000 02788nam a22004935i 4500
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
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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