Number Theory: An Approach through History from Hammurapi to Legendre
E244841
"Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Number Theory: An Approach through History from Hammurapi to Legendre canonical | 2 |
| From Hammurapi to Legendre | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2228033 — 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: Number Theory: An Approach through History from Hammurapi to Legendre Context triple: [André Weil, notableWork, Number Theory: An Approach through History from Hammurapi to Legendre]
-
A.
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.
-
B.
The Higher Arithmetic
The Higher Arithmetic is a classic introductory textbook on number theory, widely regarded for its clear exposition and influence on generations of mathematicians.
-
C.
Unsolved Problems in Number Theory
*Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
-
D.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
-
E.
Multiplicative Number Theory
Multiplicative Number Theory is a branch of analytic number theory that studies arithmetic functions and prime number distributions through their multiplicative properties and associated Dirichlet series.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Number Theory: An Approach through History from Hammurapi to Legendre Target entity description: "Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
-
A.
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.
-
B.
The Higher Arithmetic
The Higher Arithmetic is a classic introductory textbook on number theory, widely regarded for its clear exposition and influence on generations of mathematicians.
-
C.
Unsolved Problems in Number Theory
*Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
-
D.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
-
E.
Multiplicative Number Theory
Multiplicative Number Theory is a branch of analytic number theory that studies arithmetic functions and prime number distributions through their multiplicative properties and associated Dirichlet series.
- F. None of above. chosen
Statements (32)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
history of mathematics book ⓘ mathematics book ⓘ non-fiction book ⓘ |
| author | André Weil ⓘ |
| chronologicalScopeEnd | early 19th century ⓘ |
| chronologicalScopeStart | ancient Mesopotamia ⓘ |
| countryOfOrigin |
United States of America
ⓘ
surface form:
United States
|
| coversPeriod |
ancient Mesopotamia
ⓘ
early 19th century ⓘ |
| educationalUse |
reference for courses in history of mathematics
ⓘ
reference for courses in number theory ⓘ |
| field |
history
ⓘ
mathematics ⓘ |
| focusesOn |
classical results in number theory
ⓘ
evolution of number-theoretic ideas ⓘ |
| genre |
expository mathematics
ⓘ
history of mathematics ⓘ |
| hasContributor | André Weil ⓘ |
| hasPerspective | historical approach to number theory ⓘ |
| intendedAudience |
historians of mathematics
ⓘ
mathematicians ⓘ students of mathematics ⓘ |
| language | English ⓘ |
| mainSubject |
history of number theory
ⓘ
number theory ⓘ |
| mentionsHistoricalFigure |
Adrien-Marie Legendre
ⓘ
Hammurabi ⓘ
surface form:
Hammurapi
|
| narrativeFocus | development of number theory ⓘ |
| structure | historical and expository ⓘ |
| subtitle |
Number Theory: An Approach through History from Hammurapi to Legendre
self-linksurface differs
ⓘ
surface form:
From Hammurapi to Legendre
|
| title | Number Theory: An Approach through History from Hammurapi to Legendre self-link ⓘ |
How these facts were elicited
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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: Number Theory: An Approach through History from Hammurapi to Legendre Description of subject: "Number Theory: An Approach through History from Hammurapi to Legendre" is a historical and expository book by André Weil that traces the development of number theory from ancient Mesopotamia to the early 19th century.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.