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Titlebook: Complex Analysis with Applications to Number Theory; Tarlok Nath Shorey Textbook 2020 Springer Nature Singapore Pte Ltd. 2020 Cauchy Theor

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書目名稱Complex Analysis with Applications to Number Theory
編輯Tarlok Nath Shorey
視頻videohttp://file.papertrans.cn/232/231386/231386.mp4
概述Focuses on interactions of complex analysis with number theory.Supplements suitable solved examples and problems with all chapters.Is authored by the winner of the Shanti Swarup Bhatnagar Prize for Sc
叢書名稱Infosys Science Foundation Series
圖書封面Titlebook: Complex Analysis with Applications to Number Theory;  Tarlok Nath Shorey Textbook 2020 Springer Nature Singapore Pte Ltd. 2020 Cauchy Theor
描述.The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two and three manifolds and number theory. In additional to solved examples and problems, the book covers most of the topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem,?.gamma.?function and harmonic functions.?.
出版日期Textbook 2020
關(guān)鍵詞Cauchy Theorem; Conformal Mappings; Riemann Mapping Theorem; Picard‘s Theorems; Gamma Function; Riemann Z
版次1
doihttps://doi.org/10.1007/978-981-15-9097-9
isbn_softcover978-981-15-9099-3
isbn_ebook978-981-15-9097-9Series ISSN 2363-6149 Series E-ISSN 2363-6157
issn_series 2363-6149
copyrightSpringer Nature Singapore Pte Ltd. 2020
The information of publication is updating

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Complex Analysis with Applications to Number Theory
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Infosys Science Foundation Serieshttp://image.papertrans.cn/c/image/231386.jpg
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978-981-15-9099-3Springer Nature Singapore Pte Ltd. 2020
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Acoustics in Halls for Speech and Musicunction are harmonic. We prove the existence of a harmonic conjugate of a harmonic function in a simply connected region in Sect.?4.4 where we also prove its converse. We introduce continuous functions with Mean Value Property in a region . in Sect.?4.5 and prove in Sect.?4.5 Maximum principle for h
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