| 书目名称 | Fundamentals of Analysis with Applications | | 编辑 | Atul Kumar Razdan,V. Ravichandran | | 视频video | http://file.papertrans.cn/351/350126/350126.mp4 | | 概述 | Serves as a textbook in real analysis for senior undergraduate students of mathematics.Focuses on geometric properties of metric spaces and analytical properties of functions defined between such spac | | 图书封面 |  | | 描述 | .This book serves as a textbook in real analysis. It focuses on the fundamentals of the structural properties of metric spaces and analytical properties of functions defined between such spaces. Topics include sets, functions and cardinality, real numbers, analysis on R, topology of the real line, metric spaces, continuity and differentiability, sequences and series, Lebesgue integration, and Fourier series. It is primarily focused on the applications of analytical methods to solving partial differential equations rooted in many important problems in mathematics, physics, engineering, and related fields. Both the presentation and treatment of topics are fashioned to meet the expectations of interested readers working in any branch of science and technology. Senior undergraduates in mathematics and engineering are the targeted student readership, and the topical focus with applications to real-world examples will promote higher-level mathematical understanding for undergraduates in sciences and engineering.. | | 出版日期 | Textbook 2022 | | 关键词 | real numbers system; sequence and series; Euclidean topology; multivariable calculus; metric spaces; Lebe | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-16-8383-1 | | isbn_softcover | 978-981-16-8385-5 | | isbn_ebook | 978-981-16-8383-1 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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