Faculty of Science

Objectives

To introduce the modern geometrical methods which are currently at the forefront of much of theoretical physics.

Contents

Manifolds and submanifolds, Vector and tensor fields on manifolds, Exterior algebra and forms; curvature and Einstein’s field equation; Lie groups and bundles; Vector and fibre bundles in physics; Yang-Mill fields and the principle of general covariance; Applications in classical and quantum field theory.