Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable |
Contents
COMPLEX NUMBERS | 1 |
The Geometric Representation of Complex Numbers | 12 |
The Spherical Representation | 18 |
Copyright | |
28 other sections not shown
Other editions - View all
Common terms and phrases
analytic function angle apply arbitrary assume axis boundary bounded branch called choose circle clear closed curve coefficients compact complex conclude condition connected consequence consider constant contains continuous convergence corresponding defined definition denote derivative determined differential direct disk elements equal equation EXERCISES exists expression fact finite follows formula given half plane harmonic hence holds identically imaginary implies important inequality infinite instance integral interval limit linear transformation mapping maximum means multiple neighborhood notation obtain open sets origin period poles polynomial positive possible principle proof prove radius of convergence reason region represented respect result roots satisfies segment sequence simple singularity solution space subset sufficient Suppose tends theorem tion uniquely vanishes whole write zero