Lectures on Complex Analysis - Norbert Steinmetz

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Lectures on Complex Analysis

By: Norbert Steinmetz

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Hardcover | 9 June 2026

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Format
Hardcover

Dimensions(cm)
23.5 x 15.5

Hardcover

$152.75

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This elegant textbook offers a comprehensive course on one-dimensional complex analysis. It includes many topics that, in this scope, are not covered in most other textbooks, such as a detailed investigation of the Schwarzian derivative and its associated differential equation, with applications to conformal mappings of circular polygons; various proofs of the uniformisation theorem for planar domains; an introduction to the theory of ordinary differential equations in the complex domain, culminating in a proof of the Cauchyâ"Kovalevskaya theorem; an introduction to the theory of normal families, including Zalcman's lemma; a proof of the Paleyâ"Wiener theorem; a complete discussion of the Laguerreâ"P³lya class; solution of the Dirichlet problem, with special emphasis on harmonic measure and Green's function, and applications to conformal mappings of multiply connected domains; a detailed description of the dynamics of polynomials; and the consistent use of the theory of proper mappings whenever possible.

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