Complex Analysis
Jane P. Gilman, Rubi Rodriguez, Irwin Kra, et al.
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Naturwissenschaften, Medizin, Informatik, Technik / Analysis
Beschreibung
The authors’ aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.
Kundenbewertungen
complex analysis, hyperbolic geometry, Cauchy theory, Green's function, analytic functions, complex power series, Dirichlet problem, Riemann Mapping Theorem, conformal equivalence, holomorphic functions, harmonic functions