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Topics in Complex Analysis

Topics in Complex Analysis

Hardcover

Series: de Gruyter Studies in Mathematics, Book 88

General Mathematics

ISBN10: 3110757699
ISBN13: 9783110757699
Publisher: De Gruyter
Published: Oct 24 2022
Pages: 292
Weight: 1.46
Height: 0.69 Width: 6.69 Depth: 9.61
Language: English

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.

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General Mathematics