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

This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place fr

Differential Geometry in Physics is a treatment of the mathematical foundations of the theory of general relativity and gauge theory of quantum fields. The mate

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

In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativi