Disquisitiones Arithmeticae
E29358
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
Aliases (2)
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
book
→
mathematical treatise → non-fiction book → number theory work → |
| author |
Carl Friedrich Gauss
→
|
| countryOfOrigin |
Holy Roman Empire
→
|
| describedAs |
foundational treatise on number theory
→
|
| discusses |
Diophantine equations
→
composition of forms → cyclotomic equations → prime numbers → quadratic non-residues → quadratic residues → representation of numbers by quadratic forms → |
| field |
mathematics
→
|
| genre |
scientific literature
→
|
| hasInfluencedPerson |
André Weil
→
David Hilbert → Ernst Kummer → Leopold Kronecker → Richard Dedekind → |
| hasLatinTitle |
Disquisitiones Arithmeticae
→
|
| hasPart |
Book I
→
Book II → Book III → Book IV → Book V → Book VI → |
| influenced |
19th-century mathematics
→
algebraic number theory → modern number theory → |
| introducedConcept |
Legendre symbol notation refinement
→
congruence modulo n → |
| mainSubject |
number theory
→
|
| notableFor |
classification of quadratic forms
→
development of quadratic reciprocity → introduction of congruence notation → systematic development of number theory → theory of binary quadratic forms → work on cyclotomic fields → |
| originalLanguage |
Latin
→
|
| publicationCentury |
19th century
→
|
| publicationYear |
1801
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|
| titleLanguage |
Latin
→
|
| translatedInto |
English
→
French → German → |
Referenced by (4)
| Subject (surface form when different) | Predicate |
|---|---|
|
Gauss’s lemma (number theory)
("Gauss’s Disquisitiones Arithmeticae")
→
|
appearsIn |
|
Disquisitiones Arithmeticae
→
|
hasLatinTitle |
|
construction of the regular 17-gon with straightedge and compass
("Gauss's Disquisitiones Arithmeticae")
→
|
isDescribedIn |
|
Carl Friedrich Gauss
→
|
notableWork |