Difference between revisions of "Real analysis"
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* [[Continuity]] (including the Hölder/Lipschitz definitions) | * [[Continuity]] (including the Hölder/Lipschitz definitions) | ||
| − | * [[ | + | * [[Derivative]] (the limit definition) |
| − | * [[ | + | * [[Integral]] (including multivariate integrals) |
== Important theorems == | == Important theorems == | ||
Revision as of 22:47, 11 September 2020
Real analysis is the formal study of calculus using mathematical proofs.
Notions
- Continuity (including the Hölder/Lipschitz definitions)
- Derivative (the limit definition)
- Integral (including multivariate integrals)
Important theorems
- Fundamental Theorem of Calculus (integration and differentiation are inverses)
- Green's Theorem (integration over a region equals integration over the region's boundary)
See also
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