| 000 | 02682nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-9638-0 | ||
| 003 | DE-He213 | ||
| 005 | 20140220082505.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 140124s2014 xxu| s |||| 0|eng d | ||
| 020 |
_a9781461496380 _9978-1-4614-9638-0 |
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| 024 | 7 |
_a10.1007/978-1-4614-9638-0 _2doi |
|
| 050 | 4 | _aQA299.6-433 | |
| 072 | 7 |
_aPBK _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aPons, Matthew A. _eauthor. |
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| 245 | 1 | 0 |
_aReal Analysis for the Undergraduate _h[electronic resource] : _bWith an Invitation to Functional Analysis / _cby Matthew A. Pons. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2014. |
|
| 300 |
_aXVIII, 409 p. 43 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 |
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| 505 | 0 | _aThe Real Numbers -- Sequences in R -- Numerical Series -- Continuity -- The Derivative -- Sequence and Series of Functions -- The Riemann Integral -- Lebesgue Measure on R -- Lebesgue Integration . | |
| 520 | _aThis undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. The author’s engaging style makes advanced topics approachable without sacrificing rigor. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. Key features include: - examples to reinforce theory; - thorough explanations preceding definitions, theorems and formal proofs; - illustrations to support intuition; - over 450 exercises designed to develop connections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delve deeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate curriculum. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 0 | _aFunctional analysis. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAnalysis. |
| 650 | 2 | 4 | _aReal Functions. |
| 650 | 2 | 4 | _aFunctional Analysis. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461496373 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-9638-0 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c92404 _d92404 |
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