.. _reference-manual: (PDF version)

* Command Line Interface * `Jupyter Notebook Interface `_

Graphics ========

* 2D Graphics * 3D Graphics

Mathematics ===========

Parents and Categories ----------------------

* Parents and Elements * Coercion * Categories

Basic Rings and Fields ----------------------

* Integers and Rational Numbers * Real and Complex Numbers * Commutative Polynomials * Power Series and Laurent Series * Finite Rings and Fields * \\(p\\)-adic Numbers * Noncommutative Polynomials * Quaternion Algebras

Linear Algebra --------------

* Matrices and Spaces of Matrices * Vectors and Modules * Tensors on Free Modules of Finite Rank

Calculus and Analysis ---------------------

* Symbolic Calculus * Mathematical Constants * Elementary and Special Functions * Asymptotic Expansions * Numerical Optimization

Probability and Statistics --------------------------

* Probability * Statistics * Quantitative Finance

Mathematical Structures -----------------------

* Sets * Monoids * Groups * Semirings * Rings * Algebras

Discrete Mathematics --------------------

* Combinatorics * Graph Theory * Quivers * Matroid Theory * Discrete Dynamics * Coding Theory * Cryptography * Game Theory * Symbolic Logic * SAT solvers

Geometry and Topology ---------------------

* Euclidean Spaces and Vector Calculus * Combinatorial and Discrete Geometry * Cell Complexes and their Homology * Manifolds and Differential Geometry * Hyperbolic Geometry * Parametrized Surfaces * Knot Theory

Number Fields, Function Fields, and Valuations ----------------------------------------------

* Number Fields * Function Fields * Discrete Valuations

Number Theory -------------

* Diophantine approximation * Quadratic Forms * \\(L\\)-Functions * Arithmetic Subgroups of \\({\\rm SL}_2(\\ZZ)\\) * General Hecke Algebras and Hecke Modules * Modular Symbols * Modular Forms * Modular Forms for Hecke Triangle Groups * Modular Abelian Varieties * Miscellaneous Modular-Form-Related Modules

Algebraic and Arithmetic Geometry --------------------------------- * Schemes * Plane and Space Curves * Elliptic and Hyperelliptic Curves

Miscellaneous -------------

* Databases * Games

Programming ===========

Facilities ----------

* Data Structures * Utilities * Test Framework * Parallel Computing

Interfaces ----------

* Interpreter Interfaces * C/C++ Library Interfaces * Python Technicalities

General Information ===================

* External Packages * Bibliographic References * History and License

Indices and Tables ==================

* :ref:`genindex` * :ref:`modindex` * :ref:`search`

Table of Contents

  • Sage Reference Manual
  • Welcome to the Sage reference manual. Here you find documentation for all of `Sage `_'s features, illustrated with lots of examples. A thematic index follows. This documentation is licensed under the `Creative Commons Attribution-Share Alike 3.0 License`__:math:`.` __ http://creativecommons.org/licenses/by-sa/3.0/ User Interfaces ===============
  • Command Line Interface
  • `Jupyter Notebook Interface `_ Graphics ========
  • 2D Graphics
  • 3D Graphics Mathematics ===========

Parents and Categories

Basic Rings and Fields

Linear Algebra

Calculus and Analysis

Probability and Statistics

Mathematical Structures

Discrete Mathematics

Geometry and Topology

Number Fields, Function Fields, and Valuations

Number Theory

Algebraic and Arithmetic Geometry

Miscellaneous

Facilities

Interfaces