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Lectures on Complex Analysis - Norbert Steinmetz

Anglų
2026-05-29
94,60 € 126,13 €

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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 i ... Visas aprašymas

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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 Cauchy–Kovalevskaya theorem; an introduction to the theory of normal families, including Zalcman's lemma; a proof of the Paley–Wiener theorem; a complete discussion of the Laguerre–Pólya 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.

Daugiau informacijos

Autorius Norbert Steinmetz
Leidėjas Springer Nature Switzerland AG
Išleidimo metai 2026
Viršelio tipas Kieti viršeliai
EAN 9783032139955
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94,60 € 126,13 €