Problems and Theorems in Analysis (with George Pólya)
E451541
"Problems and Theorems in Analysis (with George Pólya)" is a classic two-volume collection of challenging problems and results in mathematical analysis that has become a standard reference and training resource for advanced students and researchers.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Problems and Theorems in Analysis (with George Pólya) canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4552576 — 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.
Target entity: Problems and Theorems in Analysis (with George Pólya) Context triple: [Gábor Szegő, notableWork, Problems and Theorems in Analysis (with George Pólya)]
-
A.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
-
B.
Hilbert’s twenty-second problem
Hilbert’s twenty-second problem is one of David Hilbert’s famous list of 23 problems, concerning the uniformization of analytic relations and the representation of multi-valued analytic functions by single-valued ones on suitable Riemann surfaces.
-
C.
Hilbert’s twenty-third problem
Hilbert’s twenty-third problem is one of David Hilbert’s famous list of unsolved problems, focusing on the further development and systematic application of the calculus of variations.
-
D.
An Introduction to the Theory of Numbers
An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
-
E.
A Course of Pure Mathematics
A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Problems and Theorems in Analysis (with George Pólya) Target entity description: "Problems and Theorems in Analysis (with George Pólya)" is a classic two-volume collection of challenging problems and results in mathematical analysis that has become a standard reference and training resource for advanced students and researchers.
-
A.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
-
B.
Hilbert’s twenty-second problem
Hilbert’s twenty-second problem is one of David Hilbert’s famous list of 23 problems, concerning the uniformization of analytic relations and the representation of multi-valued analytic functions by single-valued ones on suitable Riemann surfaces.
-
C.
Hilbert’s twenty-third problem
Hilbert’s twenty-third problem is one of David Hilbert’s famous list of unsolved problems, focusing on the further development and systematic application of the calculus of variations.
-
D.
An Introduction to the Theory of Numbers
An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
-
E.
A Course of Pure Mathematics
A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
problem book ⓘ reference work ⓘ |
| author |
George Pólya
NERFINISHED
ⓘ
Gábor Szegő NERFINISHED ⓘ |
| countryOfOrigin | Germany ⓘ |
| feature |
detailed solutions
ⓘ
emphasis on problem-solving techniques ⓘ large collection of problems ⓘ theorem statements with applications ⓘ |
| firstPublicationCentury | 20th century ⓘ |
| genre | mathematics textbook ⓘ |
| hasPart |
Problems and Theorems in Analysis I: Series, Integral Calculus, Theory of Functions
NERFINISHED
ⓘ
Problems and Theorems in Analysis II: Theory of Functions, Zeros, Polynomials, Determinants, Number Theory NERFINISHED ⓘ |
| intendedAudience |
advanced undergraduate students
ⓘ
graduate students ⓘ research mathematicians ⓘ |
| language |
English
ⓘ
German ⓘ |
| mathematicalDiscipline |
analysis
ⓘ
classical analysis ⓘ complex function theory ⓘ real function theory ⓘ |
| notableFor |
influence on generations of analysts
ⓘ
training in mathematical problem solving ⓘ |
| numberOfVolumes | 2 ⓘ |
| originalTitle | Aufgaben und Lehrsätze aus der Analysis NERFINISHED ⓘ |
| pedagogicalApproach |
heuristic reasoning
ⓘ
learning through problem solving ⓘ |
| relatedWork |
How to Solve It
NERFINISHED
ⓘ
Mathematical Discovery NERFINISHED ⓘ |
| status | classic in mathematical literature ⓘ |
| subject |
Fourier series
ⓘ
approximation theory ⓘ complex analysis ⓘ entire functions ⓘ functional equations ⓘ inequalities ⓘ mathematical analysis ⓘ real analysis ⓘ sequences ⓘ series ⓘ special functions ⓘ |
| usedAs |
standard reference in analysis
ⓘ
training resource for mathematical competitions ⓘ |
| volume |
Problems and Theorems in Analysis I
NERFINISHED
ⓘ
Problems and Theorems in Analysis II NERFINISHED ⓘ |
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.
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.
Subject: Problems and Theorems in Analysis (with George Pólya) Description of subject: "Problems and Theorems in Analysis (with George Pólya)" is a classic two-volume collection of challenging problems and results in mathematical analysis that has become a standard reference and training resource for advanced students and researchers.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.