Concept information
Terme préférentiel
real analysis
Définition
-
In mathematics, the branch of real analysis studies the behavior of real numbers, sequences and series of real numbers, and real functions. Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability. Real analysis is distinguished from complex analysis, which deals with the study of complex numbers and their functions.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Real_analysis)
Concept générique
Concepts spécifiques
- absolute continuity
- asymptotic expansion
- chain rule
- continued fraction
- continuity
- Darboux integral
- extended real number line
- extreme value theorem
- Faà di Bruno's formula
- Fermat's theorem
- hypograph
- intermediate value theorem
- Lebesgue integral
- L'Hôpital's rule
- mean value theorem
- moment problem
- multiple integral
- Plancherel-Rotach asymptotics
- real-valued function
- Riemann integral
- Sard's theorem
- singularity
- squeeze theorem
- stationary point
- Steffensen's inequality
Traductions
-
français
URI
http://data.loterre.fr/ark:/67375/PSR-SKTRS1V0-R
{{label}}
{{#each values }} {{! loop through ConceptPropertyValue objects }}
{{#if prefLabel }}
{{/if}}
{{/each}}
{{#if notation }}{{ notation }} {{/if}}{{ prefLabel }}
{{#ifDifferentLabelLang lang }} ({{ lang }}){{/ifDifferentLabelLang}}
{{#if vocabName }}
{{ vocabName }}
{{/if}}