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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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發(fā)表于 2025-3-21 16:50:25 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Complex Analysis
編輯Serge Lang
視頻videohttp://file.papertrans.cn/232/231358/231358.mp4
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Complex Analysis;  Serge Lang Textbook 1993Latest edition Springer-Verlag GmbH Germany, part of Springer Nature 1993 Complex analysis.Merom
描述The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor‘s fancy at the time as well as extra read- ing material for students on their own. A large number of routine exer- cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to lookthrough them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the po
出版日期Textbook 1993Latest edition
關(guān)鍵詞Complex analysis; Meromorphic function; calculus; convergence; differential equation; elliptic function; i
版次3
doihttps://doi.org/10.1007/978-3-642-59273-7
isbn_ebook978-3-642-59273-7Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag GmbH Germany, part of Springer Nature 1993
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:18:53 | 只看該作者
板凳
發(fā)表于 2025-3-22 04:04:05 | 只看該作者
Das Sprachenrecht der Eidgenossenschaftrve and it is useful to have an adjective to distinguish the two notions. For simplicity, however, one usually omits the word “direct” if no confusion can result from this omission. If a direct analytic continuation exists as above, then there is is unique analytic function . on . ∪ . such that . on . and . on ..
地板
發(fā)表于 2025-3-22 04:41:50 | 只看該作者
Analytic Continuation Along Curvesrve and it is useful to have an adjective to distinguish the two notions. For simplicity, however, one usually omits the word “direct” if no confusion can result from this omission. If a direct analytic continuation exists as above, then there is is unique analytic function . on . ∪ . such that . on . and . on ..
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https://doi.org/10.1007/978-3-540-26542-9rly, 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 have similar properties to the functions of a real variable which you already know.
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發(fā)表于 2025-3-22 20:20:41 | 只看該作者
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發(fā)表于 2025-3-23 01:05:03 | 只看該作者
Theoretische Grundlagen des Sprachenrechts accumulation in . ∩ ., then an analytic continuation of . to . ∪ . is uniquely determined. Indeed, if . is analytic on . and . = . on . ∩ ., then . is the only such function by Theorem 1.2 of Chapter III.
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發(fā)表于 2025-3-23 05:02:16 | 只看該作者
Das Sprachenrecht der Eidgenossenschaftof their zeros, just as a polynomial factors into linear factors determined by its zeros. We develop an additive theory for meromorphic functions, in terms of their principal part (polar part) at the poles.
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發(fā)表于 2025-3-23 05:47:54 | 只看該作者
Power Seriesrly, 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 have similar properties to the functions of a real variable which you already know.
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