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008 | 150903s2007 xxu| o |||| 0|eng d | ||
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_a9780387693163 _99780387693163 |
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024 | 7 |
_a10.1007/9780387693163 _2doi |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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050 | 4 | _aQA299.6-433 | |
100 | 1 |
_aHijab, Omar. _eautor _9304583 |
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245 | 1 | 0 |
_aIntroduction to Calculus and Classical Analysis / _cby Omar Hijab. |
264 | 1 |
_aNew York, NY : _bSpringer New York, _c2007. |
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300 |
_ax, 3437 páginas _brecurso en línea. |
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_atexto _btxt _2rdacontent |
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_acomputadora _bc _2rdamedia |
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_arecurso en línea _bcr _2rdacarrier |
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_aarchivo de texto _bPDF _2rda |
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_aUndergraduate Texts in Mathematics, _x0172-6056 |
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500 | _aSpringer eBooks | ||
505 | 0 | _aThe Set of Real Numbers -- Continuity -- Differentiation -- Integration -- Applications. | |
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 second 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 366 problems. About 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 |
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_iEdición impresa: _z9780387693156 |
856 | 4 | 0 |
_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-69316-3 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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