From 高材生

Contents 1 Introduction 1.1 Running Mathematica 1.2 Getting Started 1.3 Working with the Notebook Interface 1.4 Getting Information from Mathematica 1.5 The Mathematica System 2 Core Language 2.1 Building Up Calculations 2.2 Lists 2.3 Manipulating Lists 2.4 Expressions 2.5 Patterns 2.6 Transformation Rules and Definitions 2.7 Functions and Programs 2.8 Functional Operations 2.9 Modularity and the Naming of Things 2.10 Strings and Characters 2.11 Evaluation of Expressions 2.12 Appendix:Language Structure 3 Mathematics and Algorithms 3.1 Numbers 3.2 Algebraic Calculations 3.3 Algebraic Manipulation 3.4 Manipulating Equations and Inequalities 3.5 Linear Algebra 3.6 Series, Limits and Residues 3.7 Calculus 3.8 Numerical Operations on Functions 3.9 Numerical Operations on Data 3.10 Mathematical Functions 3.11 Advanced Topics 4 Visualization and Graphics 4.1 Graphics and Sound 4.2 The Structure of Graphics and Sound 4.3 Editing Mathematica Graphics 5 Notebooks and Documents 5.1 Notebook Interface 5.2 Input and Output in Notebooks 5.3 Textual Input and Output 5.4 Manipulating Notebooks 5.5 Mathematical and Other Notation 6 Dynamic Interactivity 6.1 Introduction to Dynamic 6.2 Advanced Dynamic Functionality 6.3 Introduction to Manipulate 6.4 Advanced Manipulate Functionality 6.5 Generalized Input 6.6 Views 7 Data Handling and Data Sources 7.1 Files, Streams, and External Operations 7.2 Importing and Exporting 8 Systems Interfaces and Development 8.1 Global Aspects of Mathematica Sessions 8.2 The Internals of Mathematica 8.3 Security and Connectivity 8.4 MathLink and External Program Communication 8.5 J/Link User Guide 8.6 .Net/Link User Guide 8.7 DatabaseLink User Guide 8.8 System Administration for Network Licenses 8.9 System Administration for Single-User Licenses

Introduction

Running Mathematica

• 2008/8/8

Getting Started

Working with the Notebook Interface

Getting Information from Mathematica

The Mathematica System

Core Language

Building Up Calculations

Lists

Manipulating Lists

Expressions

Patterns

Transformation Rules and Definitions

Functions and Programs

Functional Operations

Modularity and the Naming of Things

Strings and Characters

Evaluation of Expressions

Appendix:Language Structure

Mathematics and Algorithms

Numbers

Algebraic Calculations

Algebraic Manipulation

Manipulating Equations and Inequalities

Linear Algebra

Series, Limits and Residues

Calculus

Numerical Operations on Functions

Numerical Operations on Data

Mathematical Functions

Advanced Topics

Visualization and Graphics

Graphics and Sound

The Structure of Graphics and Sound

Editing Mathematica Graphics

Notebooks and Documents

Notebook Interface

Input and Output in Notebooks

Textual Input and Output

Manipulating Notebooks

Mathematical and Other Notation

Dynamic Interactivity

Introduction to Dynamic

Advanced Dynamic Functionality

Introduction to Manipulate

Advanced Manipulate Functionality

Generalized Input

Views

Data Handling and Data Sources

Files, Streams, and External Operations

Importing and Exporting

Systems Interfaces and Development

Global Aspects of Mathematica Sessions

The Internals of Mathematica

Security and Connectivity

MathLink and External Program Communication

J/Link User Guide

.Net/Link User Guide

DatabaseLink User Guide

System Administration for Network Licenses

System Administration for Single-User Licenses