Graduate Texts in Mathematics
E621110
Graduate Texts in Mathematics is a renowned series of advanced mathematics textbooks published by Springer, widely used for graduate-level study and reference across many areas of pure and applied mathematics.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Graduate Texts in Mathematics canonical | 8 |
| Graduate Texts in Mathematics series contributions | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6833998 — 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: Graduate Texts in Mathematics Context triple: [Categories for the Working Mathematician, series, Graduate Texts in Mathematics]
-
A.
Princeton Mathematical Series
Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
-
B.
Annals of Mathematics Studies
Annals of Mathematics Studies is a renowned monograph series in advanced mathematics published by Princeton University Press, featuring influential works across a wide range of mathematical fields.
-
C.
Categories for the Working Mathematician
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
-
D.
Memoirs of the American Mathematical Society
Memoirs of the American Mathematical Society is a monograph series featuring long, research-level works in pure and applied mathematics.
-
E.
Cambridge Tracts in Mathematics and Mathematical Physics
Cambridge Tracts in Mathematics and Mathematical Physics is a long-running monograph series published by Cambridge University Press that presents concise, research-level expositions on advanced topics in mathematics and mathematical physics.
- 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: Graduate Texts in Mathematics Target entity description: Graduate Texts in Mathematics is a renowned series of advanced mathematics textbooks published by Springer, widely used for graduate-level study and reference across many areas of pure and applied mathematics.
-
A.
Princeton Mathematical Series
Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
-
B.
Annals of Mathematics Studies
Annals of Mathematics Studies is a renowned monograph series in advanced mathematics published by Princeton University Press, featuring influential works across a wide range of mathematical fields.
-
C.
Categories for the Working Mathematician
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
-
D.
Memoirs of the American Mathematical Society
Memoirs of the American Mathematical Society is a monograph series featuring long, research-level works in pure and applied mathematics.
-
E.
Cambridge Tracts in Mathematics and Mathematical Physics
Cambridge Tracts in Mathematics and Mathematical Physics is a long-running monograph series published by Cambridge University Press that presents concise, research-level expositions on advanced topics in mathematics and mathematical physics.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book series
ⓘ
textbook series ⓘ |
| abbreviation | GTM ⓘ |
| countryOfPublication |
Germany
ⓘ
United States ⓘ
linked to:
United States of America
|
| educationalLevel |
advanced undergraduate
ⓘ
graduate ⓘ |
| field | mathematics ⓘ |
| hasCharacteristic |
problem sets in many volumes
ⓘ
uniform yellow cover design ⓘ |
| hasFormat |
eBook
ⓘ
hardcover ⓘ |
| hasVolume |
A Course in Arithmetic by Jean-Pierre Serre
ⓘ
linked to:
A Course in Arithmetic
Algebra by Serge Lang ⓘ Algebraic Topology by Allen Hatcher ⓘ
linked to:
"Algebraic Topology"
An Introduction to Probability Theory and Its Applications (GTM edition) by William Feller ⓘ Differential Topology by Victor Guillemin and Alan Pollack ⓘ Functional Analysis by Walter Rudin ⓘ Introduction to Automata Theory, Languages, and Computation (GTM-related volume in some catalogs) ⓘ Introduction to Lie Algebras and Representation Theory by James E. Humphreys ⓘ Introduction to Smooth Manifolds by John M. Lee ⓘ
linked to:
J. Lee, Introduction to Smooth Manifolds
Linear Algebraic Groups by Armand Borel ⓘ Measure Theory by Paul R. Halmos ⓘ Real and Complex Analysis by Walter Rudin ⓘ Riemannian Manifolds: An Introduction to Curvature by John M. Lee ⓘ |
| intendedAudience |
graduate students
ⓘ
research mathematicians ⓘ |
| intendedUse |
graduate-level study
ⓘ
reference ⓘ |
| language | English ⓘ |
| notableFor |
comprehensive coverage of graduate mathematics
ⓘ
rigorous exposition ⓘ |
| publisher |
Springer
ⓘ
Springer-Verlag ⓘ
linked to:
Springer
|
| publisherImprint |
Springer Berlin Heidelberg
ⓘ
linked to:
Springer
Springer New York ⓘ
linked to:
Springer
|
| seriesType | graduate-level text ⓘ |
| timePeriod |
20th century
ⓘ
21st century ⓘ |
| topic |
algebra
ⓘ
analysis ⓘ differential geometry ⓘ dynamical systems ⓘ functional analysis ⓘ geometry ⓘ number theory ⓘ partial differential equations ⓘ probability theory ⓘ topology ⓘ |
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: Graduate Texts in Mathematics Description of subject: Graduate Texts in Mathematics is a renowned series of advanced mathematics textbooks published by Springer, widely used for graduate-level study and reference across many areas of pure and applied mathematics.
Referenced by (9)
Full triples — surface form annotated when it differs from this entity's canonical label.