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Titlebook: Explorations in Complex Functions; Richard Beals,Roderick S. C. Wong Textbook 2020 Springer Nature Switzerland AG 2020 Complex analysis te

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書目名稱Explorations in Complex Functions
編輯Richard Beals,Roderick S. C. Wong
視頻videohttp://file.papertrans.cn/320/319406/319406.mp4
概述Illustrates a unique, accessible range of topics relevant across analysis and number theory.Includes pathways toward applications of the Schwarzian, the Riemann hypothesis, and parametrization of Riem
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Explorations in Complex Functions;  Richard Beals,Roderick S. C. Wong Textbook 2020 Springer Nature Switzerland AG 2020 Complex analysis te
描述.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 riseto 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 Wiener–Hopf method...Sho
出版日期Textbook 2020
關鍵詞Complex analysis textbook; Complex analysis for number theory; Linear fractional transformations; Harmo
版次1
doihttps://doi.org/10.1007/978-3-030-54533-8
isbn_softcover978-3-030-54535-2
isbn_ebook978-3-030-54533-8Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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