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 |