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Topics in Complex Analysis

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eBook. ePub

eBook

2022

292 S. 30 b/w and 10 col. ill..

In englischer Sprache

Gruyter, Walter de GmbH. ISBN 978-3-11-075787-3

Das Werk ist Teil der Reihe: de Gruyter Studies in Mathematics

Produktbeschreibung

Complex analysis is found in many areas of applied mathematics, from fluid mechanics, thermodynamics, signal processing, control theory, mechanical and electrical engineering to quantum mechanics, among others. And of course, it is a fundamental branch of pure mathematics. The coverage in this text includes advanced topics that are not always considered in more elementary texts. These topics include, a detailed treatment of univalent functions, harmonic functions, subharmonic and superharmonic functions, Nevanlinna theory, normal families, hyperbolic geometry, iteration of rational functions, and analytic number theory. As well, the text includes in depth discussions of the Dirichlet Problem, Green's function, Riemann Hypothesis, and the Laplace transform. Some beautiful color illustrations supplement the text of this most elegant subject.