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Explorations in Complex Functions free ebook download

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Mathematics

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Catalogue

Author(s):	Richard Beals

Date:	2020	Format:	PDF,EPUB	Language:	English	ISBN/ASIN:	3030545326
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	10/20/2020 1:37:46 PM

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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 in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book.
Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give rise to Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the WienerHopf method.

Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite  exercises complement the results throughout.
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Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
2887594	Book	https://tezfiles.com/file/293cea9099b0d...		5.09	gestalt
2887595	Book	https://tezfiles.com/file/2cb166335278e...		24.42	gestalt

Tags: Complex Explorations Functions

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Explorations in Complex Functions free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics