Functions of One Complex Variable by John B. Conway
E827206
*Functions of One Complex Variable* by John B. Conway is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to complex analysis.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Functions of One Complex Variable by John B. Conway canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9843585 — 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: Functions of One Complex Variable by John B. Conway Context triple: [Cauchy integral theorem, standardReference, Functions of One Complex Variable by John B. Conway]
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A.
Schaum's Outline of Complex Variables
Schaum's Outline of Complex Variables is a widely used study guide that provides concise explanations and numerous solved problems to help students learn and practice complex analysis.
-
B.
Complex Analysis
Complex Analysis is a classic, widely used textbook that provides a rigorous introduction to the theory of functions of a complex variable.
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C.
Several Complex Variables
"Several Complex Variables" is a foundational mathematical text that systematically develops the theory of functions of several complex variables and has significantly influenced modern complex analysis.
-
D.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
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E.
Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential 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: Functions of One Complex Variable by John B. Conway Target entity description: *Functions of One Complex Variable* by John B. Conway is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to complex analysis.
-
A.
Schaum's Outline of Complex Variables
Schaum's Outline of Complex Variables is a widely used study guide that provides concise explanations and numerous solved problems to help students learn and practice complex analysis.
-
B.
Complex Analysis
Complex Analysis is a classic, widely used textbook that provides a rigorous introduction to the theory of functions of a complex variable.
-
C.
Several Complex Variables
"Several Complex Variables" is a foundational mathematical text that systematically develops the theory of functions of several complex variables and has significantly influenced modern complex analysis.
-
D.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
-
E.
Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
complex analysis textbook
ⓘ
mathematics textbook ⓘ |
| approach |
rigorous
ⓘ
theorem-proof style ⓘ |
| author | John B. Conway ⓘ |
| field |
complex analysis
ⓘ
mathematics ⓘ |
| intendedAudience |
advanced undergraduates
ⓘ
graduate students ⓘ |
| language | English ⓘ |
| level | graduate ⓘ |
| topic |
Blaschke products
ⓘ
Cauchy integral formula ⓘ Cauchy integral theorem ⓘ Dirichlet problem ⓘ Green functions ⓘ Hardy spaces ⓘ
linked to:
Hardy space
Hurwitz theorem ⓘ Laurent series ⓘ Mittag-Leffler theorem ⓘ Montel theorem ⓘ Poisson integral formula ⓘ
linked to:
Poisson integral
Riemann mapping theorem ⓘ Riemann surfaces ⓘ Rouché theorem ⓘ
linked to:
Rouché's theorem
Runge theorem ⓘ
linked to:
Runge approximation theorem
Schwarz lemma ⓘ Weierstrass factorization theorem ⓘ analytic continuation ⓘ analytic functions ⓘ bounded analytic functions ⓘ conformal mappings ⓘ entire functions ⓘ harmonic functions ⓘ harmonic measure ⓘ holomorphic functions ⓘ isolated singularities ⓘ maximum modulus principle ⓘ maximum principle ⓘ meromorphic functions ⓘ normal families ⓘ open mapping theorem ⓘ power series ⓘ residue theorem ⓘ |
| usedAs |
graduate course textbook
ⓘ
reference work in complex analysis ⓘ |
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: Functions of One Complex Variable by John B. Conway Description of subject: *Functions of One Complex Variable* by John B. Conway is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to complex analysis.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.