passagemath-categories

========================================================================= passagemath: Sage categories, basic rings, polynomials, functions

About SageMath

"Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB"

Copyright (C) 2005-2024 The Sage Development Team

https://www.sagemath.org

SageMath fully supports all major Linux distributions, recent versions of macOS, and Windows (Windows Subsystem for Linux).

See https://doc.sagemath.org/html/en/installation/index.html for general installation instructions.

About this pip-installable distribution package

The pip-installable distribution package sagemath-categories is a distribution of a small part of the Sage Library.

It provides a small subset of the modules of the Sage library ("sagelib", sagemath-standard) that is a superset of sagemath-objects (providing Sage objects, the element/parent framework, categories, the coercion system and the related metaclasses), making various additional categories available without introducing dependencies on additional mathematical libraries.

What is included

• Structure <https://doc.sagemath.org/html/en/reference/structure/index.html>, Coercion framework <https://doc.sagemath.org/html/en/reference/coercion/index.html>, Base Classes, Metaclasses <https://doc.sagemath.org/html/en/reference/misc/index.html#special-base-classes-decorators-etc>_

• Categories and functorial constructions <https://doc.sagemath.org/html/en/reference/categories/index.html>_

• Sets <https://doc.sagemath.org/html/en/reference/sets/index.html>_

• Basic Combinatorial and Data Structures: Binary trees <https://doc.sagemath.org/html/en/reference/data_structures/sage/misc/binary_tree.html>, Bitsets <https://doc.sagemath.org/html/en/reference/data_structures/sage/data_structures/bitset.html>, Permutations <https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/permutation.html>_, Combinations

• Basic Rings and Fields: Integers, Rationals <https://doc.sagemath.org/html/en/reference/rings_standard/index.html>, Double Precision Reals <https://doc.sagemath.org/html/en/reference/rings_numerical/sage/rings/real_double.html>, Z/nZ <https://doc.sagemath.org/html/en/reference/finite_rings/sage/rings/finite_rings/integer_mod_ring.html>_

• Commutative Polynomials <https://doc.sagemath.org/html/en/reference/polynomial_rings/index.html>, Power Series and Laurent Series <https://doc.sagemath.org/html/en/reference/power_series/index.html>, Rational Function Fields <https://doc.sagemath.org/html/en/reference/function_fields/index.html>_

• Arithmetic Functions, Elementary and Special Functions <https://doc.sagemath.org/html/en/reference/functions/index.html>_ as generic entry points

• Base classes for Groups, Rings, Finite Fields <https://doc.sagemath.org/html/en/reference/finite_rings/sage/rings/finite_rings/finite_field_constructor.html>, Number Fields <https://doc.sagemath.org/html/en/reference/number_fields/sage/rings/number_field/number_field_base.html>, Schemes <https://doc.sagemath.org/html/en/reference/schemes/index.html>_

• Facilities for Parallel Computing <https://doc.sagemath.org/html/en/reference/parallel/index.html>, Formatted Output <https://doc.sagemath.org/html/en/reference/misc/index.html#formatted-output>

Available in other distribution packages

• sagemath-combinat <https://pypi.org/project/sagemath-combinat>_: Algebraic combinatorics, combinatorial representation theory

• sagemath-graphs <https://pypi.org/project/sagemath-graphs>_: Graphs, posets, hypergraphs, designs, abstract complexes, combinatorial polyhedra, abelian sandpiles, quivers

• sagemath-groups <https://pypi.org/project/sagemath-groups>_: Groups, invariant theory

• sagemath-modules <https://pypi.org/project/sagemath-modules>_: Vectors, matrices, tensors, vector spaces, affine spaces, modules and algebras, additive groups, quadratic forms, root systems, homology, coding theory, matroids

• sagemath-plot <https://pypi.org/project/sagemath-plot>_: Plotting and graphics with Matplotlib, Three.JS, etc.

• sagemath-polyhedra <https://pypi.org/project/sagemath-polyhedra>_: Convex polyhedra in arbitrary dimension, triangulations, polyhedral fans, lattice points, geometric complexes, hyperplane arrangements

• sagemath-repl <https://pypi.org/project/sagemath-repl>_: IPython REPL, the interactive language of SageMath (preparser), interacts, development tools

• sagemath-schemes <https://pypi.org/project/sagemath-schemes>_: Schemes, varieties, Groebner bases, elliptic curves, algebraic Riemann surfaces, modular forms, arithmetic dynamics

• sagemath-symbolics <https://pypi.org/project/sagemath-symbolics>_: Symbolic expressions, calculus, differentiable manifolds, asymptotics

Dependencies

When building from source, development packages of gmp, mpfr, and mpc are needed.