Visual Complex Functions: An Introduction with Phase Portraits free ebook download.

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Visual Complex Functions: An Introduction with Phase Portraits free ebook download

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Algorithms

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Author(s):	sual Complex Functions: An Introduction with Phase Portraits By Elias Wegert

Date:	2012	Format:	PDF	Language:	English	ISBN/ASIN:	3034801793
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	topron	Upload Date:	12/24/2019 10:19:56 AM

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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 and challenging questions.

Visual Complex Functions may also serve as a companion to other texts or as a reference work for advanced readers who wish to know more about phase portraits.
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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
2659959	Book	http://k2s.cc/file/a9a5571608cba...		20.57	topron

Tags: Complex Functions Introduction Phase Portraits Visual

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