Lezioni di calcolo differenziale assoluto
E247458
"Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Lezioni di calcolo differenziale assoluto canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2249578 — 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: Lezioni di calcolo differenziale assoluto Context triple: [Tullio Levi-Civita, notableWork, Lezioni di calcolo differenziale assoluto]
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A.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
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B.
Disquisitiones Generales Circa Superficies Curvas
Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
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C.
Réflexions sur la métaphysique du calcul infinitésimal
Réflexions sur la métaphysique du calcul infinitésimal is a foundational 18th-century treatise by Lazare Carnot that examines the philosophical and logical underpinnings of infinitesimal calculus.
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D.
"Invariante Variationsprobleme"
"Invariante Variationsprobleme" is Emmy Noether’s landmark 1918 paper that founded the deep connection between symmetries and conservation laws in physics and the calculus of variations.
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E.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic 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: Lezioni di calcolo differenziale assoluto Target entity description: "Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
-
A.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
-
B.
Disquisitiones Generales Circa Superficies Curvas
Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
-
C.
Réflexions sur la métaphysique du calcul infinitésimal
Réflexions sur la métaphysique du calcul infinitésimal is a foundational 18th-century treatise by Lazare Carnot that examines the philosophical and logical underpinnings of infinitesimal calculus.
-
D.
"Invariante Variationsprobleme"
"Invariante Variationsprobleme" is Emmy Noether’s landmark 1918 paper that founded the deep connection between symmetries and conservation laws in physics and the calculus of variations.
-
E.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
nonfiction book ⓘ textbook ⓘ |
| author | Tullio Levi-Civita ⓘ |
| countryOfOrigin | Italy ⓘ |
| field |
differential geometry
ⓘ
mathematics ⓘ tensor calculus ⓘ theoretical physics ⓘ |
| genre |
mathematics textbook
ⓘ
scientific literature ⓘ |
| hasApplication |
continuum mechanics
ⓘ
general relativity ⓘ geometry ⓘ physics ⓘ |
| historicalSignificance | early comprehensive exposition of tensor calculus ⓘ |
| influenced |
development of modern differential geometry
ⓘ
mathematical formulation of general relativity ⓘ |
| intendedAudience |
advanced mathematics students
ⓘ
physicists ⓘ researchers in differential geometry ⓘ |
| language | Italian ⓘ |
| notableFor |
foundational treatment of tensor calculus
ⓘ
systematic development of absolute differential calculus ⓘ |
| originalTitleLanguage | Italian ⓘ |
| pedagogicalApproach |
rigorous
ⓘ
systematic ⓘ |
| publicationCentury | 20th century ⓘ |
| relatedTo |
Riemannian manifolds
ⓘ
classical field theory ⓘ general covariance ⓘ |
| subject |
Riemannian geometry
ⓘ
absolute differential calculus ⓘ general relativity ⓘ tensor analysis ⓘ |
| topic |
Christoffel symbols
ⓘ
contravariant tensors ⓘ coordinate transformations ⓘ covariant differentiation ⓘ covariant tensors ⓘ curvature tensors ⓘ geodesics ⓘ metric tensor ⓘ tensor operations ⓘ |
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: Lezioni di calcolo differenziale assoluto Description of subject: "Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.