterator variable does not appear in the expression being evaluated, it may be omitted as well. The expression will then simply be evaluated that many times. 62081 Out[9]= The expression that the Table function evaluates can be completely arbitrary. In the following computation, it is used to create tables of formulas.