LEADER 04313nam 22007455 450 001 9910438159003321 005 20200630003858.0 010 $a1-4614-6762-4 024 7 $a10.1007/978-1-4614-6762-5 035 $a(CKB)3390000000037143 035 $a(EBL)1317192 035 $a(SSID)ssj0000904259 035 $a(PQKBManifestationID)11532087 035 $a(PQKBTitleCode)TC0000904259 035 $a(PQKBWorkID)10922721 035 $a(PQKB)10646397 035 $a(DE-He213)978-1-4614-6762-5 035 $a(MiAaPQ)EBC6312095 035 $a(MiAaPQ)EBC1317192 035 $a(Au-PeEL)EBL1317192 035 $a(CaPaEBR)ebr10983219 035 $a(OCoLC)853364950 035 $a(PPN)170487865 035 $a(EXLCZ)993390000000037143 100 $a20130531d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLimits, Series, and Fractional Part Integrals $eProblems in Mathematical Analysis /$fby Ovidiu Furdui 205 $a1st ed. 2013. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2013. 215 $a1 online resource (288 p.) 225 1 $aProblem Books in Mathematics,$x0941-3502 300 $aDescription based upon print version of record. 311 $a1-4899-9243-X 311 $a1-4614-6761-6 320 $aIncludes bibliographical references (pages 267-271) and index. 327 $aPreface -- Notations -- 1. Limits -- 2. Fractional Part Integrals -- 3. A Bouquet of Series -- A. Elements of Classical Analysis -- B. Stolz?Cesāro Lemma -- References -- Index. 330 $aLimits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis features original problems in classical analysis that invite the reader to explore a host of strategies and mathematical tools used for solving real analysis problems. The book is designed to fascinate the novice, puzzle the expert, and trigger the imaginations of all. The text is geared toward graduate students in mathematics and engineering, researchers, and anyone who works on topics at the frontier of pure and applied mathematics. Moreover, it is the first book in mathematical literature concerning the calculation of fractional part integrals and series of various types. Most problems are neither easy nor standard and deal with modern topics of classical analysis. Each chapter has a section of open problems that may be considered as research projects for students who are taking advanced calculus classes. The intention of having these problems collected in the book is to stimulate the creativity and the discovery of new and original methods for proving known results and establishing new ones. The book is divided into three parts, each of them containing a chapter dealing with a particular type of problems. The first chapter contains problems on limits of special sequences and Riemann integrals; the second chapter deals with the calculation of special classes of integrals involving a fractional part term; and the third chapter hosts a collection of problems on the calculation of series (single or multiple) involving either a numerical or a functional term.  . 410 0$aProblem Books in Mathematics,$x0941-3502 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aSequences (Mathematics) 606 $aFunctions, Special 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aSequences, Series, Summability$3https://scigraph.springernature.com/ontologies/product-market-codes/M1218X 606 $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aSequences (Mathematics) 615 0$aFunctions, Special. 615 14$aAnalysis. 615 24$aSequences, Series, Summability. 615 24$aSpecial Functions. 676 $a515.076 700 $aFurdui$b Ovidiu$4aut$4http://id.loc.gov/vocabulary/relators/aut$0521360 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438159003321 996 $aLimits, series, and fractional part integrals$9836573 997 $aUNINA