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

作者: T-cell    時間: 2025-3-21 17:36
書目名稱Complex Analysis影響因子(影響力)




書目名稱Complex Analysis影響因子(影響力)學科排名




書目名稱Complex Analysis網(wǎng)絡公開度




書目名稱Complex Analysis網(wǎng)絡公開度學科排名




書目名稱Complex Analysis被引頻次




書目名稱Complex Analysis被引頻次學科排名




書目名稱Complex Analysis年度引用




書目名稱Complex Analysis年度引用學科排名




書目名稱Complex Analysis讀者反饋




書目名稱Complex Analysis讀者反饋學科排名





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Salim: ?Ich bin der Vermittler.“ to construct a bijective conformal mapping from one domain onto another in the complex plane. In this chapter we study how to construct such bijective conformal mappings. We will consider various elementary analytic functions, find domains of univalence and images of these domains. In addition, for
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Sprachen – Sprachmittlung – Integrationger .. These series were introduced by the French mathematician Pierre Laurent (1813–1854) in 1843. Laurent series are a valuable tool for studying the behavior of analytic functions near their isolated singularities, a classification of which is given here. It is noteworthy that, knowing the behavi
作者: 有斑點    時間: 2025-3-23 02:30

作者: Heretical    時間: 2025-3-23 05:42
Sprachen — Zuordnung — Strukturennalytic functions, namely the possibility of continuing an analytic function from the domain in which it is defined to a larger one. An important property of the analytic continuation procedure is that it is unique. In essence, this means that knowing the values of an analytic function in a small do
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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
作者: 賄賂    時間: 2025-3-23 19:03
978-3-031-39617-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
作者: 以煙熏消毒    時間: 2025-3-24 00:15
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
作者: 殺子女者    時間: 2025-3-24 04:58
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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作者: 使高興    時間: 2025-3-24 14:19
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
作者: 不理會    時間: 2025-3-24 16:37
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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Integration of Functions of a Complex Variable,an antiderivative along a curve and study its properties. We will also show that the beauty of complex integration also goes far beyond real analysis and prove very important and interesting theorems.
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Laurent Series: Isolated Singularities of Analytic Functions,ger .. These series were introduced by the French mathematician Pierre Laurent (1813–1854) in 1843. Laurent series are a valuable tool for studying the behavior of analytic functions near their isolated singularities, a classification of which is given here. It is noteworthy that, knowing the behavi
作者: 使出神    時間: 2025-3-27 02:46
Residue Calculus, singularities. In this chapter, we will illustrate this claim with examples of integral calculations. It turns out that in order to calculate the integral of an analytic function along a curve, it is necessary to determine some values, called ., of that function at its singularities. The reader can
作者: 宴會    時間: 2025-3-27 05:21
Analytic Continuations,nalytic functions, namely the possibility of continuing an analytic function from the domain in which it is defined to a larger one. An important property of the analytic continuation procedure is that it is unique. In essence, this means that knowing the values of an analytic function in a small do
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作者: vibrant    時間: 2025-3-27 13:56
Textbook 2023, the Lagrange–Bürmann formula, and Puiseux series..Drawing from several decades of teaching experience, this book is ideally suited for one or two semester courses in complex analysis. It also serves as a valuable companion for courses in topology, approximation theory, asymptotic analysis, and fun
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作者: duplicate    時間: 2025-3-27 23:22
https://doi.org/10.57088/978-3-7329-9013-9at are responsible for its zeros. The theory also supplies a ready-made framework for counting zeros and poles of a given meromorphic function or zeros of an analytic function, in particular, we prove the argument principle and Rouché’s theorem.
作者: 玩忽職守    時間: 2025-3-28 02:41
Sprachen — Zuordnung — Strukturenlued function, and under which conditions the newly extended function is single-valued. Along the way we will be introduced to various continuation techniques and other fundamental concepts of complex analysis such as monodromy, global analytic functions, their singularities and Riemann surfaces.
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作者: 泛濫    時間: 2025-3-28 13:58
heorem, the Lagrange–Bürmann formula, and Puiseux series..Drawing from several decades of teaching experience, this book is ideally suited for one or two semester courses in complex analysis. It also serves as a valuable companion for courses in topology, approximation theory, asymptotic analysis, and fun978-3-031-39617-5978-3-031-39615-1
作者: Longitude    時間: 2025-3-28 15:37
Analytic Functions,s values on arbitrary sets that have a limit point inside. These functions are of great importance both in various branches of mathematics and in many applications. The study of their properties is the main goal of complex analysis. In this section, we prove a criterion for the differentiability of
作者: tangle    時間: 2025-3-28 19:48
Residue Calculus,at are responsible for its zeros. The theory also supplies a ready-made framework for counting zeros and poles of a given meromorphic function or zeros of an analytic function, in particular, we prove the argument principle and Rouché’s theorem.
作者: atopic    時間: 2025-3-29 01:01
Analytic Continuations,lued function, and under which conditions the newly extended function is single-valued. Along the way we will be introduced to various continuation techniques and other fundamental concepts of complex analysis such as monodromy, global analytic functions, their singularities and Riemann surfaces.
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Günter Kirschlingve transformation” is compatible in most respects with a control approach, but (a) adds specificity regarding mechanisms underlying change, (b) explains some of control theory’s negative cases, and (c) seems to have a particularly good fit with the life course challenges facing contemporary serious
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