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

By Richard J. Gaylord

ISBN-10: 051108062X

ISBN-13: 9780511080623

ISBN-10: 0521846781

ISBN-13: 9780521846783

An creation to Programming with Mathematica® is designed to introduce the Mathematica programming language to a large viewers. because the final version of this e-book used to be released, major alterations have happened in Mathematica and its use world wide. holding velocity with those adjustments, this considerably greater, up-to-date model contains new and revised chapters on numerics, procedural, rule-based, and front-end programming, and offers major insurance to the most recent beneficial properties as much as, and together with, Mathematica 5.1 Mathematica notebooks, to be had from, comprise examples, courses, and recommendations to routines within the ebook. also, fabric to complement later models of the software program may be made to be had. this is often the precise textual content for all clinical scholars, researchers, and programmers wishing to deepen their realizing of Mathematica, or maybe these prepared to application 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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Extra info for An Introduction to Programming with Mathematica

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Apply Apply f, expr or f expr replaces the head of expr by f. Apply f, expr, levelspec replaces heads in parts of expr specified by levelspec. More… In the case of a user-defined rewrite rule, the rule itself is printed. For the simple examples above, the crucial difference between rewrite rules created with the SetDe layed and Set functions becomes apparent by querying the rule base for the rewrite rules associated with the symbols rand1 and rand2. In[16]:= ? 668693 A rewrite rule created using the Set function has the same left-hand side as the function that created it but the right-hand side of the rule may differ from the right-hand side of the function.

In[1]:= f n_ 1 Out[1]= In[2]:= Sum x 1 1 x j x 1 x 1 x g n_ : Sum , j, 1, n n j , j, 1, n Explain why the output of these two functions look so different. Are they in fact different? In[3]:= f 2 1 Out[3]= In[4]:= Out[4]= x 1 x 1 x 2 g 2 1 x 1 x 2 3. Create a piecewise-defined function g x based on the following and then plot the function from 2 to 0. 3 Predicates and Boolean operations Predicates When working with data sets, you are often presented with the problem of extracting those data points that meet certain criteria.

These attributes can make a function commutative or associative, or they may give the function the ability to be threaded over a list. The attributes of any function are displayed with the Attributes function. In[1]:= Attributes Plus Flat, Listable, NumericFunction, OneIdentity, Orderless, Protected Out[1]= The Flat attribute indicates that this function (Plus) is associative. That is, given three elements to add, it does not matter which two are added first. In mathematics, this is a b c. In Mathematica this could be known as associativity and is written as a b c indicated by saying that the two expressions Plus[a, Plus[b, c]] and Plus[ Plus[a, b], c] are equivalent to the flattened form Plus[a, b, c].

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An Introduction to Programming with Mathematica by Richard J. Gaylord

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