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Differential Geometry is written by Clifford Henry Taubes and published by OUP Oxford. It's available with International Standard Book Number or ISBN identification 0199605874 (ISBN 10) and 9780199605873 (ISBN 13).
Bundles, connections, metrics & curvature are the lingua franca of modern differential geometry & theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, & providing numerous examples, the book would suit a one-semester course on the subject of bundles & the associated geometry