User:Y-S.Ko/Wikipedia course/Mathematics
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Mathematics
[edit]Major mathematics areas | |
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Foundations | |
Algebra | |
Analysis | |
Discrete | |
Geometry | |
Number theory | |
Topology | |
Applied | |
Computational | |
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History
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Discoveries and inventions | ||
Miscellaneous | ||
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Work | |
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Related |
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Abel Prize laureates | |
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Awards of the London Mathematical Society | |
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Nevanlinna Prize winners | |
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Rolf Schock Prize laureates | |
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Logic and philosophy |
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Mathematics |
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Visual arts |
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Musical arts |
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Recipients of the Oswald Veblen Prize in Geometry | |
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Laureates of the Wolf Prize in Mathematics | |
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1970s |
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1980s |
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1990s |
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2000s |
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2010s |
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2020s |
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Philosophy of Mathematics
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General | |||||||||
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Theorems (list) and paradoxes | |||||||||
Logics |
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Set theory |
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Formal systems (list), language and syntax |
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Proof theory | |||||||||
Model theory | |||||||||
Computability theory | |||||||||
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Common logical symbols | |
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Overview | ||
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Axioms | ||
Operations |
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Set types | ||
Theories | ||
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Set theorists |
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Discrete, Algebra
[edit]Areas | |
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Basic concepts | |
Algebraic structures | |
Linear and multilinear algebra | |
Algebraic constructions | |
Topic lists | |
Glossaries | |
Algebraic structures |
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Algebraic structure → Group theory Group theory |
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Basic notions |
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Infinite dimensional Lie group
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Basic notions | |
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Types of groups | |
Discrete groups |
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Lie groups |
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Infinite dimensional groups |
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Basic concepts | ||
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Matrices | ||
Bilinear | ||
Multilinear algebra | ||
Vector space constructions | ||
Numerical | ||
Scope |
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Notation | |||||
Tensor definitions | |||||
Operations | |||||
Related abstractions | |||||
Notable tensors |
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Mathematicians |
Analysis
[edit]Major topics in mathematical analysis | |
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Types of integrals |
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Integration techniques | |
Improper integrals | |
Stochastic integrals | |
Miscellaneous |
History | ||
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Related branches | ||
Formalizations | ||
Individual concepts | ||
Mathematicians | ||
Textbooks |
Precalculus | |||||
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Limits | |||||
Differential calculus |
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Integral calculus | |||||
Vector calculus |
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Multivariable calculus | |||||
Sequences and series |
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Special functions and numbers | |||||
History of calculus | |||||
Lists |
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Miscellaneous topics |
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Basic concepts | |
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Topics (list) | |
Maps | |
Main results (list) | |
Sets | |
Series | |
Duality | |
Applications and related |
Classification |
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Solutions |
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Examples | |||||||
Mathematicians |
Spaces |
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Theorems | |||||
Operators | |||||
Algebras | |||||
Open problems | |||||
Applications | |||||
Advanced topics | |||||
Number
[edit]Fields |
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Key concepts | |
Advanced concepts | |
Classes of natural numbers | |||||||||||||||||||||||||
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2-dimensional |
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3-dimensional |
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4-dimensional |
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Higher dimensional |
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Geometry, Topology
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Four- / other-dimensional |
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Geometers | ||||||||||
by name
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by period
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Trigonometry |
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Reference |
Laws and theorems |
Calculus |
Mathematicians |
Banach space topics | |
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Types of Banach spaces | |
Banach spaces are: | |
Function space Topologies | |
Linear operators | |
Operator theory | |
Theorems |
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Analysis | |
Types of sets |
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Subsets / set operations | |
Examples | |
Applications |
Boundedness and bornology | |
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Basic concepts | |
Operators | |
Subsets | |
Related spaces |
Compact topological surfaces and their immersions in 3D | |||||||
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Without boundary |
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With boundary |
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Related notions |
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Various notions of curvature defined in differential geometry | |
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Differential geometry of curves | |
Differential geometry of surfaces | |
Riemannian geometry | |
Curvature of connections |
Characteristics | |
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Iterated function system | |
Strange attractor | |
L-system | |
Escape-time fractals | |
Rendering techniques | |
Random fractals | |
People | |
Other |
Triangles | |||||||
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Quadrilaterals | |||||||
By number of sides |
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Star polygons | |||||||
Classes |
Listed by number of faces and type | |
1–10 faces | |
11–20 faces | |
>20 faces |
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elemental things |
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convex polyhedron |
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non-convex polyhedron |
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prismatoids |
Basic concepts | |
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Topologies | |
Operators/Maps | |
Theorems |
Topological vector spaces (TVSs) | |
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Basic concepts | |
Main results | |
Maps | |
Types of sets | |
Set operations | |
Types of TVSs |
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Fields | ||
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Key concepts | ||
Metrics and properties | ||
Key results | ||
Applied mathematics
[edit]Part of a series on statistics |
Probability theory |
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Computational |
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Discrete | |||
Analysis | |||
Probability theory | |||
Mathematical physics |
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Decision sciences | |||
Other applications | |||
Related | |||
Organizations | |||
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Note: This template roughly follows the 2012 ACM Computing Classification System. | |
Hardware | |
Computer systems organization | |
Networks | |
Software organization | |
Software notations and tools | |
Software development | |
Theory of computation | |
Algorithms | |
Mathematics of computing | |
Information systems |
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Security | |
Human–computer interaction | |
Concurrency | |
Artificial intelligence | |
Machine learning | |
Graphics | |
Applied computing |
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Considered feasible | |
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Suspected infeasible | |
Considered infeasible | |
Class hierarchies | |
Families of classes | |
Conway's Game of Life and related cellular automata | |
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Structures | |
Life variants | |
Concepts | |
Implementations | |
Key people | |
Websites | |
Popular culture |
Terms in graph theory | |
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Types of graphs | |
Graph elements | |
Graph attributes | |
See also
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