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.
User Interfaces
Graphics
Mathematics
Parents and Categories
Basic Rings and Fields
-   Integers and Rational Numbers Integers and Rational Numbers
-   Real and Complex Numbers Real and Complex Numbers
-   Commutative Polynomials Commutative Polynomials
-   Power Series and Laurent Series Power Series and Laurent Series
-   Finite Rings and Fields Finite Rings and Fields
-   \(p\)-adic Numbers \(p\)-adic Numbers
-   Noncommutative Polynomials Noncommutative Polynomials
-   Quaternion Algebras Quaternion Algebras
Linear Algebra
-   Matrices and Spaces of Matrices Matrices and Spaces of Matrices
-   Vectors and Modules Vectors and Modules
-   Tensors on Free Modules of Finite Rank Tensors on Free Modules of Finite Rank
-   Modules over Ore rings Modules over Ore rings
Calculus and Analysis
-   Symbolic Calculus Symbolic Calculus
-   Mathematical Constants Mathematical Constants
-   Elementary and Special Functions Elementary and Special Functions
-   Asymptotic Expansions Asymptotic Expansions
-   Numerical Optimization Numerical Optimization
Probability and Statistics
Mathematical Structures
Discrete Mathematics
-   Combinatorics Combinatorics
-   Graph Theory Graph Theory
-   Quivers Quivers
-   Matroid Theory Matroid Theory
-   Discrete Dynamics Discrete Dynamics
-   Coding Theory Coding Theory
-   Cryptography Cryptography
-   Game Theory Game Theory
-   Symbolic Logic Symbolic Logic
-   SAT solvers SAT solvers
Geometry and Topology
-   Euclidean Spaces and Vector Calculus Euclidean Spaces and Vector Calculus
-   Combinatorial and Discrete Geometry Combinatorial and Discrete Geometry
-   Cell Complexes, Simplicial Complexes, and Simplicial Sets Cell Complexes, Simplicial Complexes, and Simplicial Sets
-   Manifolds and Differential Geometry Manifolds and Differential Geometry
-   Hyperbolic Geometry Hyperbolic Geometry
-   Parametrized Surfaces Parametrized Surfaces
-   Knot Theory Knot Theory
Homological Algebra
Number Fields, Function Fields, and Valuations
Number Theory
-   Diophantine Approximation Diophantine Approximation
-   Quadratic Forms Quadratic Forms
-   \(L\)-Functions \(L\)-Functions
-   Arithmetic Subgroups of \({\rm SL}_2(\ZZ)\) Arithmetic Subgroups of \({\rm SL}_2(\ZZ)\)
-   General Hecke Algebras and Hecke Modules General Hecke Algebras and Hecke Modules
-   Modular Forms Modular Forms
-   Modular Symbols Modular Symbols
-   Modular Abelian Varieties Modular Abelian Varieties