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Titlebook: Visual Complex Functions; An Introduction with Elias Wegert Textbook 2012 Springer Basel 2012 complex functions.phase portraits

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发表于 2025-3-21 17:38:54 | 显示全部楼层 |阅读模式
书目名称Visual Complex Functions
副标题An Introduction with
编辑Elias Wegert
视频video
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
图书封面Titlebook: Visual Complex Functions; An Introduction with Elias Wegert Textbook 2012 Springer Basel 2012 complex functions.phase portraits
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
关键词complex functions; phase portraits
版次1
doihttps://doi.org/10.1007/978-3-0348-0180-5
isbn_softcover978-3-0348-0179-9
isbn_ebook978-3-0348-0180-5
copyrightSpringer Basel 2012
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发表于 2025-3-21 23:59:39 | 显示全部楼层
Elias Wegertf the enterprise and financial sectors and to the booms and busts of financial markets that accompanied it.”. In spite of the differences, the corporate laws in the origin countries have been, in various degrees, successful. Time is to be credited for this: the development of capitalism and the cred
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Elias Wegertne another, to enable an addition to a national total, and thus to lay the foundation for a comparison of this national to al with that of other countries. This task of integration can, it would appear, be performed only by expressing in terms of money the net value of production — weather actually
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he 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 an978-3-0348-0179-9978-3-0348-0180-5
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Textbook 2012resentations 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
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