| 書(shū)目名稱(chēng) | Visual Complex Functions | | 副標(biāo)題 | An Introduction with | | 編輯 | Elias Wegert | | 視頻video | http://file.papertrans.cn/984/983696/983696.mp4 | | 概述 | First introduction to complex functions systematically using phase portraits (which are expected to become an indispensable tool for exploring complex functions in teaching, mathematical research and | | 圖書(shū)封面 |  | | 描述 | .This book provides a systematic introduction to functions of one complex variable. Its novel feature is the consistent use of special color representations – so-called phase portraits – which visualize functions as images on their domains..Reading .Visual Complex Functions. requires no prerequisites except some basic knowledge of real calculus and plane geometry. The text is self-contained and covers all the main topics usually treated in a first course on complex analysis. With separate chapters on various construction principles, conformal mappings and Riemann surfaces it goes somewhat beyond a standard programme and leads the reader to more advanced themes..In a second storyline, running parallel to the course outlined above, one learns how properties of complex functions are reflected in and can be read off from phase portraits. The book contains more than 200 of these pictorial representations which endow individual faces to analytic functions. Phase portraits enhance the intuitive understanding of concepts in complex analysis and are expected to be useful tools for anybody working with special functions – even experienced researchers may be inspired by the pictures to new an | | 出版日期 | Textbook 2012 | | 關(guān)鍵詞 | complex functions; phase portraits | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0180-5 | | isbn_softcover | 978-3-0348-0179-9 | | isbn_ebook | 978-3-0348-0180-5 | | copyright | Springer Basel 2012 |
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