Daniel Martin, Glasgow University, UK

• Vector spaces; Tensor algebra; Differential manifolds; Vector and tensor fields on a manifold; Exterior differential forms; Differentiation on a manifold; Pseudo-Riemannian and Riemannian manifolds; Symplectic manifolds; Lie groups; Integration on a manifold; Fibre bundles; Complex linear algebra and almost complex manifolds.

This blend of local coordinate methods and intrinsic differential geometry enables workers to read and do calculations in relativity and high energy particle research. It provides foundations for study in gauge theory, differential geometry and differential topology., Mathematical ReviewsDr Martin’s very readable differential geometry text for graduate students in physics could also be used for independent study., American Mathematical MonthlyAccessible and clear, students will appreciate the numerous examples., Zentralblatt fur Didaktik der Mathematik