Welcome to Sage’s Reference Manual!

This is a thematic index of all of Sage’s features. It also contains many examples that illustrate their use, all of them systematically tested with each release.

Enjoy Sage!

Table of Contents

Calculus, Plotting

Combinatorics, Discrete Mathematics

Structures, Coercion, Categories

Rings, Fields, Algebras

  • General Rings, Ideals, and Morphisms
  • Standard Commutative Rings
  • Fixed and Arbitrary Precision Numerical Fields
  • Finite Rings
  • Algebraic Number Fields
  • Function Fields
  • p-Adics
  • Polynomial Rings
  • Power Series Rings
  • Standard Semirings
  • Algebras
  • Quaternion Algebras

Groups, Monoids, Matrices, Modules

  • Groups
  • Monoids
  • Matrices and Spaces of Matrices
  • Modules

Geometry and Topology

Number Theory, Algebraic Geometry

  • Quadratic Forms
  • L-Functions
  • Schemes
  • Elliptic, Plane, and Hyperelliptic Curves
  • Arithmetic Subgroups of SL_2(Z)
  • General Hecke Algebras and Hecke Modules
  • Modular Symbols
  • Modular Forms
  • Modular Forms for Hecke Triangle Groups
  • Modular Abelian Varieties
  • Miscellaneous Modular-Form-Related Modules

Miscellaneous Mathematics

Doctesting, Interfaces, Databases, Miscellany

Other

  • History and License

Indices and Tables

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