02445cam a22004097a 4500 17108854 MWNLS 20150410144038.0 120106s2011 enka b 001 0 eng d 2011499898 015700674 Uk 9780199605880 (hbk.) 0199605882 (hbk.) 9780199605873 pbk.) 0199605874 (pbk.) (OCoLC)ocn760133929 SINUS SINUS UKMGB BTCTA YDXCP CDX NLE BWX IXA DCU OUP MUU IXA UBY IG$ VRC DLC lccopycat QA641 .T238 2011 516.36 22 Taubes, Clifford, 1954- Differential geometry : bundles, connections, metrics and curvature / Clifford Henry Taubes. Oxford ; New York : Oxford University Press, c2011. xiii, 298 p. : ill. ; 24 cm. Oxford mathematics Oxford graduate texts in mathematics ; 23 Includes bibliographical references and index. 1. 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. Bundles, 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. Geometry, Differential. Oxford mathematics. Oxford graduate texts in mathematics ; 23. 7 cbc copycat 2 ncip 20 y-gencatlg ddc BK 19883 19883 0 0 ddc 0 0 NFIC HQ HQ GEN 2015-04-10 Beit Trust 6000.00 2 516.36 TAU 0085063 2022-02-04 00:00:00 2022-01-14 9000.00 2015-04-10 BK 0 0 ddc 0 0 NFIC BT BT GEN 2015-04-10 Beit Trust 6000.00 516.36 TAU 0085064 2026-09-09 13:34:14 9000.00 2015-04-10 BK