Theory of the Integral
E1285448
UNEXPLORED
Theory of the Integral is a classic mathematical monograph that systematically develops the theory of integration, particularly Lebesgue integration, and has been influential in real analysis.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Theory of the Integral canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T17735974 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Theory of the Integral Context triple: [Stanisław Saks, notableWork, Theory of the Integral]
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A.
Foundations of Modern Analysis
Foundations of Modern Analysis is a classic graduate-level textbook that systematically develops modern mathematical analysis using rigorous, abstract methods and functional analysis.
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B.
Henstock–Kurzweil integral
The Henstock–Kurzweil integral is a highly general integration theory that extends and refines the Riemann integral, capable of integrating a broader class of functions while retaining many of the intuitive properties of Riemann integration.
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C.
Harmonic Integrals in the Theory of Analytic Functions
"Harmonic Integrals in the Theory of Analytic Functions" is a foundational mathematical work by Kunihiko Kodaira that develops the theory of harmonic integrals and lays groundwork for modern complex analysis and complex geometry.
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D.
Theory of Linear Operations
Theory of Linear Operations is a foundational 1932 monograph by Stefan Banach that systematically developed functional analysis and the theory of Banach spaces.
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E.
Singular Integrals and Differentiability Properties of Functions
"Singular Integrals and Differentiability Properties of Functions" is a landmark mathematical monograph by Elias M. Stein that developed the modern theory of singular integral operators and their role in harmonic analysis and differentiability.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Theory of the Integral Target entity description: Theory of the Integral is a classic mathematical monograph that systematically develops the theory of integration, particularly Lebesgue integration, and has been influential in real analysis.
-
A.
Foundations of Modern Analysis
Foundations of Modern Analysis is a classic graduate-level textbook that systematically develops modern mathematical analysis using rigorous, abstract methods and functional analysis.
-
B.
Henstock–Kurzweil integral
The Henstock–Kurzweil integral is a highly general integration theory that extends and refines the Riemann integral, capable of integrating a broader class of functions while retaining many of the intuitive properties of Riemann integration.
-
C.
Harmonic Integrals in the Theory of Analytic Functions
"Harmonic Integrals in the Theory of Analytic Functions" is a foundational mathematical work by Kunihiko Kodaira that develops the theory of harmonic integrals and lays groundwork for modern complex analysis and complex geometry.
-
D.
Theory of Linear Operations
Theory of Linear Operations is a foundational 1932 monograph by Stefan Banach that systematically developed functional analysis and the theory of Banach spaces.
-
E.
Singular Integrals and Differentiability Properties of Functions
"Singular Integrals and Differentiability Properties of Functions" is a landmark mathematical monograph by Elias M. Stein that developed the modern theory of singular integral operators and their role in harmonic analysis and differentiability.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.