000 01233nam a2200229Ia 4500
999 _c184404
_d184404
020 _a1441999817
020 _a9781441999818
040 _cCUS
082 _a514.3
_bLEE/I
100 _aLee,John M.
_928199
245 0 _aIntroduction to smooth manifolds/
_cJohn M. Lee
250 _a2nd. ed.
260 _aNew York :
_bSpringer,
_c2013.
300 _axv,708p. :
_bill. ;
_c24cm.
440 _aGraduate texts in mathematics, 218.
_928200
504 _aIncludes index and references.
505 _aPreface.- 1 Smooth Manifolds.- 2 Smooth Maps.- 3 Tangent Vectors.- 4 Submersions, Immersions, and Embeddings.- 5 Submanifolds.- 6 Sard's Theorem.- 7 Lie Groups.- 8 Vector Fields.- 9 Integral Curves and Flows.- 10 Vector Bundles.- 11 The Cotangent Bundle.- 12 Tensors.- 13 Riemannian Metrics.- 14 Differential Forms.- 15 Orientations.- 16 Integration on Manifolds.- 17 De Rham Cohomology.- 18 The de Rham Theorem.- 19 Distributions and Foliations.- 20 The Exponential Map.- 21 Quotient Manifolds.- 22 Symplectic Manifolds.-
650 _aSMOOTH AND PARTIAL LINEAR MANNIGINITIES (TOPOLOGY).
_928201
650 _aTEXTBOOKS (DOCUMENT TYPE).
_928202
650 _aLIE GROUP (ALGEBRA).
_928203
942 _cWB16
_01