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130531s2013 xxu| s |||| 0|eng d |
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|a 9781461467625
|9 978-1-4614-6762-5
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|a 10.1007/978-1-4614-6762-5
|2 doi
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|a QA299.6-433
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|a PBK
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|a MAT034000
|2 bisacsh
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|a Furdui, Ovidiu.
|e author.
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|a Limits, Series, and Fractional Part Integrals
|b Problems in Mathematical Analysis /
|c by Ovidiu Furdui.
|h [electronic resource] :
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| 264 |
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|a New York, NY :
|b Springer New York :
|b Imprint: Springer,
|c 2013.
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| 300 |
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|a XVIII, 274 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Problem Books in Mathematics,
|x 0941-3502
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|a Preface -- Notations -- 1. Limits -- 2. Fractional Part Integrals -- 3. A Bouquet of Series -- A. Elements of Classical Analysis -- B. Stolz<U+0013>Cesr̉o Lemma -- References -- Index.
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| 520 |
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|a Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis features original problems in classical analysis that invite the reader to explore a host of strategies and mathematical tools used for solving real analysis problems. The book is designed to fascinate the novice, puzzle the expert, and trigger the imaginations of all. The text is geared toward graduate students in mathematics and engineering, researchers, and anyone who works on topics at the frontier of pure and applied mathematics. Moreover, it is the first book in mathematical literature concerning the calculation of fractional part integrals and series of various types. Most problems are neither easy nor standard and deal with modern topics of classical analysis. Each chapter has a section of open problems that may be considered as research projects for students who are taking advanced calculus classes. The intention of having these problems collected in the book is to stimulate the creativity and the discovery of new and original methods for proving known results and establishing new ones. The book is divided into three parts, each of them containing a chapter dealing with a particular type of problems. The first chapter contains problems on limits of special sequences and Riemann integrals; the second chapter deals with the calculation of special classes of integrals involving a fractional part term; and the third chapter hosts a collection of problems on the calculation of series (single or multiple) involving either a numerical or a functional term.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Global analysis (Mathematics).
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| 650 |
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|a Sequences (Mathematics).
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| 650 |
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|a Functions, special.
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| 650 |
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|a Mathematics.
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|a Analysis.
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|a Sequences, Series, Summability.
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| 650 |
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|a Special Functions.
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| 650 |
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|a Analysis.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9781461467618
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| 830 |
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|a Problem Books in Mathematics,
|x 0941-3502
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| 856 |
4 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-6762-5
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|