Shifrin L. Mathematica programming: an advanced introduction

Leonid Shifrin, 2008. — 408 p.This project was started as some notes on Mathematica programming, mainly for the author's need. But as notes started to expand, he decided to convert them into a text possibly useful for other people.
This book is written mostly for people who want to understand Mathematica programming, and particularly those Mathematica users who would like to make a transition from a user to a programmer, or perhaps those who already have some limited Mathematica programming experience but want to improve their command of the system.The organization of the bookChapter 1 — Introduction - describes the main principles on which the Mathematica programming is based.Chapter 2 — Elementary operations - is mostly devoted to such absolutely essential elements of the Mathematica language as variables, assignments, equality checks etc.Chapter 3 — Lists - introduces lists as Mathematica main data structure building blocks, and then we go through many built-in functions available for various manipulations with lists.Chapter 4 — Rules, patterns and functions - has actually two major parts. The first one describes patterns and rules, and then the second one describes how one can define various functions in Mathematica.Chapter 5 — Functions on lists and functional programming - is really the most important chapter in this part.Chapter 6 — Writing efficient programs - the last chapter of this part, describes a few applications developed in the style discussed earlier.