000			02821nam a22004695i 4500
001			978-1-84628-194-5
003			DE-He213
005			20161121230931.0
007			cr nn 008mamaa
008			100301s2005 xxk| s |||| 0|eng d
020			_a9781846281945 _9978-1-84628-194-5
024	7		_a10.1007/1-84628-194-6 _2doi
050		4	_aQA440-699
072		7	_aPBM _2bicssc
072		7	_aMAT012000 _2bisacsh
082	0	4	_a516 _223
100	1		_aCrossley, Martin D. _eauthor.
245	1	0	_aEssential Topology _h[electronic resource] / _cby Martin D. Crossley.
250			_a1.
264		1	_aLondon : _bSpringer London, _c2005.
300			_aX, 224 p. 110 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Undergraduate Mathematics Series, _x1615-2085
505	0		_aContinuous Functions -- Topological Spaces -- Topological Properties -- Deconstructionist Topology -- Homotopy -- The Euler Number -- Homotopy Groups -- Simplicial Homology -- Singular Homology -- More Deconstructionism.
520			_aTaking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. Based on courses given at the University of Wales Swansea, it begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology. While containing all the key results of basic topology, Essential Topology never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas and motivate the student, reflecting the fact that these are often the key examples behind current research. With chapters on: * continuity and topological spaces * deconstructionist topology * the Euler number * homotopy groups including the fundamental group * simplicial and singular homology, and * fibre bundles Essential Topology contains enough material for two semester-long courses, and offers a one-stop-shop for undergraduate-level topology, leaving students motivated for postgraduate study in the field, and well prepared for it.
650		0	_aMathematics.
650		0	_aGeometry.
650		0	_aTopology.
650	1	4	_aMathematics.
650	2	4	_aGeometry.
650	2	4	_aTopology.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781852337827
830		0	_aSpringer Undergraduate Mathematics Series, _x1615-2085
856	4	0	_uhttp://dx.doi.org/10.1007/1-84628-194-6
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c506090 _d506090