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

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

The final third of the book applies the mathematical ideas to important areas of physics: Hamiltonian mechanics, statistical mechanics, and electrodynamics." "T

Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.