000			01729nam a22002537a 4500
003			IIITD
005			20240701122430.0
008			240607b |||||||| |||| 00| 0 eng d
020			_a9781470454821
040			_aIIITD
082	0	0	_a516 _bKAT-L
100	1		_aKatok, Anatole
245	1	0	_aLectures on surfaces : _b(almost) everything you wanted to know about them _cby Anatole Katok and Vaughn Climenhaga
260			_aHyderabad : _bUniversities Press, _c©2008
300			_axv, 286 p. : _bill. ; _c22 cm.
490	1		_aStudent mathematical library ; _vv. 46
504			_aIncludes bibliographical references (p. 271-274) and index.
505			_tChapter 1. Various ways of representing surfaces and basic examples _tChapter 2. Combinatorial structure and topological classification of surfaces _tChapter 3. Differentiable structure on surfaces: Real and complex _tChapter 4. Riemannian metrics and geometry of surfaces _tChapter 5. Topology and smooth structure revisited
520			_aSurfaces are among the most common and easily visualized mathematical objects, and their study brings into focus fundamental ideas, concepts, and methods from geometry, topology, complex analysis, Morse theory, and group theory. At the same time, many of those notions appear in a technically simpler and more graphic form than in their general ""natural"" settings. The first, primarily expository, chapter introduces many of the principal actors--the round sphere, flat torus, Möbius strip, Klein bottle, elliptic plane, etc.--as well as various methods of describing surfaces, beginning with the t.
650		0	_aSurfaces.
700	1		_aClimenhaga, Vaughn
830		0	_aStudent mathematical library ; _vv. 46.
942			_2ddc _cBK
999			_c189494 _d189494