|
|
|
|
| LEADER |
00000cam a2200000Ii 4500 |
| 001 |
b2497122 |
| 003 |
MWH |
| 005 |
20170809015041.0 |
| 008 |
170210t20172017sz ac b 001 0 eng d |
| 010 |
|
|
|a 2017935362
|
| 019 |
|
|
|a 971522653
|a 971599601
|a 971963078
|a 972101094
|a 973281960
|a 992225431
|
| 020 |
|
|
|a 3319550829
|
| 020 |
|
|
|a 9783319550824
|
| 035 |
|
|
|a (OCoLC)972272312
|
| 040 |
|
|
|a YDX
|b eng
|e rda
|c YDX
|d NKM
|d LRU
|d OHX
|d BDX
|d OCLCF
|d VA@
|
| 049 |
|
|
|a HCDD
|
| 050 |
0 |
0 |
|a QA641
|b .T76 2017
|
| 100 |
1 |
|
|a Tu, Loring W.,
|e author.
|
| 245 |
0 |
0 |
|a Differential geometry :
|b connections, curvature, and characteristic classes /
|c Loring W. Tu.
|
| 264 |
|
1 |
|a Cham, Switzerland :
|b Springer,
|c [2017]
|
| 264 |
|
4 |
|c ©2017
|
| 300 |
|
|
|a xvi, 346 pages :
|b illustrations (some color), portraits (some color) ;
|c 24 cm.
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a unmediated
|2 rdamedia
|
| 338 |
|
|
|a volume
|2 rdacarrier
|
| 490 |
1 |
|
|a Graduate texts in mathematics,
|x 0072-5285 ;
|v 275
|
| 504 |
|
|
|a Includes bibliographical references (pages 335-336) and index.
|
| 505 |
0 |
|
|a Preface -- Chapter 1. Curvature and Vector Fields -- 1. Riemannian Manifolds -- 2. Curves -- 3. Surfaces in Space -- 4. Directional Derivative in Euclidean Space -- 5. The Shape Operator -- 6. Affine Connections -- 7. Vector Bundles -- 8. Gauss's Theorema Egregium -- 9. Generalizations to Hypersurfaces in Rn+1 -- Chapter 2. Curvature and Differential Forms -- 10. Connections on a Vector Bundle -- 11. Connection, Curvature, and Torsion Forms -- 12. The Theorema Egregium Using Forms -- Chapter 3. Geodesics -- 13. More on Affine Connections -- 14. Geodesics -- 15. Exponential Maps -- 16. Distance and Volume -- 17. The Gauss-Bonnet Theorem -- Chapter 4. Tools from Algebra and Topology -- 18. The Tensor Product and the Dual Module -- 19. The Exterior Power -- 20. Operations on Vector Bundles -- 21. Vector-Valued Forms -- Chapter 5. Vector Bundles and Characteristic Classes -- 22. Connections and Curvature Again -- 23. Characteristic Classes -- 24. Pontrjagin Classes -- 25. The Euler Class and Chern Classes -- 26. Some Applications of Characteristic Classes -- Chapter 6. Principal Bundles and Characteristic Classes -- 27. Principal Bundles -- 28. Connections on a Principal Bundle -- 29. Horizontal Distributions on a Frame Bundle -- 30. Curvature on a Principal Bundle -- 31. Covariant Derivative on a Principal Bundle -- 32. Character Classes of Principal Bundles -- A. Manifolds -- B. Invariant Polynomials -- Hints and Solutions to Selected End-of-Section Problems -- List of Notations -- References -- Index.
|
| 650 |
|
0 |
|a Geometry, Differential.
|
| 650 |
|
0 |
|a Mathematics.
|
| 650 |
|
0 |
|a Geometry, Algebraic.
|
| 830 |
|
0 |
|a Graduate texts in mathematics ;
|v 275.
|
| 907 |
|
|
|a .b24971224
|b 11-14-17
|c 08-09-17
|
| 998 |
|
|
|a hq
|b 08-17-17
|c m
|d a
|e -
|f eng
|g sz
|h 0
|i 0
|
| 994 |
|
|
|a C0
|b HCD
|
| 945 |
|
|
|f - -
|g 1
|h 0
|i 38400004141121
|j - -
|k 02-09-2018 14:12
|l hqcol
|o -
|p $0.00
|q -
|r -
|s -
|t 0
|u 1
|v 0
|w 1
|x 0
|y .i17247159
|z 08-17-17
|
| 999 |
f |
f |
|i 8b540bd2-5e1b-5d51-a560-0712cd07f6d2
|s a5b8f476-c01c-5824-9eb0-7a78a3ed5f14
|t 0
|
| 952 |
f |
f |
|p Can Circulate
|a College of the Holy Cross
|b Main Campus
|c Science
|d Science Library
|t 0
|e QA641 .T76 2017
|h Library of Congress classification
|i Book
|m 38400004141121
|