Introduction to the Study of Integral Equations
E599703
"Introduction to the Study of Integral Equations" is a foundational mathematical text by Maxime Bôcher that systematically develops the theory and applications of integral equations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Introduction to the Study of Integral Equations canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6606126 — 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: Introduction to the Study of Integral Equations Context triple: [Maxime Bôcher, notableWork, Introduction to the Study of Integral Equations]
-
A.
The Fourier Integral and Certain of Its Applications
The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
-
B.
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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C.
Gelfand–Levitan theory
Gelfand–Levitan theory is a foundational framework in inverse spectral theory that reconstructs differential operators or potentials from their spectral data using integral equations.
-
D.
Methods of Mathematical Physics
Methods of Mathematical Physics is a classic two-volume textbook by Richard Courant and David Hilbert that rigorously develops the mathematical foundations and techniques used in theoretical physics.
-
E.
Hadamard’s example of ill-posed problems
Hadamard’s example of ill-posed problems is a classical mathematical construction illustrating how small changes in input data can cause large, unstable changes in solutions, thereby violating the standard criteria for well-posedness in analysis and partial differential equations.
- 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: Introduction to the Study of Integral Equations Target entity description: "Introduction to the Study of Integral Equations" is a foundational mathematical text by Maxime Bôcher that systematically develops the theory and applications of integral equations.
-
A.
The Fourier Integral and Certain of Its Applications
The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
-
B.
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.
-
C.
Gelfand–Levitan theory
Gelfand–Levitan theory is a foundational framework in inverse spectral theory that reconstructs differential operators or potentials from their spectral data using integral equations.
-
D.
Methods of Mathematical Physics
Methods of Mathematical Physics is a classic two-volume textbook by Richard Courant and David Hilbert that rigorously develops the mathematical foundations and techniques used in theoretical physics.
-
E.
Hadamard’s example of ill-posed problems
Hadamard’s example of ill-posed problems is a classical mathematical construction illustrating how small changes in input data can cause large, unstable changes in solutions, thereby violating the standard criteria for well-posedness in analysis and partial differential equations.
- F. None of above. chosen
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics book ⓘ textbook ⓘ |
| academicDiscipline | pure mathematics ⓘ |
| author | Maxime Bôcher ⓘ |
| covers |
Fredholm integral equations
ⓘ
Volterra integral equations ⓘ existence and uniqueness of solutions ⓘ linear integral equations ⓘ methods of solving integral equations ⓘ |
| field |
functional analysis
ⓘ
integral equations ⓘ mathematics ⓘ |
| focus |
foundational aspects of integral equations
ⓘ
mathematical applications ⓘ rigorous development of theory ⓘ |
| genre |
academic text
ⓘ
reference work ⓘ |
| hasAuthor | Maxime Bôcher ⓘ |
| hasForm | printed book ⓘ |
| intendedAudience |
advanced undergraduates
ⓘ
graduate students ⓘ research mathematicians ⓘ |
| language | English ⓘ |
| relatedTo |
differential equations
ⓘ
mathematical physics ⓘ operator theory ⓘ |
| structure | systematic exposition ⓘ |
| topic |
applications of integral equations
ⓘ
theory of integral equations ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Introduction to the Study of Integral Equations Description of subject: "Introduction to the Study of Integral Equations" is a foundational mathematical text by Maxime Bôcher that systematically develops the theory and applications of integral equations.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.