000 | 02788nam a22004935i 4500 | ||
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001 | 978-1-84628-244-7 | ||
003 | DE-He213 | ||
005 | 20161121231031.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2006 xxk| s |||| 0|eng d | ||
020 |
_a9781846282447 _9978-1-84628-244-7 |
||
024 | 7 |
_a10.1007/1-84628-244-6 _2doi |
|
050 | 4 | _aQA611-614.97 | |
072 | 7 |
_aPBP _2bicssc |
|
072 | 7 |
_aMAT038000 _2bisacsh |
|
082 | 0 | 4 |
_a514 _223 |
100 | 1 |
_aShirali, Satish. _eauthor. |
|
245 | 1 | 0 |
_aMetric Spaces _h[electronic resource] / _cby Satish Shirali, Harkrishan L. Vasudeva. |
264 | 1 |
_aLondon : _bSpringer London, _c2006. |
|
300 |
_aVIII, 222 p. 21 illus. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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505 | 0 | _aPreliminaries -- Basic Concepts -- Topology of a Metric Space -- Continuity -- Connected Spaces -- Compact Spaces -- Product Spaces. | |
520 | _aThis volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions. Key features include: a full chapter on product metric spaces, including a proof of Tychonoff’s Theorem a wealth of examples and counter-examples from real analysis, sequence spaces and spaces of continuous functions numerous exercises – with solutions to most of them – to test understanding. The only prerequisite is a familiarity with the basics of real analysis: the authors take care to ensure that no prior knowledge of measure theory, Banach spaces or Hilbert spaces is assumed. The material is developed at a leisurely pace and applications of the theory are discussed throughout, making this book ideal as a classroom text for third- and fourth-year undergraduates or as a self-study resource for graduate students and researchers. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aTopology. | |
650 | 0 | _aPhysics. | |
650 | 0 | _aEngineering. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aTopology. |
650 | 2 | 4 | _aFunctional Analysis. |
650 | 2 | 4 | _aMathematical Methods in Physics. |
650 | 2 | 4 | _aEngineering, general. |
700 | 1 |
_aVasudeva, Harkrishan L. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9781852339227 |
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/1-84628-244-6 |
912 | _aZDB-2-SMA | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c507562 _d507562 |