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007			cr nn 008mamaa
008			150903s2011 xxu| o |||| 0|eng d
020			_a9781441994882 _99781441994882
024	7		_a10.1007/9781441994882 _2doi
035			_avtls000339335
039		9	_a201509030837 _bVLOAD _c201404300358 _dVLOAD _y201402060933 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA401-425
100	1		_aHijab, Omar. _eautor _9304583
245	1	0	_aIntroduction to Calculus and Classical Analysis / _cby Omar Hijab.
250			_a3.
264		1	_aNew York, NY : _bSpringer New York, _c2011.
300			_axii, 364 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aUndergraduate Texts in Mathematics, _x0172-6056
500			_aSpringer eBooks
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
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781441994875
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4419-9488-2 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c287553 _d287553