| 书目名称 | Sharpening Mathematical Analysis Skills | | 编辑 | Alina Sîntămărian,Ovidiu Furdui | | 视频video | | | 概述 | Brings carefully selected, challenging problems in mathematical analysis.Explores the standard topics of mathematical analysis in ways not seen in regular textbooks.Offers original problems of mathema | | 丛书名称 | Problem Books in Mathematics | | 图书封面 |  | | 描述 | This book gathers together a novel collection of problems in mathematical analysis that are challenging and worth studying. They cover most of the classical topics of a course in mathematical analysis, and include challenges presented with an increasing level of difficulty. Problems are designed to encourage creativity, and some of them were especially crafted to lead to open problems which might be of interest for students seeking motivation to get a start in research..The sets of problems are comprised in Part I. The exercises are arranged on topics, many of them being preceded by supporting theory. Content starts with limits, series of real numbers and power series, extending to derivatives and their applications, partial derivatives and implicit functions. Difficult problems have been structured in parts, helping the reader to find a solution. Challenges and open problems are scattered throughout the text, being an invitation to discover new original methodsfor proving known results and establishing new ones. The final two chapters offer ambitious readers splendid problems and two new proofs of a famous quadratic series involving harmonic numbers. In Part II, the reader will fi | | 出版日期 | Textbook 2021 | | 关键词 | mathematical analysis; sequences; series; limits; derivatives; integrals; power series; quadratic series; co | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-77139-3 | | isbn_softcover | 978-3-030-77141-6 | | isbn_ebook | 978-3-030-77139-3Series ISSN 0941-3502 Series E-ISSN 2197-8506 | | issn_series | 0941-3502 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:06:33
