TEST BANK FOR Manifolds, Tensor and Forms An Introduction for Mathematics and Physicists By Renteln Paul

1 Linear algebra page 1 2 Multilinear algebra 20 3 Differentiation on manifolds 33 4 Homotopy and de Rham cohomology 65 5 Elementary homology theory 77 6 Integration on manifolds 84 7 Vector bundles 90 8 Geometric manifolds 97 9 The degree of a smooth map 151 Appendix D Riemann normal coordinates 154 Appendix F Frobenius’ theorem 156 Appendix G The topology of electrical circuits 157 Appendix H Intrinsic and extrinsic curvature 158 iii 1 Linear algebra 1.1 We have 0 = c1(1, 1)...