Mathematica Programming..An Advanced Introduction - Shifrin (Creative, 2008).pdf

文档介绍：MathematicaÒ programming: an
advanced introduction
Leonid Shifrin
Part I: The core language
Version
2
3
To my parents
4
Contents
Preface.......................................................................................18
I. Introduction..............................................................................26
Ÿ First principle: everything is an expression................................................................26
Ÿ Atoms and the built-in AtomQ predicate......................................................................26
Ÿ Mathematica normal (composite) expressions............................................................26
Ÿ Literal equivalents of built-in functions, and mand................................26
Ÿ . All normal expressions are trees - mand............................................ .27
Ÿ . Heads of expressions and the mand...........................................................27
Ÿ Accessing individual parts of expressions through indexing ......................................28
Ÿ Levels of expressions and the mand...........................................................28
Ÿ Second principle: pattern-matching and rule substitution...........................................30
Ÿ Rewrite Rules..............................................................................................................30
Ÿ An example of a simple pattern-defined function........................................................30
Ÿ Functions are really rules : mand....................................................31
Ÿ Example of a function based on a restricted pattern...................................................31
Ÿ A bit about evaluation..................................................................................................31
Ÿ Patterns allow for multiple definitions of the same function.........