******** (PDF version)

* Command Line Interface (REPL) * Web Notebook

Graphics ========

* 2D Graphics * 3D Graphics

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

Parents, Elements and Categories --------------------------------

* Basic Infrastructure * Coercion * Categories * Base Classes for Rings and Related Objects

Standard Rings and Fields -------------------------

* Integers, Rationals, etc. * Real and Complex Numbers * Finite Rings and Fields * Algebraic Numbers * Polynomials * Formal Power Series * Function Fields * p-Adic Numbers * Quaternion Algebras

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

* Matrices and Spaces of Matrices * Vectors and Modules * Tensors on free modules of finite rank

Other Algebraic Structures --------------------------

* Monoids * Groups * Semirings * Algebras

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

* Combinatorics * Graph Theory * Quivers * Matroid Theory * Discrete Dynamics * Coding Theory * Game Theory

Calculus --------

* Symbolic Calculus * Mathematical Constants * Elementary and Special Functions * Asymptotic Expansions (experimental)

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

* Combinatorial and Discrete Geometry * Hyperbolic Geometry * Cell Complexes and their Homology * Differential Forms * Manifolds * Parametrized Surfaces * Knot Theory

Number Theory, Algebraic Geometry ---------------------------------

* Diophantine approximation * 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

Logic -----

* Symbolic Logic * SAT solvers

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

* Probability * Statistics * Quantitative Finance

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

* Cryptography * Numerical Optimization * Databases * Games

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

* Data Structures * Utilities * Test Framework * Parallel Computing

Interfaces ----------

* Interpreter Interfaces * C/C++ Library Interfaces

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

* References * History and License * :ref:`genindex` * :ref:`modindex` * :ref:`search`

This work is licensed under a Creative Commons Attribution-Share Alike 3.0 License.

Table of Contents

    e to Sage's Reference Manual! This manual 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! User Interface ==============
  • Command Line Interface (REPL)
  • Web Notebook Graphics ========
  • 2D Graphics
  • 3D Graphics Mathematics ===========

Parents, Elements and Categories

Standard Rings and Fields

Linear Algebra

Other Algebraic Structures

Discrete Mathematics

Calculus

Geometry and Topology

Number Theory, Algebraic Geometry

Logic

Probability and Statistics

Miscellaneous

Interfaces