Statements (101)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:academic
|
| gptkbp:fieldOfStudy |
gptkb:mathematics
|
| gptkbp:focusesOn |
gptkb:book_series
continuity differentiation integration measure theory real numbers sequences limits functions of a real variable |
| gptkbp:hasConcept |
gptkb:Abel's_test
gptkb:Baire_category_theorem gptkb:Urysohn's_lemma gptkb:Intermediate_Value_Theorem gptkb:Borel_sets gptkb:Banach_spaces gptkb:Hausdorff_measure gptkb:Hilbert_spaces gptkb:Weierstrass_approximation_theorem gptkb:Fatou's_lemma gptkb:Fubini's_theorem gptkb:Lebesgue_integral gptkb:Riesz_representation_theorem gptkb:Riemann_integral gptkb:Mean_Value_Theorem gptkb:Arzelà–Ascoli_theorem gptkb:Bolzano-Weierstrass_theorem gptkb:Borel-Cantelli_lemma gptkb:Dini's_theorem gptkb:Dominated_Convergence_Theorem gptkb:Hahn-Banach_theorem gptkb:Heine-Borel_theorem gptkb:Monotone_Convergence_Theorem gptkb:Radon-Nikodym_theorem gptkb:Stone-Weierstrass_theorem gptkb:Vitali_covering_theorem gptkb:Taylor_series gptkb:Cantor_set gptkb:Dirichlet's_test cardinality Fourier series completeness differentiation theory sigma-algebra Cauchy sequence Jordan measure boundedness compactness limit point triangle inequality oscillation power series real line intervals L^p spaces density connectedness differentiable functions open sets function spaces infimum supremum epsilon-delta definition integration theory measurable functions metric spaces improper integrals outer measure uniform continuity measures closed sets differentiation under the integral sign monotonicity absolute continuity absolute convergence absolute integrability absolute value accumulation point almost everywhere bounded variation cluster point conditional convergence convergent sequence countable sets divergent sequence isolated point null sets partial sum pointwise convergence series convergence subsequence uncountable sets uniform convergence |
| https://www.w3.org/2000/01/rdf-schema#label |
Real Analysis
|
| gptkbp:relatedTo |
gptkb:topology
complex analysis functional analysis |
| gptkbp:bfsParent |
gptkb:Serge_Lang
gptkb:Tufts_University_Department_of_Mathematics |
| gptkbp:bfsLayer |
6
|