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Titlebook: Complex Analysis; Serge Lang Textbook 1993Latest edition Springer-Verlag GmbH Germany, part of Springer Nature 1993 Complex analysis.Merom

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樓主: deliberate
41#
發(fā)表于 2025-3-28 15:47:19 | 只看該作者
Der italienischsprachige Kanton Tessinmbers. We come back to analysis. We shall give various applications of the fact that the derivative of an analytic function can be expressed as an integral. This is completely different from real analysis, where the derivative of a real function often is less differentiable than the function itself.
42#
發(fā)表于 2025-3-28 22:46:30 | 只看該作者
Theoretische Grundlagen des Sprachenrechtsn 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 . is analytic on . and . = . on . ∩ ., then . i
43#
發(fā)表于 2025-3-29 00:14:09 | 只看該作者
44#
發(fā)表于 2025-3-29 06:23:47 | 只看該作者
45#
發(fā)表于 2025-3-29 09:15:54 | 只看該作者
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.
46#
發(fā)表于 2025-3-29 14:53:11 | 只看該作者
47#
發(fā)表于 2025-3-29 16:34:11 | 只看該作者
Das Sprachenrecht der Eidgenossenschafte 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.
48#
發(fā)表于 2025-3-29 23:18:17 | 只看該作者
49#
發(fā)表于 2025-3-30 00:27:04 | 只看該作者
Power Seriesrincipal 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 they
50#
發(fā)表于 2025-3-30 07:13:37 | 只看該作者
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