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Using Mathematica

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Basics

• Types
• Variables
• Functions
• Loops and Scoping
• Errors
• Clear

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Interface

• Function Aliases
• Documentation
• Keyboard Aliases and Special Characters
• Palettes and Toolbars
• Styles

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Useful Features

• Plotting
• Symbolic Algebra
• Calculus
• Built-in Data and Units

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Mathematica Programming

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Code Structure

• Symbols and Expressions
• Expressions Structure
• Patterns
• Replacement Patterns
• Functions
• Contexts
• OwnValues, Set, and SetDelayed
• Function Values and Definition Clearing
• Hold and Evaluation Order
• Scoping Revisited
• Flow Control
• Error Handling

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Higher-Level Functionality

• Packages
• Dynamic
• Formatting
• Interfaces
• The Front End
• Remote Kernels

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Assorted Tricks

• Trott-Strzebonski
• Villegas-Gayley
• Import and ReadList
• CurrentValue and FrontEndTokens
• Info Scraping
• Object Oriented Programming

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Functional Programming

• Procedural Programming
• Table / Do
• Map / Scan
• Nest / NestList
• Fold / FoldList
• FixedPoint and Gradients

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Performance Tuning

• Compile
• Special Array Types

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Package Usage and Development

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Overview

• Packages in Mathematica
• Paclets

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Paclet Usage

• Installation
• Paclet Servers

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Paclet Development

• PacletInfo and Paclet Structure
• Paclet Development
• Paclet Distribution
• Tips and Tricks
• Sample Paclet Structures

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Higher-Level Features

• Multipackage Paclets
• Special Paclets

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Advanced Features

• Function Preparation
• New-Style Packages

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Reference Guides

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Undocumented Contexts

• Overview
• Internal
• FrontEnd
• System*
• Language
• GeneralUtilities
• Package