Contents:

• Mathics3 Setup Code Read on Loading
• Mathics3 Packages
• Mathics3 from Python
  • Using Mathics3 from your code
    • From a shell
    • Using MathicsSession
    • Mathics3 Results as Python Objects
      • Conversion to and from Python
  • Tutorial: Adding a new Mathics3 Function
    • Hello, World! – using Predefined
    • Introducing the Builtin Class
    • Adding Help (Information[]) Text
    • Writing Document Tests
    • Working with Multiple Patterns
    • Function Application via Rules
    • Class variables and Function Attributes
    • Emitting warnings
  • Case Studies for Adding Builtins
    • Selecting a Builtin to add
      • Adding Builtin Undefined
        • Decide where in the code and document to place the code in Mathics
        • What is Undefined?
        • Is there something similar to Undefined that we can use as an example?
        • First Skeletal version
        • Checking the Skeletal version
        • Completing Undefined
        • Testing Undefined
        • Pytest testing of Undefined
      • Adding Builtin Function KroneckerProduct
        • Finding a corresponding SymPy function and Wikipedia name for KroneckerProduct
        • KroneckerProduct placement in Mathics
        • KroneckerProduct Basic Skeleton
        • Checking the KroneckerProduct[] Skeletal Version
        • Completing KroneckerProduct
        • Testing KroneckerProduct[]
      • Adding Builtin Function Curl
        • Writing Curl in Mathics
        • Curl placement in Mathics3
        • Find corresponding Sympy, SciPy, mpmath, or NumPy function
        • Basic version of Curl using Rules
    • Adding Builtin Undefined
      • Decide where in the code and document to place the code in Mathics
        • What is Undefined?
      • What is Undefined?
        • Is there something similar to Undefined that we can use as an example?
      • Is there something similar to Undefined that we can use as an example?
        • First Skeletal version
      • First Skeletal version
        • Undefined Title Line
        • Undefined Symbol Definition Description
        • User-Oriented Examples
      • Checking the Skeletal version
        • Completing Undefined
      • Completing Undefined
        • Testing Undefined
      • Testing Undefined
        • Pytest testing of Undefined
      • Pytest testing of Undefined
        • Adding Builtin Function KroneckerProduct
    • Adding Builtin Function KroneckerProduct
      • Finding a corresponding SymPy function and Wikipedia name for KroneckerProduct
        • KroneckerProduct placement in Mathics
      • KroneckerProduct placement in Mathics
        • KroneckerProduct Basic Skeleton
      • KroneckerProduct Basic Skeleton
        • KroneckerProduct Title Line
        • KroneckerProduct Function Definition Description
        • KroneckerProduct Examples
      • Checking the KroneckerProduct[] Skeletal Version
        • Completing KroneckerProduct
      • Completing KroneckerProduct
        • KroneckerProduct[] skeletal code
        • KroneckerProduct[] class variables
        • KroneckerProduct[] evaluation method
        • KroneckerProduct[] evaluation method, second version
      • Testing KroneckerProduct[]
        • Adding Builtin Function Curl
    • Adding Builtin Function Curl
      • Writing Curl in Mathics
        • Two-dimensional Mathematical Definition
        • Two-dimensional Mathics3 Function
        • Three-dimensional Mathematical Definition
        • Three-dimensional Mathics3 Function
        • Adding Curl as an autoloaded function
        • Testing autoloaded Curl function
      • Curl placement in Mathics3
        • When there is no existing section in Mathics3 already…
      • Find corresponding Sympy, SciPy, mpmath, or NumPy function
        • Curl placement in Mathics3
      • Basic version of Curl using Rules
        • Basic Curl version
  • Documentation Markup
    • Markup in Documentation
    • Markup for Code Examples
  • Guidelines for Writing Documentation
    • Title
    • Definition Block
    • Extended Description Section
  • Contributing & Developing
    • Contributing
    • Developing
  • Running Tests
    • Unit tests
    • Doctests
      • Dependencies
• Mathics3 Core Interpreter Overview
  • Session
    • Definitions
    • session.evaluate() at a High Level
    • Expression.format()
  • Scanning
  • Parsing
    • Parsing Overview
      • Precedence-Climbing Parser
        • Introduction
        • Precedence Climbing
        • Mathics3 implementation
        • Recursive descent parsers in Python
        • References
    • Precedence-Climbing Parser
      • Introduction
      • Precedence Climbing
        • Precedence
        • Grouping
        • Unary operators
        • Ternary operators
        • Special case: Integrate
      • Mathics3 implementation
        • Precedence Climbing Operators
      • Recursive descent parsers in Python
      • References
        • Python Code for Scanning and Parsing a String
    • Python Code for Scanning and Parsing a String
  • AST, M-Expression, General List: same thing
  • Evaluation of an Expression
    • Evaluation Overview
    • Evaluation can leave an Expression Seemingly Unchanged
    • Broad Description of the Rewrite/Apply/Eval Process
    • Detailed Rewrite/Apply/Eval Process
      • Gather information from Head and gather its elements
      • Build a new Expression
      • Compute evaluation timestamp
      • Setup Thread rewrite Listable Functions
      • Search for a Rule in Head to apply
      • Apply Rule or restore Expression
    • Mathics3 Function Application
    • Built-in Function Name Descriptions
    • Python Code for Evaluating an Expression
  • Pattern Matching in Evaluation
    • Pattern Classes
  • Forms, Boxes, and Formats
    • Forms
    • The Box Model
    • Output Formats
  • Python Modules
    • mathics.core
      • mathics.core.convert
      • mathics.core.parser
    • mathics.eval
    • mathics.builtin
    • mathics.compile
    • mathics.doc
  • Object Classes
    • Class Diagram for Some of the Classes
    • Atom Class
    • BaseElement Class
    • Builtin class
    • Definition Class
    • Definitions Class
    • Expression Class
    • Predefined Class
    • Symbol Class
    • Operator
    • PrefixOperator and PostFixOperator
    • BinaryOperator and UnaryOperator
    • SympyConstant, MPMathConstant, and NumpyConstant
    • SympyFunction and MPMathFunction
    • Which class should be used for a Mathics3 Object?
  • Glossary