By Clifford Henry Taubes

ISBN-10: 0199605882

ISBN-13: 9780199605880

Bundles, connections, metrics and curvature are the 'lingua franca' of contemporary differential geometry and theoretical physics. This booklet will offer a graduate pupil in arithmetic or theoretical physics with the basics of those gadgets. some of the instruments utilized in differential topology are brought and the elemental effects approximately differentiable manifolds, delicate maps, differential varieties, vector fields, Lie teams, and Grassmanians are all awarded the following. different fabric coated comprises the fundamental theorems approximately geodesics and Jacobi fields, the class theorem for flat connections, the definition of attribute periods, and likewise an advent to complicated and Kahler geometry.Differential Geometry makes use of the various classical examples from, and functions of, the topics it covers, specifically these the place closed shape expressions can be found, to convey summary rules to existence. Helpfully, proofs are provided for the majority assertions all through. all the introductory fabric is gifted in complete and this can be the one such resource with the classical examples provided intimately.