000			02594nam a22003017a 4500
003			OSt
005			20250209153823.0
008			250209b |||||||| |||| 00| 0 hin d
020			_a9781447174257
040			_aNISER LIBRARY _cNISER LIBRARY
082	0	4	_a515.124 _bSHI-M
100	1		_aShirali, Satish
245	1	0	_aMetric spaces
260			_aLondon : _bSpringer, _c2022.
300			_aviii, 222 p. : _bill. (21 b/w illustrations) ; _c24 cm.
504			_aIncludes bibliographical references (p. 218) and index.
520			_aSince the last century, the postulational method and an abstract point of view have played a vital role in the development of modern mathematics. The experience gained from the earlier concrete studies of analysis point to the importance of passage to the limit. The basis of this operation is the notion of distance between any two points of the line or the complex plane. The algebraic properties of underlying sets often play no role in the development of analysis; this situation naturally leads to the study of metric spaces. The abstraction not only simplifies and elucidates mathematical ideas that recur in different guises, but also helps eco- mize the intellectual effort involved in learning them. However, such an abstract approach is likely to overlook the special features of particular mathematical developments, especially those not taken into account while forming the larger picture. Hence, the study of particular mathematical developments is hard to overemphasize. The language inwhich a large body of ideas and results of functional analysis are expressed is that of metric spaces. The books on functional analysis seem to go over the preliminaries of this topic far too quickly. The present authors attempt to provide a leisurely approach to the theory of metric spaces. In order to ensure that the ideas take root gradually but firmly, a large number of examples and counterexamples follow each definition. Also included are several worked examples and exercises. Applications of the theory are spread out over the entire book.
650		0	_aMetric spaces.
650		0	_aCompact space
650		0	_aConnected space
650		0	_aHilbert space
650		0	_aReal analysis
700	1		_aVasudeva, Harkrishan L.
856	4	1	_3Electronic version _uhttps://link.springer.com/book/10.1007/1-84628-244-6
856	4	1	_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-1-84628-244-7/1
856	4	1	_3Reviews _uhttps://www.goodreads.com/book/show/985103.Metric_Spaces?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35610 _d35610