Vector Analysis (with Edwin Bidwell Wilson)
E517573
Vector Analysis (with Edwin Bidwell Wilson) is a foundational early 20th-century textbook that systematically developed the modern formalism of vector calculus and helped standardize its use in physics and engineering.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Vector Analysis (with Edwin Bidwell Wilson) canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5390034 — 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: Vector Analysis (with Edwin Bidwell Wilson) Context triple: [Josiah Willard Gibbs, notableWork, Vector Analysis (with Edwin Bidwell Wilson)]
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A.
The Mathematical Theory of Relativity
The Mathematical Theory of Relativity is Arthur Stanley Eddington’s influential 1923 exposition that systematically presented and popularized Einstein’s general theory of relativity for the scientific community.
-
B.
Elements of Analytical Geometry and of the Differential and Integral Calculus
Elements of Analytical Geometry and of the Differential and Integral Calculus is a 19th-century mathematics textbook that systematically introduces analytic geometry alongside the fundamentals of differential and integral calculus.
-
C.
A Treatise on Electricity and Magnetism
A Treatise on Electricity and Magnetism is James Clerk Maxwell’s foundational 19th-century work that systematically formulated the classical theory of electromagnetism, including the famous Maxwell’s equations.
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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.
Geometrical Methods of Mathematical Physics
Geometrical Methods of Mathematical Physics is a widely used textbook that introduces the differential geometric foundations underlying modern theoretical physics, including topics such as manifolds, tensors, and symmetries.
- 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: Vector Analysis (with Edwin Bidwell Wilson) Target entity description: Vector Analysis (with Edwin Bidwell Wilson) is a foundational early 20th-century textbook that systematically developed the modern formalism of vector calculus and helped standardize its use in physics and engineering.
-
A.
The Mathematical Theory of Relativity
The Mathematical Theory of Relativity is Arthur Stanley Eddington’s influential 1923 exposition that systematically presented and popularized Einstein’s general theory of relativity for the scientific community.
-
B.
Elements of Analytical Geometry and of the Differential and Integral Calculus
Elements of Analytical Geometry and of the Differential and Integral Calculus is a 19th-century mathematics textbook that systematically introduces analytic geometry alongside the fundamentals of differential and integral calculus.
-
C.
A Treatise on Electricity and Magnetism
A Treatise on Electricity and Magnetism is James Clerk Maxwell’s foundational 19th-century work that systematically formulated the classical theory of electromagnetism, including the famous Maxwell’s 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.
Geometrical Methods of Mathematical Physics
Geometrical Methods of Mathematical Physics is a widely used textbook that introduces the differential geometric foundations underlying modern theoretical physics, including topics such as manifolds, tensors, and symmetries.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
textbook ⓘ vector calculus textbook ⓘ |
| author | Edwin Bidwell Wilson ⓘ |
| basedOnWorkBy | Josiah Willard Gibbs ⓘ |
| contributedTo | acceptance of vector methods over quaternions in physics ⓘ |
| countryOfPublication |
United States
ⓘ
linked to:
United States of America
|
| field |
applied mathematics
ⓘ
mathematical physics ⓘ vector calculus ⓘ |
| hasFormat | print ⓘ |
| hasInfluenceOn | modern vector calculus textbooks ⓘ |
| historicalSignificance | early standard reference for vector methods ⓘ |
| influenced |
20th-century physics education
ⓘ
engineering curricula ⓘ |
| influencedBy | lectures of Josiah Willard Gibbs ⓘ |
| language | English ⓘ |
| notableFor |
standardizing vector notation in physics and engineering
ⓘ
systematic development of vector calculus formalism ⓘ |
| pedagogicalStyle |
rigorous treatment of vector operations
ⓘ
systematic exposition ⓘ |
| publicationCentury | 20th century ⓘ |
| publisher | Yale University Press ⓘ |
| subject |
Green's theorem
ⓘ
Stokes' theorem ⓘ applications to engineering ⓘ applications to physics ⓘ curl ⓘ divergence ⓘ divergence theorem ⓘ
linked to:
Gauss’s law
gradient ⓘ line integrals ⓘ surface integrals ⓘ vector algebra ⓘ vector differentiation ⓘ vector integration ⓘ vectors ⓘ volume integrals ⓘ |
| targetAudience |
advanced undergraduates
ⓘ
engineers ⓘ graduate students in physics ⓘ |
| timePeriod | early 20th century ⓘ |
| usedIn |
engineering courses
ⓘ
physics courses ⓘ university mathematics courses ⓘ |
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: Vector Analysis (with Edwin Bidwell Wilson) Description of subject: Vector Analysis (with Edwin Bidwell Wilson) is a foundational early 20th-century textbook that systematically developed the modern formalism of vector calculus and helped standardize its use in physics and engineering.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.