000			03286nam a22003735i 4500
001			291550
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007			cr nn 008mamaa
008			150903s2007 xxk| o |||| 0|eng d
020			_a9781846286278 _99781846286278
024	7		_a10.1007/9781846286278 _2doi
035			_avtls000343917
039		9	_a201509030352 _bVLOAD _c201405050259 _dVLOAD _y201402061243 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA299.6-433
100	1		_aSearcóid, Mícheál Ó. _eautor _9322916
245	1	0	_aMetric Spaces / _cby Mícheál Ó Searcóid.
264		1	_aLondon : _bSpringer London, _c2007.
300			_axIx, 304 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aSpringer Undergraduate Mathematics Series, _x1615-2085
500			_aSpringer eBooks
505	0		_aMetrics -- Distance -- Boundary -- Open, Closed and Dense Subsets -- Balls -- Convergence -- Bounds -- Continuity -- Uniform Continuity -- Completeness -- Connectedness -- Compactness -- Equivalence.
520			_aThe abstract concepts of metric ces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes the concrete notion of distance as far as possible, illustrating the text with examples and naturally arising questions. Attention to detail at this stage is designed to prepare the reader to understand the more abstract ideas with relative ease. The book goes on to provide a thorough exposition of all the standard necessary results of the theory and, in addition, includes selected topics not normally found in introductory books, such as: the Tietze Extension Theorem; the Hausdorff metric and its completeness; and the existence of curves of minimum length. Other features include: end-of-chapter summaries and numerous exercises to reinforce what has been learnt; extensive cross-referencing to help the reader follow arguments; a Cumulative Reference Chart, showing the dependencies throughout the book on a section-by-section basis as an aid to course design. The book is designed for third- and fourth-year undergraduates and beginning graduates. Readers should have some practical knowledge of differential and integral calculus and have completed a first course in real analysis. With its many examples, careful illustrations, and full solutions to selected exercises, this book provides a gentle introduction that is ideal for self-study and an excellent preparation for applications.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781846283697
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-84628-627-8 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c291550 _d291550