Visual Complex Functions

Visual Complex Functions
Author :
Publisher : Springer Science & Business Media
Total Pages : 374
Release :
ISBN-10 : 9783034801805
ISBN-13 : 3034801807
Rating : 4/5 (807 Downloads)

Book Synopsis Visual Complex Functions by : Elias Wegert

Download or read book Visual Complex Functions written by Elias Wegert and published by Springer Science & Business Media. This book was released on 2012-08-30 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Visual Complex Functions Related Books

Visual Complex Functions
Language: en
Pages: 374
Authors: Elias Wegert
Categories: Mathematics
Type: BOOK - Published: 2012-08-30 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book provides a systematic introduction to functions of one complex variable. Its novel feature is the consistent use of special color representations –
Coloring Book of Complex Function Representations
Language: en
Pages: 40
Authors: Julie Barnes
Categories:
Type: BOOK - Published: 2017-12-31 - Publisher: MAA Press

DOWNLOAD EBOOK

Have you ever seen a mathematical object that was so intriguing that anyone, regardless of mathematical background, could appreciate its aesthetic beauty? If so
Illustrating Mathematics
Language: en
Pages: 171
Authors: Diana Davis
Categories: Education
Type: BOOK - Published: 2020-10-16 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by s
The Calculus of Complex Functions
Language: en
Pages: 456
Authors: William Johnston
Categories: Mathematics
Type: BOOK - Published: 2022-04-01 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

The book introduces complex analysis as a natural extension of the calculus of real-valued functions. The mechanism for doing so is the extension theorem, which
Explorations in Complex Functions
Language: en
Pages: 353
Authors: Richard Beals
Categories: Mathematics
Type: BOOK - Published: 2020-10-19 - Publisher: Springer Nature

DOWNLOAD EBOOK

This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used