| 書目名稱 | Real and Complex Analysis | | 副標題 | Volume 1 | | 編輯 | Rajnikant Sinha | | 視頻video | http://file.papertrans.cn/823/822229/822229.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 |  | | 描述 | .This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. 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 three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz–Fischer theorem, Vitali–Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which arethe work of great mathematicians of the 19th and 20th centuries.. | | 出版日期 | Textbook 2018 | | 關(guān)鍵詞 | Conformal Mapping; Harmonic Functions; Holomorphic Functions; Fourier Transforms; Lebesgue Integration | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-13-0938-0 | | isbn_ebook | 978-981-13-0938-0 | | copyright | Springer Nature Singapore Pte Ltd. 2018 |
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