| 书目名称 | Complex Analysis | | 编辑 | Taras Mel‘nyk | | 视频video | http://file.papertrans.cn/232/231357/231357.mp4 | | 概述 | Covers the fundamentals of complex analysis.Concise but thorough for a direct understanding of the subject.Contains diverse examples and exercises | | 图书封面 |  | | 描述 | Today, the theory of complex-valued functions finds widespread applications in various areas of mathematical research, as well as in electrical and mechanical engineering, aeronautics, and other disciplines. Complex analysis has become a basic course in mathematics, physics, and select engineering departments..This concise textbook provides a thorough introduction to the function theory of one complex variable. It presents the fundamental concepts with clarity and rigor, offering concise proofs that avoid lengthy and tedious arguments commonly found in mathematics textbooks. It goes beyond traditional texts by exploring less common topics, including the different approaches to constructing analytic functions, the conformal mapping criterion, integration of analytic functions along arbitrary curves, global analytic functions and their Riemann surfaces, the general inverse function theorem, the Lagrange–Bürmann formula, and Puiseux series..Drawing from several decades of teaching experience, this book is ideally suited for one or two semester courses in complex analysis. It also serves as a valuable companion for courses in topology, approximation theory, asymptotic analysis, and fun | | 出版日期 | Textbook 2023 | | 关键词 | functions of a complex variable; conformal mappings; analytic functions; power series; meromorphic funct | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-39615-1 | | isbn_softcover | 978-3-031-39617-5 | | isbn_ebook | 978-3-031-39615-1 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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