文档介绍：Contents
PREFACE
to The Mathematica GuideBooks
CHAPTER 0
Introduction and Orientation
Overview
Content Summaries
Relation of the Four Volumes
Chapter Structure
Code Presentation Style
Requirements
Hardware and Software
Reader Prerequisites
What the GuideBooks Are and What They Are Not
puter Mathematics
Programming Paradigms
Exercises and Solutions
Exercises
Solutions
The Books Versus the ponents
Working with the Notebook
Reproducibility of the Results
Earlier Versions of the Notebooks
Style and Design Elements
Text and Code Formatting
References
Variable Scoping, Input Numbering, and Warning Messages
Graphics
Notations and Symbols
Units
Cover Graphics
Production History
Four General Suggestions
© 2004, 2005 Springer Science+Business Media, Inc.
2 Printed from THE MATHEMATICA GUIDEBOOKS
@ @ References
P R O G R A M M I N G
CHAPTER 1
Introduction to Mathematica
Remarks
Basics of Mathematica as a Programming Language
General Background
In and Out Numbering † General Naming, Spelling, and
Capitalization Conventions for Symbols † Options and Option
Settings † Messages † Add-On Packages
Elementary Syntax
Common Shortcuts † Parentheses, Braces, and Brackets †
Comments Inside Code † Font Usage † Referring to Outputs †
Functional Programming Style †“Ideal” Formatting
Introductory Examples
Remarks
putations
Periodic Continued Fractions † Pisot Numbers † Fast Integer
Arithmetic † Digit Sums † Numerical Integration † Numerical ODE
Solving † Burridge–Knopoff Earthquake Model † Trajectories in a
Random Two-Dimensional Potential † Numerical PDE Solving †
Benney PDE † Sierpinski Triangle-Generating PDE † Monitoring
Numerical Algorithms † Hilbert Matrices † Distances between Matr