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Viac informácií o knihe Lectures on Complex Analysis

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Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Celý názov: Lectures on Complex Analysis
• Autor: Norbert Steinmetz
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 351
• EAN: 9783032139955
• ID: 50028277
• Nakladateľ: Springer, Berlin
• Hmotnosť: 784 g
• Rozmery: 235 × 155 mm
• Dátum vydania: 13. May 2026

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