000			01630 a2200277 4500
003			OSt
005			20250330230414.0
008			250330b |||||||| |||| 00| 0 eng d
020			_a9780198961550
040			_cIITGN Library
082			_a516.36 TAU
100			_aTaubes, Clifford Henry
245			_aDifferential geometry: bundles, connections, metrics and curvature
260			_aOxford: _bOxford University Press, _c2011.
300			_axiii, 298 p.: _bpbk.: _c23 cm.
490			_a Oxford Graduate Texts in Mathematics; _v23
504			_aIncludes Index
520			_aBundles, connections, metrics, and curvature are the ‘lingua franca’ of modern differential geometry and theoretical physics. Many of the tools used in differential topology are introduced and the basic results about differentiable manifolds, smooth maps, differential forms, vector fields, Lie groups, and Grassmanians are all presented here. Other material covered includes the basic theorems about geodesics and Jacobi fields, the classification theorem for flat connections, the definition of characteristic classes, and also an introduction to complex and Kähler geometry. The book uses many of the classical examples from, and applications of, the subjects it covers, in particular those where closed form expressions are available, to bring abstract ideas to life. https://academic.oup.com/book/12200
650			_aMathematics
650			_aGeometry
650			_aAnalytic Geometry
650			_aDifferential and Integral Geometry
650			_aDifferential Topology
650			_aDifferentiable Manifolds
942			_cTD _2ddc
999			_c61743 _d61743