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.

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Predicate Object
instanceOf complex analysis textbook
mathematics textbook
approach rigorous
theorem-proof style
author John B. Conway NERFINISHED
field complex analysis
mathematics
intendedAudience advanced undergraduates
graduate students
language English
level graduate
topic Blaschke products NERFINISHED
Cauchy integral formula NERFINISHED
Cauchy integral theorem NERFINISHED
Dirichlet problem NERFINISHED
Green functions
Hardy spaces NERFINISHED
Hurwitz theorem NERFINISHED
Laurent series NERFINISHED
Mittag-Leffler theorem NERFINISHED
Montel theorem NERFINISHED
Poisson integral formula NERFINISHED
Riemann mapping theorem NERFINISHED
Riemann surfaces NERFINISHED
Rouché theorem NERFINISHED
Runge theorem NERFINISHED
Schwarz lemma NERFINISHED
Weierstrass factorization theorem NERFINISHED
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 NERFINISHED
power series
residue theorem
usedAs graduate course textbook
reference work in complex analysis

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Cauchy integral theorem standardReference Functions of One Complex Variable by John B. Conway