inundate 发表于 2025-3-25 03:57:37

Complex Numbers and Functionse rational numbers have a solution in real numbers. For instance, .. = 2 is such an equation. However, we also know some equations having no solution in real numbers, for instance .. = −1, or .. = −2. We define a new kind of number where such equations have solutions. The new kind of numbers will be called . numbers.

GLIB 发表于 2025-3-25 11:21:38

Schwarz Reflection on . ⋃ .. The process of extending . in this way is called .. If ., . are connected, and have in common an infinite set of points which have a point of accumulation in ., then an analytic continuation of . to . is uniquely determined. Indeed, if . analytic on . and . on ., then . the only such function by Theorem 1.2 of Chapter III.

legacy 发表于 2025-3-25 13:47:40

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斜坡 发表于 2025-3-25 19:45:38

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Armory 发表于 2025-3-25 21:10:09

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允许 发表于 2025-3-26 02:03:36

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净礼 发表于 2025-3-26 06:09:15

Graduate Texts in Mathematicshttp://image.papertrans.cn/c/image/231354.jpg

LIMIT 发表于 2025-3-26 11:28:38

Perspektiven der Kognitiven Linguistik,e rational numbers have a solution in real numbers. For instance, .. = 2 is such an equation. However, we also know some equations having no solution in real numbers, for instance .. = −1, or .. = −2. We define a new kind of number where such equations have solutions. The new kind of numbers will be

Fraudulent 发表于 2025-3-26 14:29:16

Ist das nicht alles das Gleiche?,rincipal ways will be by means of power series. Thus we shall see that the series . converges for all . to define a function which is equal to ... Similarly, we shall extend the values of sin . and cos . by their usual series to complex valued functions of a complex variable, and we shall see that t

adroit 发表于 2025-3-26 20:45:39

https://doi.org/10.1007/978-3-658-28341-4perties of paths: (1) properties of homotopy, and (2) properties having to do with integration, relating to the number of times a curve “winds” around a point, as we already saw when we evaluated the integral.along a circle centered at .. These properties are of course related, but they also exist i
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查看完整版本: Titlebook: Complex Analysis; Serge Lang Textbook 1999Latest edition Springer Science+Business Media New York 1999 Cauchy‘s integral formula.Complex a