| 書目名稱 | Limits, Series, and Fractional Part Integrals | | 副標(biāo)題 | Problems in Mathemat | | 編輯 | Ovidiu Furdui | | 視頻video | http://file.papertrans.cn/587/586209/586209.mp4 | | 概述 | Provides original problems on special topics in classical analysis such as the computation of limits, series, and exotic integrals.The first book to concern the calculation of fractional part integral | | 叢書名稱 | Problem Books in Mathematics | | 圖書封面 |  | | 描述 | .This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis. This volume offers an unusual collection of problems — many of them original — specializing in three topics of mathematical analysis: limits, series, and fractional part integrals. .The work is divided into three parts, each containing a chapter dealing with a particular problem type as well as a very short section of hints to select problems. The first chapter collects problems on limits of special sequences and Riemann integrals; the second chapter?focuses on?the calculation of fractional part integrals with a special section called ‘Quickies’ which contains problems that have had unexpected succinct solutions. The final chapter offers the reader an assortment of problems with a flavor towards the computational aspects of infinite series and special products, many of which are new to the literature. Each chapter contains a section of difficult problems which are motivated by other problems in the book. These ‘Open Problems’ may be considered research projects for students who are studying advan | | 出版日期 | Textbook 2013 | | 關(guān)鍵詞 | Riemann-Zeta numbers; fractional part integrals; real analysis problems; special constants; special limi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-6762-5 | | isbn_softcover | 978-1-4899-9243-7 | | isbn_ebook | 978-1-4614-6762-5Series ISSN 0941-3502 Series E-ISSN 2197-8506 | | issn_series | 0941-3502 | | copyright | Springer Science+Business Media New York 2013 |
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