书目名称 | Complex Analysis | 编辑 | John M. Howie | 视频video | | 概述 | Suitable for both pure and applied mathematicians.Takes account of readers‘ varying needs and backgrounds by presenting ideas through worked examples and informal explanations rather than through "dry | 丛书名称 | Springer Undergraduate Mathematics Series | 图书封面 |  | 描述 | Complex analysis is one of the most attractive of all the core topics in an undergraduate mathematics course. Its importance to applications means that it can be studied both from a very pure perspective and a very applied perspective. This book takes account of these varying needs and backgrounds and provides a self-study text for students in mathematics, science and engineering. Beginning with a summary of what the student needs to know at the outset, it covers all the topics likely to feature in a first course in the subject, including: complex numbers, differentiation, integration, Cauchy‘s theorem, and its consequences, Laurent series and the residue theorem, applications of contour integration, conformal mappings, and harmonic functions. A brief final chapter explains the Riemann hypothesis, the most celebrated of all the unsolved problems in mathematics, and ends with a short descriptive account of iteration, Julia sets and the Mandelbrot set. Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided. | 出版日期 | Textbook 2003 | 关键词 | Analysis; Complex analysis; Complex numbers; Functions of a complex variable; Residue theorem; calculus; c | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4471-0027-0 | isbn_softcover | 978-1-85233-733-9 | isbn_ebook | 978-1-4471-0027-0Series ISSN 1615-2085 Series E-ISSN 2197-4144 | issn_series | 1615-2085 | copyright | Springer-Verlag London 2003 |
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