000 02445cam a22004097a 4500
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003 MWNLS
005 20150410144038.0
008 120106s2011 enka b 001 0 eng d
010 _a 2011499898
016 7 _a015700674
_2Uk
020 _a9780199605880 (hbk.)
020 _a0199605882 (hbk.)
020 _a9780199605873 pbk.)
020 _a0199605874 (pbk.)
035 _a(OCoLC)ocn760133929
040 _aSINUS
_cSINUS
_dUKMGB
_dBTCTA
_dYDXCP
_dCDX
_dNLE
_dBWX
_dIXA
_dDCU
_dOUP
_dMUU
_dIXA
_dUBY
_dIG$
_dVRC
_dDLC
042 _alccopycat
050 0 0 _aQA641
_b.T238 2011
082 0 4 _a516.36
_222
100 1 _aTaubes, Clifford,
_d1954-
245 1 0 _aDifferential geometry :
_bbundles, connections, metrics and curvature /
_cClifford Henry Taubes.
260 _aOxford ;
_aNew York :
_bOxford University Press,
_cc2011.
300 _axiii, 298 p. :
_bill. ;
_c24 cm.
490 1 _aOxford mathematics
490 1 _aOxford graduate texts in mathematics ;
_v23
504 _aIncludes bibliographical references and index.
505 0 _a1. Smooth manifolds -- 2. Matrices and lie groups -- 3. Introduction to vector bundles -- 4. Algebra of vector bundles -- 5. Maps and vector bundles -- 6. Vector bundles with C[superscript n] as fiber -- 7. Metrics on vector bundles -- 8. Geodesics -- 9. Properties of geodesics -- 10. Principal bundles -- 11. Covariant derivatives and connections -- 12. Covariant derivatives, connections and curvature -- 13. Flat connections and holonomy -- 14. Curvature polynomials and characteristic classes -- 15. Covariant derivatives and metrics -- 16. The Riemann curvature tensor -- 17. Complex manifolds -- 18. Holomorphic submanifolds, holomorphic sections and curvature -- 19. The Hodge star.
520 8 _aBundles, connections, metrics and curvature are the lingua franca of modern differential geometry and theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, this book would suit a one-semester course on the subject of bundles and the associated geometry.
650 0 _aGeometry, Differential.
830 0 _aOxford mathematics.
830 0 _aOxford graduate texts in mathematics ;
_v23.
906 _a7
_bcbc
_ccopycat
_d2
_encip
_f20
_gy-gencatlg
942 _2ddc
_cBK
999 _c19883
_d19883