000			03221nam a22004935i 4500
001			u372239
003			SIRSI
005			20160812084049.0
007			cr nn 008mamaa
008			110318s2011 xxu| s |||| 0|eng d
020			_a9781441994882 _9978-1-4419-9488-2
040			_cMX-MeUAM
050		4	_aQA401-425
082	0	4	_a511.4 _223
100	1		_aHijab, Omar. _eauthor.
245	1	0	_aIntroduction to Calculus and Classical Analysis _h[recurso electrónico] / _cby Omar Hijab.
250			_a3.
264		1	_aNew York, NY : _bSpringer New York, _c2011.
300			_aXII, 364 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
505	0		_aPreface -- 1 The Set of Real Numbers -- 2 Continuity -- 3 Differentiation -- 4 Integration -- 5 Applications -- A Solutions -- References -- Index.
520			_aThis text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material. Some features of the text: * The text is completely self-contained and starts with the real number axioms; * The integral is defined as the area under the graph, while the area is defined for every subset of the plane; * There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; * There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; * Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; * There are 385 problems with all the solutions at the back of the text. Review from the first edition: "This is a very intriguing, decidedly unusual, and very satisfying treatment of calculus and introductory analysis. It's full of quirky little approaches to standard topics that make one wonder over and over again, 'Why is it never done like this?'" -John Allen Paulos, author of Innumeracy and A Mathematician Reads the Newspaper
650		0	_aMathematics.
650		0	_aSequences (Mathematics).
650		0	_aFunctions, special.
650		0	_aCombinatorics.
650	1	4	_aMathematics.
650	2	4	_aApproximations and Expansions.
650	2	4	_aSequences, Series, Summability.
650	2	4	_aSpecial Functions.
650	2	4	_aCombinatorics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441994875
830		0	_aUndergraduate Texts in Mathematics, _x0172-6056
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-9488-2
596			_a19
942			_cLIBRO_ELEC
999			_c200119 _d200119