Topics in Complex Analysis (de Gruyter Studies in Mathematics #88) (Hardcover)

Topics in Complex Analysis (de Gruyter Studies in Mathematics #88) By Joel L. Schiff Cover Image

Topics in Complex Analysis (de Gruyter Studies in Mathematics #88) (Hardcover)

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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.

Joel L. Schiff, University of Auckland, New Zealand.
Product Details ISBN: 9783110757699
ISBN-10: 3110757699
Publisher: de Gruyter
Publication Date: October 24th, 2022
Pages: 292
Language: English
Series: de Gruyter Studies in Mathematics