| 书目名称 | Complex Analysis |
| 编辑 | Joseph Bak,Donald J. Newman |
| 视频video | http://file.papertrans.cn/232/231342/231342.mp4 |
| 概述 | The solution of the cubic equation and Newton‘s method for approximating the zeroes of any polynomial.Expanded treatments of the Schwarz reflection principle and of the mapping properties of analytic |
| 丛书名称 | Undergraduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | Beginning with the ?rst edition of Complex Analysis, we have attempted to present the classical and beautiful theory of complex variables in the clearest and most intuitive form possible. The changes inthisedition, which include additions to ten of the nineteen chapters, are intended to provide the additional insights that can be obtainedby seeing a little more of the “bigpicture”.This includesadditional related results and occasional generalizations that place the results inaslightly broader context. The Fundamental Theorem of Algebra is enhanced by three related results. Section 1.3 offers a detailed look at the solution of the cubic equation and its role in the acceptance of complex numbers. While there is no formula for determining the rootsof a generalpolynomial,we added a section on Newton’sMethod,a numerical technique for approximating the zeroes of any polynomial. And the Gauss-Lucas Theorem provides an insight into the location of the zeroes of a polynomial and those of its derivative. Aseries of new results relate to the mapping properties of analytic functions. Arevised proof of Theorem 6.15 leads naturally to a discussion of the connection between critical points and sa |
| 出版日期 | Textbook 2010Latest edition |
| 关键词 | Analysis; Complex analysis; Funktionentheorie; Residue theorem; analytic function; calculus; maximum |
| 版次 | 3 |
| doi | https://doi.org/10.1007/978-1-4419-7288-0 |
| isbn_softcover | 978-1-4614-2636-3 |
| isbn_ebook | 978-1-4419-7288-0Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer Science+Business Media, LLC 2010 |
|Archiver|手机版|小黑屋|
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