Welcome to the Sage Reference Manual¶
This manual contains documentation for (almost) all of Sage’s features, each illustrated with examples that are systematically tested with each release. A thematic index is available below.
User Interface¶
- Command Line Interface (REPL)
- Web Notebook
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
- Finite Rings and Fields
- Polynomials
- Formal Power Series
- p-Adic Numbers
- 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
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 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
Algebraic and Arithmetic Geometry¶
Programming¶
Interfaces¶
- Interpreter Interfaces
- C/C++ Library Interfaces
- Python technicalities
General Information¶
- References
- History and License
- Index
- Module Index
- Search Page
This work is licensed under a Creative Commons Attribution-Share Alike 3.0 License.