000			03381nam a22004935i 4500
001			978-1-4614-6762-5
003			DE-He213
005			20140220082826.0
007			cr nn 008mamaa
008			130531s2013 xxu| s |||| 0|eng d
020			_a9781461467625 _9978-1-4614-6762-5
024	7		_a10.1007/978-1-4614-6762-5 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aFurdui, Ovidiu. _eauthor.
245	1	0	_aLimits, Series, and Fractional Part Integrals _h[electronic resource] : _bProblems in Mathematical Analysis / _cby Ovidiu Furdui.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aXVIII, 274 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProblem Books in Mathematics, _x0941-3502
505	0		_aPreface -- Notations -- 1. Limits -- 2. Fractional Part Integrals -- 3. A Bouquet of Series -- A. Elements of Classical Analysis -- B. Stolz–Cesàro Lemma -- References -- Index.
520			_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.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aSequences (Mathematics).
650		0	_aFunctions, special.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aSequences, Series, Summability.
650	2	4	_aSpecial Functions.
650	2	4	_aAnalysis.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461467618
830		0	_aProblem Books in Mathematics, _x0941-3502
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-6762-5
912			_aZDB-2-SMA
999			_c95749 _d95749