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Titlebook: Real and Complex Analysis; Volume 2 Rajnikant Sinha Textbook 2018 Springer Nature Singapore Pte Ltd. 2018 Holomorphic functions.Harmonic Fu

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發(fā)表于 2025-3-21 16:57:50 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Real and Complex Analysis
副標(biāo)題Volume 2
編輯Rajnikant Sinha
視頻videohttp://file.papertrans.cn/823/822228/822228.mp4
概述Discusses major topics in real and complex analysis.Includes the essential analysis that is needed for the study of functional analysis.Presents applications of complex analysis to analytic number the
圖書封面Titlebook: Real and Complex Analysis; Volume 2 Rajnikant Sinha Textbook 2018 Springer Nature Singapore Pte Ltd. 2018 Holomorphic functions.Harmonic Fu
描述.This is the second volume of the two-volume book on real and complex analysis. This volume is an introduction to the theory of holomorphic functions. Multivalued functions and branches have been dealt carefully with the application of the machinery of complex measures and power series. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into four chapters, it discusses holomorphic functions and harmonic functions, Schwarz reflection principle, infinite product and the Riemann mapping theorem, analytic continuation, monodromy theorem, prime number theorem, and Picard’s little theorem. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complexanalysis, most of which are the work of great mathematicians of the 19th and 20th centuries..
出版日期Textbook 2018
關(guān)鍵詞Holomorphic functions; Harmonic Functions; Conformal Mapping; Analytic Continuation; Laurent Series; Eule
版次1
doihttps://doi.org/10.1007/978-981-13-2886-2
isbn_ebook978-981-13-2886-2
copyrightSpringer Nature Singapore Pte Ltd. 2018
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沙發(fā)
發(fā)表于 2025-3-21 21:17:24 | 只看該作者
Conformal Mapping,The topics of discussion in this chapter are infinite product and the Riemann mapping theorem. We also prove Weierstrass factorization theorem, Montel’s theorem and the Mittag-Leffler theorem.
板凳
發(fā)表于 2025-3-22 02:46:14 | 只看該作者
Analytic Continuation,In this chapter, we introduce analytic continuation, and prove the monodromy theorem. A branch of logarithm function is also discussed here.
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Special Functions,d prime number theorem, and a proof of Picard’s little theorem. Through these theorems, we have endeavored to demonstrate the power of complex analysis. Although this is our last chapter, we shall proceed here in an enough slow pace.
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https://doi.org/10.1007/978-981-13-2886-2Holomorphic functions; Harmonic Functions; Conformal Mapping; Analytic Continuation; Laurent Series; Eule
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Springer Nature Singapore Pte Ltd. 2018
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發(fā)表于 2025-3-23 02:43:09 | 只看該作者
d to give a representative overview on the characteristics and variability of each enzyme the Handbock is not a com- pendium. The readerwill have to go to the primary Iiterature for more detailed information. Naturally it is not possible to cover all the numerous Iiterature references for each enzym
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發(fā)表于 2025-3-23 08:17:40 | 只看該作者
Rajnikant Sinhad to give a representative overview on the characteristics and variability of each enzyme the Handbock is not a com- pendium. The readerwill have to go to the primary Iiterature for more detailed information. Naturally it is not possible to cover all the numerous Iiterature references for each enzym
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