Sage Reference Manual (PDF version)
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
- Real and Complex Numbers
- Commutative Polynomials
- Power Series and Laurent Series
- Finite Rings and Fields
- \(p\)-adic Numbers
- Noncommutative Polynomials
- Quaternion Algebras
Linear Algebra
Calculus and Analysis
- Symbolic Calculus
- Mathematical Constants
- Elementary and Special Functions
- Asymptotic Expansions
- Numerical Optimization
Probability and Statistics
Mathematical Structures
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, Simplicial Complexes, and Simplicial Sets
- Manifolds and Differential Geometry
- Hyperbolic Geometry
- Parametrized Surfaces
- Knot Theory
Homological Algebra
Number Fields, Function Fields, and Valuations
Number Theory
- Diophantine Approximation
- Quadratic Forms
- \(L\)-Functions
- Arithmetic Subgroups of \({\rm SL}_2(\ZZ)\)
- General Hecke Algebras and Hecke Modules
- Modular Forms
- Modular Symbols
- Modular Abelian Varieties