User:Tompw/maths templates

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Intro[edit]

All created 09-Oct-06

Note: What is shown here are *not* the templates. They are copies of the tenplates when I created them. If you edit the templtates, the chanegs won't show here. Please edit the actual template rather than this page. The templates proper can be accessed via the "Navigation boxes" links of the top box. Tompw 22:07, 9 October 2006 (UTC)

Maths nav boxes that currently exsist:


Mathematics[edit]

Version 1:

Major fields of Mathematics

LogicSet theoryAlgebraNumber theoryAnalysisGeometryTopology
Applied mathematicsProbabilityStatisticsMathematical physics

Category theoryAbstract algebraLinear algebraAlgebraic structuresAlgebraic number theoryNumbers
Analytic number theoryCalculusReal analysisComplex analysisDynamical systemsOperator theory
Representation theoryAlgebraic geometryEuclidean geometryNon-Euclidean geometryDifferential geometry
Geometric topologyPoint set topologyAlgebraic topologyDiscrete mathematicsNumerical analysis

See also: PortalAreas of mathematicsHistory of mathematicsMathematical notationList of mathematical lists

Navigation boxes: Foundations - Algebra - Number theory - Analysis - Geometry - Topology - Applied


Version 2:

Major fields of Mathematics

LogicSet theoryAlgebraNumber theoryAnalysisGeometryTopology
Applied mathematicsProbabilityStatisticsMathematical physics

See also: PortalAreas of mathematicsHistory of mathematicsMathematical notationList of mathematical lists

Foundations[edit]


Major topics in Foundations of Mathematics

Mathematical logic: Peano axiomsMathematical inductionAxiomatic systemMathematical proof
Model theoryMathematical constructivismModal logicList of mathematical logic topics

Set theory: SetNaive set theoryAxiomatic set theoryZermelo set theoryZermelo-Fraenkel set theory
Descriptive set theoryDeterminacyRussell's paradoxList of set theory topics

Category theory: CategoryType theoryTopos theoryGlossary of category theoryList of category theory topics

Algebra[edit]


Major topics in Algebra

Elementary algebraAbstract algebraCommutative algebraOrder theoryCategory theoryK-theory

Algebraic structures: Group - Group theoryRing - Ring theoryField - Field theoryUniversal algebra

Linear algebra: Matrix - Matrix theoryVector - Vector spaceInner product - Inner product spaceHilbert space

Lists: Abstract algebra topicsAlgebraic structuresGroup theory topicsLinear algebra topics
Glossaries: Field theoryGroup theoryLinear algrebraRing theory

Number theory[edit]


Major topics in Number theory

Algebraic number theoryAnalytic number theoryGeometric number theoryComputational number theory

NumberssNatural numbersPrime numbersRational numbersIrrational numberAlgebraic numbersTranscendental numberArithmeticModular arithmeticArithmetic functions

Quadratic formsL-functionsDiophantine equationsDiophantine approximationContinued fraction

List of recreational number theory topicsList of number theory topics

Analysis[edit]


Major topics in Analysis

Calculus: IntegrationDifferentiationDifferential equationsFundamental theorem of calculusCalculus of variationsVector calculusTensor calculusList of integralsTable of derivatives

Real analysisComplex analysisFunctional analysisFourier analysisMeasure theoryRepresentation theory
FunctionsContinuous functionSpecial functionsLimitSeriesInfinity

Geometry[edit]

Major revision: 10-Oct-06 - Diff


Major topics in Geometry

Euclidean geometry: CombinatorialConvexDiscretePlane geometrySolid geometry
Non-Euclidean geometry: EllipticParabolicHyperbolicSymplecticSphericalAffineProjectiveRiemannian

TrigonometryLie groupsAlgebraic geometryDifferential geometry
List of mathematical shapesList of geometry topicsList of differential geometry topics

Topology[edit]


Major topics in Topology

Topological spacesGeneral (point set) topologyAlgebraic topologyHomology theoryCohomology theory
Differential topologyGeometric topologyCombinatorial topology

Open set, closed setContinuityCompact spaceUniform spacesMetric spacesHausdorff space
Homotopy theoryHomotopy groupsFundamental groupSimplicial complexesCW complexes
Exact sequenceHomological algebraK-theory

Glossary of general topologyList of general topology topicsList of algebraic topology topicsCategory:Topology


Applied[edit]


Major topics in Applied mathematics

Discrete mathematics: CombinatoricsGraph theoryGame theoryDiscrete geometryTheoretical computer scienceComputability theoryComplexity theoryInformation theory

ProbabilityProbability distributionProbability theoryStatisticsStochastic processOperations researchStochastic processes

Numerical analysisMathematical biologyOptimizationDynamical systemsChaos theoryFinancial mathematicsCryptography