Titlebook: Complex Analysis; Taras Mel‘nyk Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature

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https://doi.org/10.1007/978-3-031-39615-1functions of a complex variable; conformal mappings; analytic functions; power series; meromorphic funct

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978-3-031-39617-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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rcisesToday, the theory of complex-valued functions finds widespread applications in various areas of mathematical research, as well as in electrical and mechanical engineering, aeronautics, and other disciplines. Complex analysis has become a basic course in mathematics, physics, and select enginee

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https://doi.org/10.57088/978-3-7329-8944-7ns in the vector space . (Sect. 1.5). The novel notion of the stereographic projection in Sect. 1.2 provides a geometric interpretation of the extended complex plane. Complex-valued functions of a real variable and various curves in the complex plane are considered in more detail in Sects. 1.3 and 1.4, respectively.

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Salim: „Ich bin der Vermittler.“ncept of a Riemann surface for multivalued functions and show how to construct Riemann surfaces for the inverses of elementary analytic functions. As a result of these studies, we will establish facts that are incorrect in real analysis, for example, we can calculate the logarithm of negative numbers and solve the equation

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Elementary Analytic Functions,ncept of a Riemann surface for multivalued functions and show how to construct Riemann surfaces for the inverses of elementary analytic functions. As a result of these studies, we will establish facts that are incorrect in real analysis, for example, we can calculate the logarithm of negative numbers and solve the equation

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