Concept information
Preferred term
differential algebra
Definition
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In mathematics, differential algebra is, broadly speaking, the area of mathematics consisting in the study of differential equations and differential operators as algebraic objects in view of deriving properties of differential equations and operators without computing the solutions, similarly as polynomial algebras are used for the study of algebraic varieties, which are solution sets of systems of polynomial equations. Weyl algebras and Lie algebras may be considered as belonging to differential algebra.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Differential_algebra)
Broader concept
Narrower concepts
- algebraic differential equation
- deformation
- derivation
- differential algebraic geometry
- differential Galois theory
- differential graded algebra
- differential ideal
- dual number
- Faà di Bruno's formula
- Hasse derivative
- Janet basis
- Kähler differential
- Lie algebra
- Liouvillian function
- p-derivation
- Picard-Vessiot theory
- Pincherle derivative
- Risch algorithm
- symbolic integration
- Weyl algebra
- Zariski tangent space
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-RXQC777M-K
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