Analysis, Manifolds and Physics, Part 1

The revised edition of this reference book provides an answer to the needs of graduate physical mathematics students and their teachers. It includes a new chapter on connections on principle fibre bundles, with sections on holonomy, characteristic classes, invariant curvature integrals, and problems on the geometry of gauge fields, monopoles, instantons, spin structures, and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.