List of mathematical objects: Difference between revisions
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=== [[Calculus]] and [[Mathematical Analysis]] === |
=== [[Calculus]] and [[Mathematical Analysis]] === |
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* [[Continuous function |
* [[Continuous function]]s, [[Differentiable function]]s, [[Analytic function]]s |
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* [[Pathological (mathematics)|Pathological functions]] |
* [[Pathological (mathematics)|Pathological functions]] |
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** [[Weierstrass function]] - Commonly used as an example of a continuous, nowhere-differentiable function |
** [[Weierstrass function]] - Commonly used as an example of a continuous, nowhere-differentiable function |
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Revision as of 22:57, 9 October 2024
This is a list of mathematical objects, organized by branch.
List of mathematical objects by branch
- Groups
- Rings, Modules
- monoids
- Fields, Vector spaces
- Algebras
- Chain complexes
- Operations
- group-theoretic lattices, Order-theoretic lattices
- Continuous functions, Differentiable functions, Analytic functions
- Pathological functions
- Weierstrass function - Commonly used as an example of a continuous, nowhere-differentiable function
- Dirichlet function - Commonly used as an example of a nowhere continuous function
- Bump function - Commonly used as an example of a Non-analytic smooth function
- Derivative, Gradient
- Integral
- Jacobian matrix
Categories are simultaneously homes to mathematical objects and mathematical objects in their own right. In proof theory, proofs and theorems are also mathematical objects
- Points, Lines, Line segments,
- Polytopes, Regular polytopes
- Conic sections
- Spheres, Ellipsoids, Paraboloids, Hyperboloids,
- Cylinders, Cones
- Closed sets
- Filters
- Neighborhoods
- Nets
- Open sets
- Topological spaces
- Uniformities
- Manifolds
- Möbius strip, Klein bottle
References
- ^ Hu, Sze-Tsen (1971) [1959]. "Chapter VII. Cohomotopy Groups" (PDF). Homotopy theory (PDF). Academic Press. pp. 205–228. LCCN 59-11526. Retrieved August 28, 2024.