The Mathematica GuideBook for Programming, 2004
Auteur : Trott Michael
This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities. It then covers the hierarchical construction of objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, and the manipulation of lists.
An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.
I Introduction: *Remarks *Basics of Mathematica as a Programming Language *Introductory Examples *What Computer Algebra and Mathematica 4.0 Can and Cannot Do Exercises Solutions References
II Structure of Mathematica Expressions: *Remarks *Expressions *Simple Expressions *Nested Expressions *Manipulating numbers Exercises Solutions References
III Definitions and Properties of Functions: *Remarks *Definition and clearing of simple functions *Options and Defaults *Attributes of Functions *Downvalues and Upvalues *Functions that Remember Their Values *Functions in the x-Calculus *Repeated Application of Functions *Functions of Functions Exercises Solutions References
IV Meta-Mathematica: *Remarks *Information on Commands *Control over Running Calculations and Resources *The $-Commands *Communication and Interaction with the Outside *Debugging *Localization of Variable Names *The Process of Calculation Exercises Solutions References
V Replacement Rules and Related Matters: *Remarks *Boolean Functions *Patterns *Replacement Rules Exercises Solutions References
VI Operations on List, and Linear Algebra: *Remarks *Creating Lists * Representation of Lists *Manipulating on Single Lists *Operations with Several Lists or with Nested Lists *Mathematical Operations with Matrices *Top-ten Built-in Commands Exercises Solutions References Index
Step-by-step presentation of Mathematica functions assuming no prior Mathematica programming experience
Clear organization, complete topic coverage, and an accessible writing style for both novices and experts
Detailed discussion of procedural, rule-based, and functional programming
Hundreds of worked examples, illustrations, programs, and fully worked self-study exercises for understanding concepts and learning how to solve real-life problems
Website for book with additional materials:
http://www/MathematicaGuideBooks.org
Ouvrage de 1028 p.
17.8x25.4 cm