Cours d’Analyse

E239299
mathematician mathematics textbook treatise on mathematical analysis

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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All labels observed (4)

Label Occurrences
Cours d’Analyse canonical 2
Cours d’Analyse de l’École Royale Polytechnique 1
Résumé des leçons sur le calcul infinitésimal 1

Statements (41)

Predicate Object
instanceOf mathematician ⓘ
mathematics textbook ⓘ
treatise on mathematical analysis ⓘ
approach epsilon-style rigor precursor ⓘ
author Augustin-Louis Cauchy ⓘ
authorInstanceOf Augustin-Louis Cauchy ⓘ
citedAs one of the first rigorous analysis textbooks ⓘ
containsTopic continuity of functions ⓘ
differential calculus ⓘ
integral calculus ⓘ
limits of functions ⓘ
series ⓘ
theory of functions of a real variable ⓘ
countryOfOrigin France ⓘ
field calculus ⓘ
mathematical analysis ⓘ
mathematical analysis ⓘ
real analysis ⓘ
firstPublicationYear 1821 ⓘ
hasPart volume on algebraic analysis ⓘ
volume on infinitesimal calculus ⓘ
historicalPeriod early 19th century mathematics ⓘ
historicalSignificance helped formalize the foundations of analysis in the 19th century ⓘ
impactOnEducation standard reference for analysis instruction in 19th-century Europe ⓘ
influenced development of modern analysis ⓘ
later textbooks in analysis ⓘ
rigorous foundations of calculus ⓘ
intendedAudience advanced mathematics students ⓘ
students of the École Polytechnique ⓘ
methodologicalFeature definition-based treatment of fundamental concepts ⓘ
notableFor early formalization of real analysis ⓘ
rigorous development of limits ⓘ
rigorous treatment of continuity ⓘ
systematic use of infinitesimal calculus with rigor ⓘ
originalLanguage French ⓘ
placeOfPublication Paris ⓘ
publicationCentury 19th century ⓘ
publisher Debure frères ⓘ
shortTitle Cours d’Analyse self-link ⓘ
title Cours d’Analyse self-linksurface differs ⓘ
surface form: Cours d’Analyse de l’École Royale Polytechnique
usedAt École Polytechnique ⓘ

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: Cours d’Analyse
Description of subject: 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.

Referenced by (5)

Full triples — surface form annotated when it differs from this entity's canonical label.

Augustin-Louis Cauchy → notableWork → Cours d’Analyse ⓘ
Augustin-Louis Cauchy → notableWork → Cours d’Analyse ⓘ
this entity surface form: Résumé des leçons sur le calcul infinitésimal
Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe → contributedTo → Cours d’Analyse ⓘ
this entity surface form: foundations of real analysis
Cours d’Analyse → title → Cours d’Analyse self-linksurface differs ⓘ
this entity surface form: Cours d’Analyse de l’École Royale Polytechnique
Cours d’Analyse → shortTitle → Cours d’Analyse self-link ⓘ