000			03001nam a22004095i 4500
001			978-0-387-78933-0
003			DE-He213
005			20260521092008.0
007			cr nn 008mamaa
008			110402s2009 xxu| s |||| 0|eng d
020			_a9780387789330
020			_a99780387789330
024	7		_a10.1007/ 978-0-387-78933-0 _2doi
040			_cCICY
100	1		_aMuresan, Marian. _eauthor.
245	1	2	_aA Concrete Approach to Classical Analysis _h[electronic resource] / _cby Marian Muresan.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_aXVIII, 438p. 29 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC, _x1613-5237
505	0		_aSets and Numbers -- Vector Spaces and Metric Spaces -- Sequences and Series -- Limits and Continuity -- Differential Calculus on R -- Integral Calculus on R -- Differential Calculus on R -- Double Integrals, Triple Integrals, and Line Integrals -- Constants -- Asymptotic and Combinatorial Estimates.
520			_aMathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential and integral calculus, and includes a wealth of useful and relevant examples, exercises, and results enlightening the reader to the power of mathematical tools. The intended audience consists of advanced undergraduates studying mathematics or computer science. The author provides excursions from the standard topics to modern and exciting topics, to illustrate the fact that even first or second year students can understand certain research problems. The text has been divided into ten chapters and covers topics on sets and numbers, linear spaces and metric spaces, sequences and series of numbers and of functions, limits and continuity, differential and integral calculus of functions of one or several variables, constants (mainly pi) and algorithms for finding them, the W - Z method of summation, estimates of algorithms and of certain combinatorial problems. Many challenging exercises accompany the text. Most of them have been used to prepare for different mathematical competitions during the past few years. In this respect, the author has maintained a healthy balance of theory and exercises.
650		0	_aMATHEMATICS.
650		0	_aGLOBAL ANALYSIS (MATHEMATICS).
650	1	4	_aMATHEMATICS.
650	2	4	_aANALYSIS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387789323
830		0	_aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC, _x1613-5237
856	4	0	_uhttp://dx.doi.org/10.1007/ 978-0-387-78933-0 _zVer el texto completo en las instalaciones del CICY
942			_2ddc _cER
999			_c35059 _d35059