| 000 | 03031nam a22004695i 4500 | ||
|---|---|---|---|
| 001 | 978-0-387-69316-3 | ||
| 003 | DE-He213 | ||
| 005 | 20161121231124.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2007 xxu| s |||| 0|eng d | ||
| 020 |
_a9780387693163 _9978-0-387-69316-3 |
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| 024 | 7 |
_a10.1007/978-0-387-69316-3 _2doi |
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| 050 | 4 | _aQA299.6-433 | |
| 072 | 7 |
_aPBK _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aHijab, Omar. _eauthor. |
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| 245 | 1 | 0 |
_aIntroduction to Calculus and Classical Analysis _h[electronic resource] / _cby Omar Hijab. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2007. |
|
| 300 |
_aX, 342 p. 65 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aUndergraduate Texts in Mathematics, _x0172-6056 |
|
| 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. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aMathematical analysis. | |
| 650 | 0 | _aAnalysis (Mathematics). | |
| 650 | 0 | _aFunctions of real variables. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAnalysis. |
| 650 | 2 | 4 | _aReal Functions. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780387693156 |
| 830 | 0 |
_aUndergraduate Texts in Mathematics, _x0172-6056 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-0-387-69316-3 |
| 912 | _aZDB-2-SMA | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c508913 _d508913 |
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