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Geometric calculus

In mathematics, geometric calculus extends geometric algebra to include differentiation and integration. The formalism is powerful and can be shown to reproduce other mathematical theories including vector calculus, differential geometry, and differential forms.

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Overview

Differentiation

Integration

Covariant derivative

Relation to differential geometry

Relation to differential forms

References and further reading

  • ISBN ISBN (identifier)
  • OCLC OCLC (identifier)

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Map overview Semantic statistics

Geometric calculus

Nodes50
Edges49
Triples15
Avg. degree1.96
Density0.04
Components1

How this topic connects Entity context

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Geometric calculus

Top relations

related to Fundamental theorem of geometric calculus · 7
Geometric calculus → AI, As, Let, Stokes, The, Then, We
related to References and further reading · 7
Geometric calculus → Alan, Charleston, CreateSpace, ISBN, Macdonald, OCLC, Vector
related to history · 1
Geometric calculus → Following

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Important terminology

displaystyle derivative nabla vector partial vectors manifold cdot geometric multivector basis wedge calculus product directional define begin aligned end mathsf

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Geometric calculusrelated to Fundamental theorem of geometric calculusThe0.60section
Geometric calculusrelated to Fundamental theorem of geometric calculusStokes0.60section
Geometric calculusrelated to Fundamental theorem of geometric calculusLet0.60section
Geometric calculusrelated to Fundamental theorem of geometric calculusThen0.60section
Geometric calculusrelated to Fundamental theorem of geometric calculusAs0.60section
Geometric calculusrelated to Fundamental theorem of geometric calculusAI0.60section
Geometric calculusrelated to Fundamental theorem of geometric calculusWe0.60section
Geometric calculusrelated to historyFollowing0.60section
Geometric calculusrelated to References and further readingMacdonald0.60section
Geometric calculusrelated to References and further readingAlan0.60section
Geometric calculusrelated to References and further readingVector0.60section
Geometric calculusrelated to References and further readingCharleston0.60section

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