书目名称 | Limits, Series, and Fractional Part Integrals | 副标题 | Problems in Mathemat | 编辑 | Ovidiu Furdui | 视频video | | 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 | 丛书名称 | Problem Books in Mathematics | 图书封面 |  | 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 | 关键词 | 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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