• Visual Complex Functions: An Introduction with Phase Portraits

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Visual Complex FunctionsAn Introduction with Phase Portraits

by Elias Wegert

Format: Paperback

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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.

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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.

Genre: Mathematics, Mathematical Analysis
Format: Paperback
Published: 2012
Pages: 360
Publisher: Springer Basel
ISBN: 9783034801799

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Our conditions mean the following:

  • New - a brand new book
  • Almost New - appears new but is actually secondhand.
  • Very Good - only minor imperfections such as minor scuffs to edge or cover or a price written in pencil or shop sticker.
  • Standard Secondhand - Clearly been read before, but not too bad. We do not recommend these for gifting. Spines usually creased. Could also include creases or folds to cover, some writing such as in the cover or elsewhere, underlining or highlighting, but might not do. Possibly some stains or marks. Similar in general to books in any secondhand shop or charity shop.
  • Poor Condition - Usually this will have a specific problem such as writing inside, water damage, missing dust jacket, heavy staining, large creases or cuts. These are readable copies but not nice ones. On other websites this condition is called 'Acceptable' or 'Fair' , but we want to be more honest.
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