Problems and Theorems in Analysis (with George Pólya)

E451541
mathematics book problem book reference work

"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.

Try in SPARQL Jump to: Surface forms Statements Elicitation Referenced by

All labels observed (1)

Label Occurrences
Problems and Theorems in Analysis (with George Pólya) canonical 1

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.

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: 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.

Gábor Szegő → notableWork → Problems and Theorems in Analysis (with George Pólya) ⓘ