Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of

A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically wit

This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.

Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homol

Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential