| 書目名稱 | Complex Variables | | 副標題 | An Introduction | | 編輯 | Carlos A. Berenstein,Roger Gay | | 視頻video | http://file.papertrans.cn/232/231602/231602.mp4 | | 概述 | Reprint of a successful, proven work * Gives an overview of the basic properties of holomorphic functions of one complex variable *.To further illiminate the material, a large number of exercises of d | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant‘s Funktionentheorie or Jordan‘s Cours d‘Analyse in our courses. The last two decades have seen a significant change in the techniques used in the theory of functions of one complex variable. The important role played by the inhomogeneous Cauchy-Riemann equation in the current research has led to the reunification, at least in their spirit, of complex analysis in one and in several variables. We say reunification since we think that Weierstrass, Poincare, and others (in contrast to many of our students) did not consider them to be entirely separate subjects. Indeed, not only complex analysis in several variables, but also number theory, harmonic analysis, and other branches of mathematics, both pure and applied, have required a reconsidera- tion of analytic continuation, ordinary differential equations in | | 出版日期 | Textbook 1991 | | 關鍵詞 | Residue theorem; Riemann surface; Riemann surfaces; Smooth function; differential calculus; differential | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-3024-3 | | isbn_softcover | 978-1-4612-7765-1 | | isbn_ebook | 978-1-4612-3024-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag New York Inc. 1991 |
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